메뉴 건너뛰기




Volumn 9780521660785, Issue , 2007, Pages 1-308

Granular physics

Author keywords

[No Author keywords available]

Indexed keywords

FLUIDIZATION; STATISTICAL MECHANICS;

EID: 84927078580     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9780511535314     Document Type: Book
Times cited : (125)

References (524)
  • 1
    • 0001510883 scopus 로고
    • On the dilatancy of media composed of rigid particles in contact, with experimental illustrations
    • Reynolds, O. 1885. On the dilatancy of media composed of rigid particles in contact, with experimental illustrations. Phil. Mag. 20 469-481.
    • (1885) Phil. Mag , vol.20 , pp. 469-481
    • Reynolds, O.1
  • 4
    • 0021295449 scopus 로고
    • The mechanics of rapid granular flows
    • 1988
    • Savage, S. B. 1984. The mechanics of rapid granular flows. Adv. Appl. Mech. 24 289-366; 1988.
    • (1984) Adv. Appl. Mech , vol.24 , pp. 289-366
    • Savage, S.B.1
  • 6
    • 0002902651 scopus 로고
    • Experiments on a gravity free dispersion of large solid particles in a Newtonian ?uid under shear
    • Bagnold, R. A. 1954. Experiments on a gravity free dispersion of large solid particles in a Newtonian ?uid under shear. Proc. Roy. Soc. London A225 49-63.
    • (1954) Proc. Roy. Soc. London , vol.225 , pp. 49-63
    • Bagnold, R.A.1
  • 7
    • 0000843619 scopus 로고
    • The shearing and dilatation of dry sand and the ‘singing’ mechanism
    • Bagnold, R. A. 1966. The shearing and dilatation of dry sand and the ‘singing’ mechanism. Proc. Roy. Soc. London A295 219-232.
    • (1966) Proc. Roy. Soc. London , vol.295 , pp. 219-232
    • Bagnold, R.A.1
  • 8
    • 0020875063 scopus 로고
    • Some mathematical and physical aspects of continuum models for the motion of granular materials
    • R. E. Meyer (New York: Academic)
    • Jackson, R. 1983. Some mathematical and physical aspects of continuum models for the motion of granular materials. In Theories of Dispersed Multiphase Flow, ed. R. E. Meyer (New York: Academic) 291-337.
    • (1983) Theories of Dispersed Multiphase Flow , pp. 291-337
    • Jackson, R.1
  • 9
    • 0020811698 scopus 로고
    • Grain ?ow as a ?uid-mechanical phenomenon
    • Haff, P. K. 1983. Grain ?ow as a ?uid-mechanical phenomenon. J. Fluid Mech. 134 401-430.
    • (1983) J. Fluid Mech , vol.134 , pp. 401-430
    • Haff, P.K.1
  • 10
    • 58149245989 scopus 로고
    • The theory of powders
    • G. E. Chiarotti, E. Fumi and M. P. Tosi 106 (New York: North Holland)
    • Edwards, S. F. 1990. The theory of powders. In Proceedings of the International School of Physics: Enrico Fermi, eds. G. E. Chiarotti, E. Fumi and M. P. Tosi 106 (New York: North Holland) 849.
    • (1990) Proceedings of the International School of Physics: Enrico Fermi , pp. 849
    • Edwards, S.F.1
  • 11
    • 0000702793 scopus 로고
    • The structure of liquids
    • Bernal, J. D. 1964. The structure of liquids. Proc. Roy. Soc. London A280 299-320.
    • (1964) Proc. Roy. Soc. London , vol.280 , pp. 299-320
    • Bernal, J.D.1
  • 12
    • 0001655886 scopus 로고
    • Random loose packings of uniform spheres and the dilatancy onset
    • Onoda, G. Y. And Liniger, E. G. 1990. Random loose packings of uniform spheres and the dilatancy onset. Phys. Rev. Lett. 64 2727-2730.
    • (1990) Phys. Rev. Lett , vol.64 , pp. 2727-2730
    • Onoda, G.Y.1    Liniger, E.G.2
  • 13
    • 0000936386 scopus 로고
    • Random packings of spheres and ?uidity limits of monodisperse and bidisperse suspensions
    • Shapiro, A. P. And Probstein, R. F. 1992. Random packings of spheres and ?uidity limits of monodisperse and bidisperse suspensions. Phys. Rev. Lett. 68 1422-1425.
    • (1992) Phys. Rev. Lett , vol.68 , pp. 1422-1425
    • Shapiro, A.P.1    Probstein, R.F.2
  • 14
    • 0005754680 scopus 로고
    • The rheology of powders
    • Edwards, S. F. 1990. The rheology of powders. Rheol. Acta. 29 493-499.
    • (1990) Rheol. Acta , vol.29 , pp. 493-499
    • Edwards, S.F.1
  • 15
    • 0242351781 scopus 로고
    • The ?ow of powders and of liquids of high viscosity
    • Edwards, S. F. 1990. The ?ow of powders and of liquids of high viscosity. J. Phys.: Condens. Matter 2 SA63-SA68.
    • (1990) J. Phys.: Condens. Matter , vol.2 , pp. 63-68
    • Edwards, S.F.1
  • 16
    • 0012995926 scopus 로고
    • The role of entropy in the specification of a powder
    • Anita Mehta (New York: Springer-Verlag)
    • Edwards, S. F. 1993. The role of entropy in the specification of a powder. In Granular Matter: An Interdisciplinary Approach, ed. Anita Mehta (New York: Springer-Verlag), 121-140.
    • (1993) Granular Matter: An Interdisciplinary Approach , pp. 121-140
    • Edwards, S.F.1
  • 17
    • 84927065239 scopus 로고
    • A new statistical approach to granular mixtures
    • J. Blackman and J. Taguenoa (Oxford: Oxford University Press)
    • Mehta, Anita and Edwards, S. F. 1990. A new statistical approach to granular mixtures. In Disorder in Condensed Matter Physics, ed. J. Blackman and J. Taguenoa (Oxford: Oxford University Press) 155-170.
    • (1990) Disorder in Condensed Matter Physics , pp. 155-170
    • Anita, M.1    Edwards, S.F.2
  • 18
    • 45149147100 scopus 로고
    • Statistical mechanics of powder mixtures
    • Mehta, Anita and Edwards, S. F. 1989. Statistical mechanics of powder mixtures. Physica A 157 1091-1100.
    • (1989) Physica , vol.157 , pp. 1091-1100
    • Anita, M.1    Edwards, S.F.2
  • 19
    • 0000632786 scopus 로고
    • Eight-vertex model in lattice statistics
    • Baxter, R. J. 1971. Eight-vertex model in lattice statistics. Phys. Rev. Lett. 26 832-833.
    • (1971) Phys. Rev. Lett , vol.26 , pp. 832-833
    • Baxter, R.J.1
  • 20
    • 0001867038 scopus 로고
    • Physics of hard-sphere colloidal suspensions
    • Anita Mehta (New York: Springer-Verlag)
    • Bartlett, P. And Van Megen, W. 1993. Physics of hard-sphere colloidal suspensions. In Granular Matter: An Interdisciplinary Approach, ed. Anita Mehta (New York: Springer-Verlag), 195-258.
    • (1993) Granular Matter: An Interdisciplinary Approach , pp. 195-258
    • Bartlett, P.1    Van Megen, W.2
  • 23
    • 0009263926 scopus 로고    scopus 로고
    • Rotated sandpiles: The role of grain reorganization and inertia
    • Barker, G. C. And Mehta, Anita 1996. Rotated sandpiles: The role of grain reorganization and inertia. Phys. Rev. E 53, 5704-5713.
    • (1996) Phys. Rev. E , vol.53 , pp. 5704-5713
    • Barker, G.C.1    Anita, M.2
  • 24
    • 84899067839 scopus 로고    scopus 로고
    • Dynamics at the angle of repose: Jamming, bistability, and collapse
    • Luck, J. M. And Mehta, Anita 2004. Dynamics at the angle of repose: Jamming, bistability, and collapse. JSTAT, P10015.
    • (2004) JSTAT , pp. 10015
    • Luck, J.M.1    Anita, M.2
  • 27
    • 84947825876 scopus 로고
    • Shaking dry powders and grains
    • Evesque, P. 1992. Shaking dry powders and grains. Contemporary Phys. 33 245-262.
    • (1992) Contemporary Phys , vol.33 , pp. 245-262
    • Evesque, P.1
  • 30
    • 0022676737 scopus 로고
    • Kinetic grain flow in a vertical channel
    • Hui, K. And Haff, P. K. 1986. Kinetic grain flow in a vertical channel. Int. J. Multiphase Flow 12 (2) 289-298.
    • (1986) Int. J. Multiphase Flow , vol.12 , Issue.2 , pp. 289-298
    • Hui, K.1    Haff, P.K.2
  • 31
    • 0000296017 scopus 로고
    • Random-walk approach to granular flows
    • Caram, H. And Hong, D. C. 1991. Random-walk approach to granular flows. Phys. Rev. Lett. 67 828-831.
    • (1991) Phys. Rev. Lett , vol.67 , pp. 828-831
    • Caram, H.1    Hong, D.C.2
  • 32
    • 0000816450 scopus 로고
    • Cellular automata models of granular flow
    • Baxter, G. W. And Behringer, R. P. 1990. Cellular automata models of granular flow. Phys. Rev. A 42 1017-1020.
    • (1990) Phys. Rev , vol.42 , pp. 1017-1020
    • Baxter, G.W.1    Behringer, R.P.2
  • 33
    • 0002153925 scopus 로고
    • Pattern formation and complexity in granular flows
    • Anita Mehta (New York: Springer-Verlag)
    • Behringer, R. P. And Baxter, G. W. 1993. Pattern formation and complexity in granular flows. In Granular Matter: An Interdisciplinary Approach, ed. Anita Mehta (New York: Springer-Verlag) 85-120.
    • (1993) Granular Matter: An Interdisciplinary Approach , pp. 85-120
    • Behringer, R.P.1    Baxter, G.W.2
  • 34
    • 84901007174 scopus 로고    scopus 로고
    • Cooperativity in sandpiles: Statistics of bridge geometries
    • Mehta, A., Barker, G. C., and Luck, J. M. 2004. Cooperativity in sandpiles: Statistics of bridge geometries. JSTAT, P10014.
    • (2004) JSTAT , pp. 10014
    • Mehta, A.1    Barker, G.C.2    Luck, J.M.3
  • 35
    • 0038095500 scopus 로고    scopus 로고
    • Why shape matters in granular compaction
    • Mehta, A. And Luck, J. M. 2003. Why shape matters in granular compaction. J. Phys. A 36 L365-L372.
    • (2003) J. Phys , vol.36 , pp. 365-372
    • Mehta, A.1    Luck, J.M.2
  • 36
    • 21044442729 scopus 로고    scopus 로고
    • A column of grains in the jamming limit: Glassy dynamics in the compaction process
    • Luck, J. M. And Mehta, A. 2003. A column of grains in the jamming limit: Glassy dynamics in the compaction process. Eur. Phys. J. B 35 399-411.
    • (2003) Eur. Phys. J , vol.35 , pp. 399-411
    • Luck, J.M.1    Mehta, A.2
  • 37
    • 29544441630 scopus 로고
    • What happens when water boils is a lot more complicated than vou might think
    • Walker, J. 1982. What happens when water boils is a lot more complicated than vou might think. Sci. Am. 247 6 162-171.
    • (1982) Sci. Am , vol.247 , Issue.6 , pp. 162-171
    • Walker, J.1
  • 39
    • 0000582187 scopus 로고
    • Convective flow of granular masses under vertical vibrations
    • Laroche, C., Douady, S., and Fauve, S. 1989. Convective flow of granular masses under vertical vibrations. J. Physique 50 699-706.
    • (1989) J. Physique , vol.50 , pp. 699-706
    • Laroche, C.1    Douady, S.2    Fauve, S.3
  • 40
    • 0000449879 scopus 로고
    • On the forms and states of fluids on vibrating elastic surfaces
    • Faraday, M. 1831. On the forms and states of fluids on vibrating elastic surfaces. Philos. Trans. R. Soc. London 52 319-340.
    • (1831) Philos. Trans. R. Soc. London , vol.52 , pp. 319-340
    • Faraday, M.1
  • 41
    • 0023744269 scopus 로고
    • A new theory of the instability of a uniformly fluidized bed
    • Batchelor, G. K. 1988. A new theory of the instability of a uniformly fluidized bed. J. Fluid Mech. 193 75-110.
    • (1988) J. Fluid Mech , vol.193 , pp. 75-110
    • Batchelor, G.K.1
  • 42
  • 43
    • 0000749234 scopus 로고
    • The Langevin dynamics of vibrated powders
    • Mehta, Anita, Needs, R. J., and Dattagupta, S. 1992. The Langevin dynamics of vibrated powders. J. Stat. Phys. 68 (5/6) 1131-1141.
    • (1992) J. Stat. Phys , vol.68 , Issue.5-6 , pp. 1131-1141
    • Anita, M.1    Needs, R.J.2    Dattagupta, S.3
  • 44
    • 84956239901 scopus 로고
    • Self-diffusion in granular flows
    • Zik, O. And Stavans, J. 1991. Self-diffusion in granular flows. Europhys. Lett. 16 255-258.
    • (1991) Europhys. Lett , vol.16 , pp. 255-258
    • Zik, O.1    Stavans, J.2
  • 45
    • 11944271695 scopus 로고
    • New origin of a convective motion: Elastically induced convection in granular materials
    • Taguchi, Y. H. 1992. New origin of a convective motion: Elastically induced convection in granular materials. Phys. Rev. Lett. 69 1367-1370.
    • (1992) Phys. Rev. Lett , vol.69 , pp. 1367-1370
    • Taguchi, Y.H.1
  • 47
    • 0001033420 scopus 로고
    • Surface waves in vertically vibrated granular materials
    • Pak, H. K. And Behringer, R. P. 1993. Surface waves in vertically vibrated granular materials. Phys. Rev. Lett. 71 1832-1835
    • (1993) Phys. Rev. Lett , vol.71 , pp. 1832-1835
    • Pak, H.K.1    Behringer, R.P.2
  • 48
    • 4243990975 scopus 로고
    • Hexagons, kinks, and disorder in oscillated granular layers
    • Melo, F., Umbanhowar, P. B., and Swinney, H. L. 1995. Hexagons, kinks, and disorder in oscillated granular layers. Phys. Rev. Lett. 75 3838-3841.
    • (1995) Phys. Rev. Lett , vol.75 , pp. 3838-3841
    • Melo, F.1    Umbanhowar, P.B.2    Swinney, H.L.3
  • 49
    • 0034515559 scopus 로고    scopus 로고
    • Wavelength scaling and square/stripe and grain mobility transitions in vertically oscillated granular layers
    • Umbanhowar, P. B. And Swinney, H. L. 2000. Wavelength scaling and square/stripe and grain mobility transitions in vertically oscillated granular layers. Physica A 288 345.
    • (2000) Physica , pp. 288-345
    • Umbanhowar, P.B.1    Swinney, H.L.2
  • 50
    • 0029663241 scopus 로고    scopus 로고
    • Localized excitations in a vertically vibrated layer
    • Umbanhowar, P. B., Melo, F., and Swinney, H. L. 1996. Localized excitations in a vertically vibrated layer. Nature, 382 793-796.
    • (1996) Nature , vol.382 , pp. 793-796
    • Umbanhowar, P.B.1    Melo, F.2    Swinney, H.L.3
  • 51
    • 36849151849 scopus 로고
    • Size segregation in powders
    • Barker, G. C. And Mehta, Anita 1993. Size segregation in powders. Nature 361 308.
    • (1993) Nature , vol.361 , pp. 308
    • Barker, G.C.1    Anita, M.2
  • 52
    • 0001741703 scopus 로고
    • Novel temporal behavior of a nonlinear dynamical system: The completely inelastic bouncing ball
    • Mehta, Anita and Luck, J. M. 1990. Novel temporal behavior of a nonlinear dynamical system: The completely inelastic bouncing ball. Phys. Rev. Lett. 65 393-396.
    • (1990) Phys. Rev. Lett , vol.65 , pp. 393-396
    • Anita, M.1    Luck, J.M.2
  • 53
    • 0001598347 scopus 로고
    • Bouncing ball with a flnite restitution: Chattering, locking, and chaos
    • Luck, J. M. And Mehta, Anita 1993. Bouncing ball with a flnite restitution: Chattering, locking, and chaos. Phys. Rev. E 48 3988-3997.
    • (1993) Phys. Rev. E , vol.48 , pp. 3988-3997
    • Luck, J.M.1    Anita, M.2
  • 54
    • 0346265086 scopus 로고    scopus 로고
    • Irregular diffusion in the bouncing ball billiard
    • Matyas, L. And Klages, M. 2004. Irregular diffusion in the bouncing ball billiard. Physica D 187 165-183.
    • (2004) Physica D , vol.187 , pp. 165-183
    • Matyas, L.1    Klages, M.2
  • 55
    • 5544305929 scopus 로고
    • Vibration-induced size separation in granular media: The convection connection
    • Knight, J. B., Jaeger, H. M., and Nagel, S. R. 1993. Vibration-induced size separation in granular media: The convection connection. Phys. Rev. Lett. 70 3728-3731.
    • (1993) Phys. Rev. Lett , vol.70 , pp. 3728-3731
    • Knight, J.B.1    Jaeger, H.M.2    Nagel, S.R.3
  • 56
    • 2142752542 scopus 로고    scopus 로고
    • Size separation in vibrated granular matter
    • Kudrolli, A. 2004. Size separation in vibrated granular matter. Rep. Prog. Phys. 67 209-247.
    • (2004) Rep. Prog. Phys , vol.67 , pp. 209-247
    • Kudrolli, A.1
  • 57
    • 5544230929 scopus 로고
    • Segregation of particulate materials-a review
    • Williams, J. C. 1976. Segregation of particulate materials-a review. Powder Tech. 15 245-251.
    • (1976) Powder Tech , vol.15 , pp. 245-251
    • Williams, J.C.1
  • 58
    • 0016578958 scopus 로고
    • Fundamental powder mixing mechanisms
    • Bridgwater, J. 1976. Fundamental powder mixing mechanisms. Powder Tech. 15 215-236.
    • (1976) Powder Tech , vol.15 , pp. 215-236
    • Bridgwater, J.1
  • 59
    • 4244059802 scopus 로고
    • Why the brazil nuts are on top: Size segregation of particulate matter by shaking
    • Rosato, A., Strandburg, K. J., Prinz, F., and Swendsen, R. H. 1987. Why the brazil nuts are on top: Size segregation of particulate matter by shaking. Phys. Rev. Lett. 58 1038-1042.
    • (1987) Phys. Rev. Lett , vol.58 , pp. 1038-1042
    • Rosato, A.1    Strandburg, K.J.2    Prinz, F.3    Swendsen, R.H.4
  • 60
    • 0025256266 scopus 로고
    • Theory of sedimentation in colloidal suspensions
    • Barker, G. C. And Grimson, M. J. 1990. Theory of sedimentation in colloidal suspensions. Colloids and Surfaces 43 55-66.
    • (1990) Colloids and Surfaces , vol.43 , pp. 55-66
    • Barker, G.C.1    Grimson, M.J.2
  • 61
    • 44949269794 scopus 로고
    • Dynamic computer simulation of concentrated hard sphere suspensions I. Simulation technique and mean square displacement data
    • Cichocki, B. And Hinsen, K. 1990. Dynamic computer simulation of concentrated hard sphere suspensions I. Simulation technique and mean square displacement data. Physica A166 473-491.
    • (1990) Physica , vol.166 , pp. 473-491
    • Cichocki, B.1    Hinsen, K.2
  • 62
    • 4243735112 scopus 로고
    • Vibrated powders: A microscopic approach
    • Mehta, Anita and Barker, G. C. 1991. Vibrated powders: A microscopic approach. Phys. Rev. Lett. 67 394-397.
    • (1991) Phys. Rev. Lett , vol.67 , pp. 394-397
    • Anita, M.1    Barker, G.C.2
  • 63
    • 0000812895 scopus 로고
    • Vibrated powders: Structure, correlations, and dynamics
    • Barker, G. C. And Mehta, Anita 1992. Vibrated powders: Structure, correlations, and dynamics. Phys. Rev. A 45 3435-3446.
    • (1992) Phys. Rev , vol.45 , pp. 3435-3446
    • Barker, G.C.1    Anita, M.2
  • 64
    • 10844295244 scopus 로고
    • Comment on Three-dimensional model for particle size segregation by shaking
    • Barker, G. C., Mehta, Anita, and Grimson, M. J. 1993. Comment on Three-dimensional model for particle size segregation by shaking. Phys. Rev. Lett. 70 2194.
    • (1993) Phys. Rev. Lett , vol.70 , pp. 2194
    • Barker, G.C.1    Anita, M.2    Grimson, M.J.3
  • 65
    • 5344274692 scopus 로고
    • Segregation phenomena in vibrated powders
    • C. Thornton (Rotterdam: Balkema)
    • Barker, G. C., Grimson, M. J., and Mehta, Anita. 1993. Segregation phenomena in vibrated powders. Powders and Grains 93, ed. C. Thornton (Rotterdam: Balkema), 253-257.
    • (1993) Powders and Grains 93 , pp. 253-257
    • Barker, G.C.1    Grimson, M.J.2    Anita, M.3
  • 66
    • 5844290410 scopus 로고
    • Self-organized criticality: An explanation of the 1/f noise
    • 1988
    • Bak, P., Tang, C., and Wiesenfeld, K. 1987. Self-organized criticality: An explanation of the 1/f noise. Phys. Rev. Lett. 59 381-384; 1988.
    • (1987) Phys. Rev. Lett , vol.59 , pp. 381-384
    • Bak, P.1    Tang, C.2    Wiesenfeld, K.3
  • 67
    • 15744401041 scopus 로고
    • Self-organized criticality
    • Bak, P., Tang, C., and Wiesenfeld, K. 1987. Self-organized criticality. Phys. Rev. A38 364-374.
    • (1987) Phys. Rev , vol.38 , pp. 364-374
    • Bak, P.1    Tang, C.2    Wiesenfeld, K.3
  • 68
    • 0001136620 scopus 로고
    • Real sandpiles: Dilatancy, hysteresis and cooperative dynamics
    • Mehta, Anita 1992. Real sandpiles: Dilatancy, hysteresis and cooperative dynamics. Physica A 186 121-153.
    • (1992) Physica , vol.186 , pp. 121-153
    • Anita, M.1
  • 69
    • 0038968011 scopus 로고
    • The self-organising sand pile
    • Mehta, Anita and Barker, G. C. 1991. The self-organising sand pile. New Scientist 1773 40-43.
    • (1991) New Scientist , vol.1773 , pp. 40-43
    • Anita, M.1    Barker, G.C.2
  • 70
    • 5344268040 scopus 로고
    • Avalanches in real sandpiles-the role of disorder
    • Thornton, C. (Rotterdam: Balkema)
    • Barker, G. C. And Mehta, Anita 1993. Avalanches in real sandpiles-the role of disorder. In Powders and Grains, ed. Thornton, C. (Rotterdam: Balkema), 315-320.
    • (1993) Powders and Grains , pp. 315-320
    • Barker, G.C.1    Anita, M.2
  • 72
    • 0000498940 scopus 로고
    • Instabilities in a sandpile
    • Nagel, S. R. 1992. Instabilities in a sandpile. Rev. Mod. Phys. 64 321-325.
    • (1992) Rev. Mod. Phys , vol.64 , pp. 321-325
    • Nagel, S.R.1
  • 73
    • 0026491010 scopus 로고
    • Physics of the granular state
    • Jaeger, H. M. And Nagel, S. R. 1992. Physics of the granular state. Science 255 1523-1531.
    • (1992) Science , vol.255 , pp. 1523-1531
    • Jaeger, H.M.1    Nagel, S.R.2
  • 74
    • 35949012533 scopus 로고
    • Relaxation at the angle of repose
    • Jaeger. H. M., Liu, C., and Nagel, S. R. 1989. Relaxation at the angle of repose. Phys. Rev. Lett. 62 40-43.
    • (1989) Phys. Rev. Lett , vol.62 , pp. 40-43
    • Jaeger, H.M.1    Liu, C.2    Nagel, S.R.3
  • 75
    • 45349111760 scopus 로고
    • The physics of fractals
    • Bak, P. And Chen, K. 1989. The physics of fractals. Physica D 38 5-12.
    • (1989) Physica , vol.38 , pp. 5-12
    • Bak, P.1    Chen, K.2
  • 77
    • 84957324098 scopus 로고
    • Disorder, memory and avalanches in sandpiles
    • Mehta, Anita and Barker, G. C. 1994. Disorder, memory and avalanches in sandpiles. Europhys. Lett. 27 501-506.
    • (1994) Europhys. Lett , vol.27 , pp. 501-506
    • Anita, M.1    Barker, G.C.2
  • 78
    • 4243947800 scopus 로고
    • Finite-size effects in a sandpile
    • Liu, C., Jaeger, H. M., and Nagel, S. R. 1991. Finite-size effects in a sandpile. Phys. Rev. A 43 7091-7092.
    • (1991) Phys. Rev , vol.43 , pp. 7091-7092
    • Liu, C.1    Jaeger, H.M.2    Nagel, S.R.3
  • 79
    • 0000563105 scopus 로고
    • Scaling and universality in avalanches
    • Kadanoff, L. P., Nagel, S. R., Wu, L., and Zhou, S. 1989. Scaling and universality in avalanches. Phys. Rev. A39 6524-6537.
    • (1989) Phys. Rev , vol.39 , pp. 6524-6537
    • Kadanoff, L.P.1    Nagel, S.R.2    Wu, L.3    Zhou, S.4
  • 81
    • 0012333448 scopus 로고
    • Inertia and break of self-organized criticality in sandpile cellular-automata models
    • Prado, C. P. C. And Olami, Z. 1992. Inertia and break of self-organized criticality in sandpile cellular-automata models. Phys. Rev. A45 665-669.
    • (1992) Phys. Rev , vol.45 , pp. 665-669
    • Prado, C.P.C.1    Olami, Z.2
  • 82
    • 11744298577 scopus 로고
    • Theoretical sandpile with stochastic slide
    • Ding, E. J., Lu, Y. N., and Ouyang, H. F. 1992. Theoretical sandpile with stochastic slide. Phys. Rev. A46 R6136-R6139.
    • (1992) Phys. Rev , vol.46 , pp. 6136-6139
    • Ding, E.J.1    Lu, Y.N.2    Ouyang, H.F.3
  • 83
    • 0001488694 scopus 로고
    • Deterministic 1/f noise in nonconservative models of self-organized criticality
    • Christensen, K., Olami, Z., and Bak, P. 1992. Deterministic 1/f noise in nonconservative models of self-organized criticality. Phys. Rev. Lett. 68 2417-2420.
    • (1992) Phys. Rev. Lett , vol.68 , pp. 2417-2420
    • Christensen, K.1    Olami, Z.2    Bak, P.3
  • 84
    • 0000879014 scopus 로고
    • On self-organized criticality in nonconserving systems
    • Socolar, J. E. S., Grinstein, G., and Jayaprakash, C. 1993. On self-organized criticality in nonconserving systems. Phys. Rev. E47 2366-2376.
    • (1993) Phys. Rev , vol.47 , pp. 2366-2376
    • Socolar, J.E.S.1    Grinstein, G.2    Jayaprakash, C.3
  • 85
    • 0034207537 scopus 로고    scopus 로고
    • Avalanches at rough surfaces
    • Barker, G. C. And Mehta, Anita 2000. Avalanches at rough surfaces. Phys. Rev. E 61 6765-6772.
    • (2000) Phys. Rev , vol.61 , pp. 6765-6772
    • Barker, G.C.1    Anita, M.2
  • 86
    • 0342583796 scopus 로고
    • Instabilities and pattern formation in crystal growth
    • Langer, J. S. 1980. Instabilities and pattern formation in crystal growth. Rev. Mod. Phys. 52 1-28.
    • (1980) Rev. Mod. Phys , vol.52 , pp. 1-28
    • Langer, J.S.1
  • 87
    • 0001884774 scopus 로고
    • The surface statistics of a granular aggregate
    • Edwards, S. F. And Wilkinson, D. R. 1982. The surface statistics of a granular aggregate. Proc. Roy. Soc. A 381 17-31.
    • (1982) Proc. Roy. Soc , vol.381 , pp. 17-31
    • Edwards, S.F.1    Wilkinson, D.R.2
  • 88
    • 4243979739 scopus 로고
    • Dynamic scaling of growing interfaces
    • Kardar, M., Parisi, G., and Zhang, Y. 1986. Dynamic scaling of growing interfaces. Phys. Rev. Lett. 56 889-892.
    • (1986) Phys. Rev. Lett , vol.56 , pp. 889-892
    • Kardar, M.1    Parisi, G.2    Zhang, Y.3
  • 90
    • 4243603916 scopus 로고
    • Large-Distance And Long-Time properties of a randomly stirred fluid
    • Forster, D., Nelson, D. R., and Stephen, M. J. 1977. Large-distance and long-time properties of a randomly stirred fluid. Phys. Rev. A 16 732-749.
    • (1977) Phys. Rev , vol.16 , pp. 732-749
    • Forster, D.1    Nelson, D.R.2    Stephen, M.J.3
  • 92
    • 0000793950 scopus 로고
    • Dissipative transport in open systems: An investigation of self-organized criticality
    • Hwa, T. And Kardar, M. 1989. Dissipative transport in open systems: An investigation of self-organized criticality Phys. Rev. Lett. 62 1813-1816.
    • (1989) Phys. Rev. Lett , vol.62 , pp. 1813-1816
    • Hwa, T.1    Kardar, M.2
  • 93
    • 0000862303 scopus 로고
    • Generic scale invariance and roughening in noisy model sandpiles and other driven interfaces
    • Grinstein, G. And Lee, D. H. 1991. Generic scale invariance and roughening in noisy model sandpiles and other driven interfaces. Phys. Rev. Lett. 66 177-180.
    • (1991) Phys. Rev. Lett , vol.66 , pp. 177-180
    • Grinstein, G.1    Lee, D.H.2
  • 94
    • 0000900269 scopus 로고
    • Conservation laws, anisotropy, and ‘self-organized criticalityi in noisy nonequilibrium systems
    • Grinstein, G., Lee, D. H., and Sachdev, S. 1990. Conservation laws, anisotropy, and ‘self-organized criticalityi in noisy nonequilibrium systems. Phys. Rev. Lett. 64 1927-1930.
    • (1990) Phys. Rev. Lett , vol.64 , pp. 1927-1930
    • Grinstein, G.1    Lee, D.H.2    Sachdev, S.3
  • 95
    • 0001143978 scopus 로고
    • Fluctuations in a nonequilibrium steady state: Basic equations
    • Kirkpatrick, T. R., Cohen, E. G. D., and Dorfman, J. 1982. Fluctuations in a nonequilibrium steady state: Basic equations. Phys. Rev. A 26 950-971.
    • (1982) Phys. Rev , vol.26 , pp. 950-971
    • Kirkpatrick, T.R.1    Cohen, E.G.D.2    Dorfman, J.3
  • 96
    • 5244292803 scopus 로고
    • Dirt roughens real sandpiles
    • Toner, John 1991. Dirt roughens real sandpiles. Phys. Rev. Lett. 66 679-682.
    • (1991) Phys. Rev. Lett , vol.66 , pp. 679-682
    • John, T.1
  • 97
    • 0002601152 scopus 로고    scopus 로고
    • Dynamics of sandpiles: Physical mechanisms, coupled stochastic equations, and alternative universality classes
    • Mehta, Anita, Luck, J. M., and Needs, R. J. 1996. Dynamics of sandpiles: Physical mechanisms, coupled stochastic equations, and alternative universality classes. Phys. Rev. E 53 92-102.
    • (1996) Phys. Rev , vol.53 , pp. 92-102
    • Anita, M.1    Luck, J.M.2    Needs, R.J.3
  • 98
    • 0000484586 scopus 로고    scopus 로고
    • Smoothing of sandpile surfaces after intermittent and continuous avalanches: Three models in search of an experiment
    • Biswas, P., Majumdar, A., Mehta, Anita, and Bhattacharjee, J. K. 1998. Smoothing of sandpile surfaces after intermittent and continuous avalanches: Three models in search of an experiment. Phys. Rev. E58 1266-1285.
    • (1998) Phys. Rev , vol.58 , pp. 1266-1285
    • Biswas, P.1    Majumdar, A.2    Anita, M.3    Bhattacharjee, J.K.4
  • 100
    • 33745193984 scopus 로고
    • Modelling the structures of amorphous metals and alloys
    • Finney, J. L. 1977. Modelling the structures of amorphous metals and alloys. Nature 266 309-314.
    • (1977) Nature , vol.266 , pp. 309-314
    • Finney, J.L.1
  • 101
    • 0000998189 scopus 로고
    • Random close packing of hard spheres and disks
    • Berryman, J. G. 1983. Random close packing of hard spheres and disks. Phys. Rev. A27 1053-1061.
    • (1983) Phys. Rev , vol.27 , pp. 1053-1061
    • Berryman, J.G.1
  • 102
    • 14744304914 scopus 로고    scopus 로고
    • Is random close packing of spheres well deflned?
    • Torquato, S., Truskett, T. M., and Debenedetti, P. G. 2000. Is random close packing of spheres well deflned? Phys. Rev. Lett. 84 2064-2067.
    • (2000) Phys. Rev. Lett , vol.84 , pp. 2064-2067
    • Torquato, S.1    Truskett, T.M.2    Debenedetti, P.G.3
  • 103
    • 0009539070 scopus 로고
    • Sequential random close packing of binary disc mixtures
    • Barker, G. C. And Grimson, M. J. 1989. Sequential random close packing of binary disc mixtures. J. Phys. Condens. Matter 1 2779-2789.
    • (1989) J. Phys. Condens. Matter , vol.1 , pp. 2779-2789
    • Barker, G.C.1    Grimson, M.J.2
  • 104
    • 33646968435 scopus 로고
    • A dynamic simulation of particle rearrangement in powder packings with realistic interactions
    • Yen, K. Z. Y. And Chaki, T. K. 1992. A dynamic simulation of particle rearrangement in powder packings with realistic interactions. J. Appl. Phys. 71 3164-3173.
    • (1992) J. Appl. Phys , vol.71 , pp. 3164-3173
    • Yen, K.Z.Y.1    Chaki, T.K.2
  • 105
    • 0001661573 scopus 로고
    • Restructuring effects in the rain model for random deposition
    • Meakin, P. And Jullien, R. 1987. Restructuring effects in the rain model for random deposition. Journal de Physique 48 1651-1662.
    • (1987) Journal de Physique , vol.48 , pp. 1651-1662
    • Meakin, P.1    Jullien, R.2
  • 106
    • 23344435627 scopus 로고
    • Serially deposited amorphous aggregates of hard spheres
    • Bennett, C. H. 1972. Serially deposited amorphous aggregates of hard spheres. J. Appl. Phys. 43 2727-2734.
    • (1972) J. Appl. Phys , vol.43 , pp. 2727-2734
    • Bennett, C.H.1
  • 107
    • 36949060547 scopus 로고
    • Random packing of equal and unequal spheres in two and three dimensions
    • Visscher, W. M. And Bolsterli, M. 1972. Random packing of equal and unequal spheres in two and three dimensions. Nature 239 504-507.
    • (1972) Nature , vol.239 , pp. 504-507
    • Visscher, W.M.1    Bolsterli, M.2
  • 108
    • 0000802606 scopus 로고
    • The dynamics of sand
    • Mehta, Anita and Barker, G. C. 1994. The dynamics of sand. Rep. Prog. Phys. 57 383-416.
    • (1994) Rep. Prog. Phys , vol.57 , pp. 383-416
    • Anita, M.1    Barker, G.C.2
  • 109
    • 22944443017 scopus 로고
    • Computer simulation of close random packing of equal spheres
    • Jodrey, W. S. And Tory, E. M. 1985. Computer simulation of close random packing of equal spheres. Phys. Rev. A 32 2347-2351.
    • (1985) Phys. Rev. A , vol.32 , pp. 2347-2351
    • Jodrey, W.S.1    Tory, E.M.2
  • 110
    • 0026941367 scopus 로고
    • Computer simulation of random packing of hard spheres
    • Nolan, G. T. And Kavanagh, P. E. 1992. Computer simulation of random packing of hard spheres. Powder Technology 72 149-155.
    • (1992) Powder Technology , vol.72 , pp. 149-155
    • Nolan, G.T.1    Kavanagh, P.E.2
  • 111
    • 0025470530 scopus 로고
    • Computer simulations of random packings of hard spheres
    • Soppe, W. 1990. Computer simulations of random packings of hard spheres. Powder Technology 62 189-197.
    • (1990) Powder Technology , vol.62 , pp. 189-197
    • Soppe, W.1
  • 113
    • 0000845172 scopus 로고    scopus 로고
    • Transport coef?cients for granular media from molecular dynamics simulations
    • Bizon, C., Shattuck, M. D., Swift, J. B., and Swinney, H. L. 1999. Transport coef?cients for granular media from molecular dynamics simulations. Phys. Rev. E60 4340-4351
    • (1999) Phys. Rev , vol.60 , pp. 4340-4351
    • Bizon, C.1    Shattuck, M.D.2    Swift, J.B.3    Swinney, H.L.4
  • 114
    • 18744399894 scopus 로고    scopus 로고
    • Rotationally driven gas of inelastic rough spheres
    • Caflero, R., Luding, S., and Herrmann, H. J. 2002. Rotationally driven gas of inelastic rough spheres. Europhys. Lett. 60 854-860.
    • (2002) Europhys. Lett , vol.60 , pp. 854-860
    • Caflero, R.1    Luding, S.2    Herrmann, H.J.3
  • 115
    • 0020925533 scopus 로고
    • Application of molecular dynamics to macroscopic particles
    • Walton, O. R. 1984. Application of molecular dynamics to macroscopic particles. Int. J. Eng. Sci. 22 1097-1107.
    • (1984) Int. J. Eng. Sci , vol.22 , pp. 1097-1107
    • Walton, O.R.1
  • 116
    • 0022138225 scopus 로고
    • Viscosity, granular-temperature, and stress calculations for shearing assemblies of inelastic, frictional disks
    • Walton, O. R. And Braun, R. L. 1986. Viscosity, granular-temperature, and stress calculations for shearing assemblies of inelastic, frictional disks. J. Rheol. 30 949-980.
    • (1986) J. Rheol , vol.30 , pp. 949-980
    • Walton, O.R.1    Braun, R.L.2
  • 117
    • 0022026421 scopus 로고
    • Chute flows of granular material: Some computer simulations
    • 1985
    • Campbell, C. S. And Brennen, C. E. 1985. Chute flows of granular material: Some computer simulations. J. Appl. Mech. 52 172-178; 1985.
    • (1985) J. Appl. Mech , vol.52 , pp. 172-178
    • Campbell, C.S.1    Brennen, C.E.2
  • 118
    • 0022164741 scopus 로고
    • Computer simulations of granular shear flows
    • Campbell, C. S. And Brennen, C. E. 1985. Computer simulations of granular shear flows. J. Fluid Mech. 151 167-188.
    • (1985) J. Fluid Mech , vol.151 , pp. 167-188
    • Campbell, C.S.1    Brennen, C.E.2
  • 119
    • 34250089909 scopus 로고
    • Immiscible cellular-automaton fluids
    • Rothman, D. H. And Keller, J. M. 1988. Immiscible cellular-automaton fluids. J. Stat. Phys. 52 1119-1127.
    • (1988) J. Stat. Phys , vol.52 , pp. 1119-1127
    • Rothman, D.H.1    Keller, J.M.2
  • 121
    • 35949005304 scopus 로고
    • Cellular-automaton model for segregation of a two-species granular flow
    • Fitt, A. D. And Wilmott, P. 1992. Cellular-automaton model for segregation of a two-species granular flow. Phys. Rev. A45 2383-2388.
    • (1992) Phys. Rev , vol.45 , pp. 2383-2388
    • Fitt, A.D.1    Wilmott, P.2
  • 122
    • 0018441375 scopus 로고
    • A discrete numerical model for granular assemblies
    • Cundall, P. A. And Strack, O. D. L. 1979. A discrete numerical model for granular assemblies. Geotechnique 29 47-65.
    • (1979) Geotechnique , vol.29 , pp. 47-65
    • Cundall, P.A.1    Strack, O.D.L.2
  • 124
    • 84956208719 scopus 로고
    • A Monte Carlo study of granular relaxation
    • Duke, T. A. J., Barker, G. C., and Mehta, Anita 1990. A Monte Carlo study of granular relaxation. Europhys. Lett. 13 19-24.
    • (1990) Europhys. Lett , vol.13 , pp. 19-24
    • Duke, T.A.J.1    Barker, G.C.2    Anita, M.3
  • 126
    • 3543096498 scopus 로고    scopus 로고
    • Dynamical heterogeneity in a supercooled Lennard-Jones mixture
    • Kob, W., Donati, C., Plimpton, S. J., Poole, P. H., and Glotzer, S. C. 1997 Dynamical heterogeneity in a supercooled Lennard-Jones mixture. Phys. Rev. Lett. 79 2827-2830.
    • (1997) Phys. Rev. Lett , vol.79 , pp. 2827-2830
    • Kob, W.1    Donati, C.2    Plimpton, S.J.3    Poole, P.H.4    Glotzer, S.C.5
  • 127
    • 0034723445 scopus 로고    scopus 로고
    • Three-dimensional direct imaging of structural relaxation near the colloidal glass transition
    • Weeks, E. R., Crocker, D. E., Levitt, A. C., Schofleld, A., and Weitz, D. A., 2002. Three-dimensional direct imaging of structural relaxation near the colloidal glass transition. Science 287 627-631.
    • (2002) Science , vol.287 , pp. 627-631
    • Weeks, E.R.1    Crocker, D.E.2    Levitt, A.C.3    Schofleld, A.4    Weitz, D.A.5
  • 128
    • 0026679028 scopus 로고
    • Microstructural descriptors characterizing granular deposits
    • Tassopoulos, M. And Rosner, D. E. 1992. Microstructural descriptors characterizing granular deposits. A. I. Ch. E. 38 15-25.
    • (1992) A. I. Ch. E , vol.38 , pp. 15-25
    • Tassopoulos, M.1    Rosner, D.E.2
  • 129
    • 0035540840 scopus 로고    scopus 로고
    • Bistability and hysteresis in tilted sandpiles
    • Mehta, Anita and Barker, G. C. 2001. Bistability and hysteresis in tilted sandpiles. Europhys. Lett. 56 626-632.
    • (2001) Europhys. Lett , vol.56 , pp. 626-632
    • Anita, M.1    Barker, G.C.2
  • 130
    • 8344243752 scopus 로고    scopus 로고
    • The geometry of empty space is the key to arresting dynamics
    • Lawlor, A., De Gregorio, P., Dawson, K. A. (2004) The geometry of empty space is the key to arresting dynamics. J. Phys.-Cond. Mat. 16 S4841-S4848.
    • (2004) J. Phys.-Cond. Mat , vol.16 , pp. 4841-4848
    • Lawlor, A.1    De Gregorio, P.2    Dawson, K.A.3
  • 131
    • 0035335314 scopus 로고    scopus 로고
    • Numerical model for granular compaction under vertical tapping
    • Philippe, P. And Bideau, D. 2001. Numerical model for granular compaction under vertical tapping. Phys. Rev. E 63 51304-51313.
    • (2001) Phys. Rev , vol.63 , pp. 51304-51313
    • Philippe, P.1    Bideau, D.2
  • 132
    • 0023166831 scopus 로고
    • The use of bulk density determination as a means of typifying the flow characteristics of loosely compacted powders under conditions of variable relative humidity
    • Harnby, N., Hawkins, A. E., and Vandamme, D. E. 1987. The use of bulk density determination as a means of typifying the flow characteristics of loosely compacted powders under conditions of variable relative humidity. Chem. Eng. Sci. 42 879-888.
    • (1987) Chem. Eng. Sci , vol.42 , pp. 879-888
    • Harnby, N.1    Hawkins, A.E.2    Vandamme, D.E.3
  • 133
    • 0001007356 scopus 로고
    • Transient phenomena, self-diffusion, and orientational effects in vibrated powders
    • Barker, G. C. And Mehta, Anita 1993. Transient phenomena, self-diffusion, and orientational effects in vibrated powders. Phys. Rev. E 47 184-188.
    • (1993) Phys. Rev , vol.47 , pp. 184-188
    • Barker, G.C.1    Anita, M.2
  • 134
    • 2542479067 scopus 로고    scopus 로고
    • Inhomogeneous relaxation in vibrated granular media: Consolidation waves
    • Barker, G. C. And Mehta, Anita 2002. Inhomogeneous relaxation in vibrated granular media:consolidation waves, Phase Transitions 75 519-528.
    • (2002) Phase Transitions , vol.75 , pp. 519-528
    • Barker, G.C.1    Anita, M.2
  • 135
    • 0034224291 scopus 로고    scopus 로고
    • Glassy dynamics of granular compaction
    • Mehta, Anita and Barker, G. C. 2000. Glassy dynamics of granular compaction. J. Phys.-Cond. Mat. 12 6619-6628.
    • (2000) J. Phys.-Cond. Mat , vol.12 , pp. 6619-6628
    • Anita, M.1    Barker, G.C.2
  • 136
    • 0034206886 scopus 로고    scopus 로고
    • Compaction of rods: Relaxation and ordering in vibrated, anisotropic granular material
    • Villarruel, F. X., Lauderdale, B. E., Mueth, D. E., and Jaeger, H. E. 2000. Compaction of rods: Relaxation and ordering in vibrated, anisotropic granular material. Phys. Rev. E 61 6914-6921.
    • (2000) Phys. Rev , vol.61 , pp. 6914-6921
    • Villarruel, F.X.1    Lauderdale, B.E.2    Mueth, D.E.3    Jaeger, H.E.4
  • 138
    • 0000769796 scopus 로고
    • A mechanism for particle size segregation in three dimensions
    • Jullien, R. And Meakin, P. 1990. A mechanism for particle size segregation in three dimensions. Nature 425-427.
    • (1990) Nature , pp. 425-427
    • Jullien, R.1    Meakin, P.2
  • 140
    • 0025402102 scopus 로고
    • Scaling behaviour in size segregation (Brazil nuts)
    • Devillard, P. 1990. Scaling behaviour in size segregation (Brazil nuts). Journal de Physique 51 369-373.
    • (1990) Journal de Physique , vol.51 , pp. 369-373
    • Devillard, P.1
  • 143
    • 0035831831 scopus 로고    scopus 로고
    • Reverse Brazil nut problem: Competition between percolation and condensation
    • Hong, D. C., Quinn, P. V., and Luding, S. 2001. Reverse Brazil nut problem: Competition between percolation and condensation. Phys. Rev. Lett. 86 3423-3426.
    • (2001) Phys. Rev. Lett , vol.86 , pp. 3423-3426
    • Hong, D.C.1    Quinn, P.V.2    Luding, S.3
  • 144
    • 2942659897 scopus 로고    scopus 로고
    • The Brazil nut effect-in reverse
    • Shinbrot, T. 2004. The Brazil nut effect-in reverse. Nature 429 352-353.
    • (2004) Nature , vol.429 , pp. 352-353
    • Shinbrot, T.1
  • 146
    • 0030949393 scopus 로고    scopus 로고
    • Spontaneous stratification in granular mixtures
    • Makse, H. A., Havlin, S., King, P. R., and Stanley, H. E. 1997. Spontaneous stratification in granular mixtures. Nature 386 379-382.
    • (1997) Nature , vol.386 , pp. 379-382
    • Makse, H.A.1    Havlin, S.2    King, P.R.3    Stanley, H.E.4
  • 147
    • 0038610815 scopus 로고    scopus 로고
    • Controlling cohesive particle mixing and segregation
    • Li, H. And McCarthy, J. J. 2003. Controlling cohesive particle mixing and segregation. Phys. Rev. Lett. 90 184301.
    • (2003) Phys. Rev. Lett , vol.90 , pp. 184-301
    • Li, H.1    Mc Carthy, J.J.2
  • 148
    • 0002044939 scopus 로고    scopus 로고
    • Nonequilibrium patterns in granular mixing and segregation
    • Shinbrot, T. And Muzzio, F. J. 2000. Nonequilibrium patterns in granular mixing and segregation. Physics Today 25-30.
    • (2000) Physics Today , pp. 25-30
    • Shinbrot, T.1    Muzzio, F.J.2
  • 149
    • 0000047591 scopus 로고    scopus 로고
    • Pulsed gradient spin echo nuclear magnetic resonance imaging of diffusion in granular flow
    • Seymour, J. D., Caprihan, A., Altobelli, S. A., and Fukushima, E. 2000. Pulsed gradient spin echo nuclear magnetic resonance imaging of diffusion in granular flow. Phys. Rev. Lett. 84 266-269.
    • (2000) Phys. Rev. Lett , vol.84 , pp. 266-269
    • Seymour, J.D.1    Caprihan, A.2    Altobelli, S.A.3    Fukushima, E.4
  • 150
    • 4944254010 scopus 로고    scopus 로고
    • A Taylor vortex analogy in granular flows
    • Conway, S. L., Shinbrot, T., and Glasser, B. J. 2004. A Taylor vortex analogy in granular flows. Nature 431 433-437.
    • (2004) Nature , vol.431 , pp. 433-437
    • Conway, S.L.1    Shinbrot, T.2    Glasser, B.J.3
  • 152
    • 0035951732 scopus 로고    scopus 로고
    • The use of optimized Monte Carlo methods for studying spin glasses
    • Marinari, E., Parisi, G., Ricci-Tersenghi, F., and Zuliani, F. 2001. The use of optimized Monte Carlo methods for studying spin glasses. J. Phys. A 34 383-390.
    • (2001) J. Phys , vol.34 , pp. 383-390
    • Marinari, E.1    Parisi, G.2    Ricci-Tersenghi, F.3    Zuliani, F.4
  • 154
    • 0033096572 scopus 로고    scopus 로고
    • Granular matter: A tentative view
    • De Gennes, P. G. 1999. Granular matter: A tentative view. Rev. Mod. Phys. 71 S374-S382.
    • (1999) Rev. Mod. Phys , vol.71 , pp. 374-382
    • De Gennes, P.G.1
  • 155
    • 0035846678 scopus 로고    scopus 로고
    • On random graphs and the statistical mechanics of granular matter
    • Berg, J. And Mehta, Anita 2001. On random graphs and the statistical mechanics of granular matter. Europhys. Lett. 56 784-790.
    • (2001) Europhys. Lett , vol.56 , pp. 784-790
    • Berg, J.1    Anita, M.2
  • 156
    • 41349092027 scopus 로고    scopus 로고
    • Glassy dynamics in granular compaction: Sand on random graphs
    • E 031305
    • Berg, J. And Mehta, Anita 2002. Glassy dynamics in granular compaction: Sand on random graphs. Phys. Rev. E 65 031305.
    • (2002) Phys. Rev , vol.65
    • Berg, J.1    Anita, M.2
  • 157
    • 0346073583 scopus 로고    scopus 로고
    • The equations of stress in a granular material
    • Edwards, S. F. 1998. The equations of stress in a granular material. Physica A 249 226-231.
    • (1998) Physica , vol.249 , pp. 226-231
    • Edwards, S.F.1
  • 158
    • 1142274207 scopus 로고    scopus 로고
    • Improving the density of jammed disordered packings using ellipsoids
    • Donev, A., Cisse, I., Sachs, D., et al. 2004. Improving the density of jammed disordered packings using ellipsoids. Science 303 990-993.
    • (2004) Science , vol.303 , pp. 990-993
    • Donev, A.1    Cisse, I.2    Sachs, D.3
  • 160
    • 0035121047 scopus 로고    scopus 로고
    • Jamming of granular flow in a two-dimensional hopper
    • To, K., Lai, P. Y., and Pak, H. K. 2001. Jamming of granular flow in a two-dimensional hopper. Phys. Rev. Lett. 86 71-74.
    • (2001) Phys. Rev. Lett , vol.86 , pp. 71-74
    • To, K.1    Lai, P.Y.2    Pak, H.K.3
  • 162
    • 0000704967 scopus 로고    scopus 로고
    • Force distribution in a granular medium
    • Mueth, D. M., Jaeger, H. M., and Nagel, S. R. 1998. Force distribution in a granular medium. Phys. Rev. E 57 3164-3169.
    • (1998) Phys. Rev , vol.57 , pp. 3164-3169
    • Mueth, D.M.1    Jaeger, H.M.2    Nagel, S.R.3
  • 163
    • 21344432493 scopus 로고    scopus 로고
    • Contact force measurements and stress-induced anisotropy in granular materials
    • Majmudar, T. S. And Behringer, R. P. 2005. Contact force measurements and stress-induced anisotropy in granular materials. Nature 435 1079-1082.
    • (2005) Nature , vol.435 , pp. 1079-1082
    • Majmudar, T.S.1    Behringer, R.P.2
  • 164
    • 45849155849 scopus 로고    scopus 로고
    • Force distributions in three compressible granular packs
    • E 040301(R)
    • Erikson, J. M., Mueggenburg, N. W., Jaeger, H. M., and Nagel, S. R. 2002. Force distributions in three compressible granular packs. Phys. Rev. E 66 040301(R).
    • (2002) Phys. Rev , vol.66
    • Erikson, J.M.1    Mueggenburg, N.W.2    Jaeger, H.M.3    Nagel, S.R.4
  • 166
  • 167
    • 36149005118 scopus 로고
    • On the theory of the Brownian motion
    • Uhlenbeck, G. E. And Ornstein, L. S. 1930. On the theory of the Brownian motion. Phys. Rev. 36 823-841.
    • (1930) Phys. Rev , vol.36 , pp. 823-841
    • Uhlenbeck, G.E.1    Ornstein, L.S.2
  • 168
    • 36149027699 scopus 로고
    • On the theory of the Brownian motion II
    • Wang, M. C. And Uhlenbeck, G. E. 1945. On the theory of the Brownian motion II. Rev. Mod. Phys. 17 323-343.
    • (1945) Rev. Mod. Phys , vol.17 , pp. 323-343
    • Wang, M.C.1    Uhlenbeck, G.E.2
  • 169
    • 0034248071 scopus 로고    scopus 로고
    • Two types of avalanche behaviour in model granular media
    • Barker, G. C. And Mehta, Anita 2000. Two types of avalanche behaviour in model granular media. Physica A 283 328-336.
    • (2000) Physica , vol.283 , pp. 328-336
    • Barker, G.C.1    Anita, M.2
  • 170
    • 0033587053 scopus 로고    scopus 로고
    • Two types of avalanche behaviour in granular media
    • Daerr, A. And Douady, S. 1999. Two types of avalanche behaviour in granular media. Nature 399 241-243.
    • (1999) Nature , vol.399 , pp. 241-243
    • Daerr, A.1    Douady, S.2
  • 171
    • 0001138912 scopus 로고
    • Three lectures on diffusion, Brownian molecular movement and coagulation of colloidal particles
    • Smoluchowski, M. V. 1916. Three lectures on diffusion, Brownian molecular movement and coagulation of colloidal particles Z. Phys. 17 557-571.
    • (1916) Z. Phys , vol.17 , pp. 557-571
    • Smoluchowski, M.V.1
  • 172
    • 0042103380 scopus 로고    scopus 로고
    • The dynamics of sandpiles: The competing roles of grains and clusters
    • Mehta, Anita, Barker, G. C., Luck, J. M., and Needs, R. J. 1996. The dynamics of sandpiles: The competing roles of grains and clusters. Physica A224 48-67.
    • (1996) Physica , vol.224 , pp. 48-67
    • Anita, M.1    Barker, G.C.2    Luck, J.M.3    Needs, R.J.4
  • 173
    • 0031097281 scopus 로고    scopus 로고
    • Origins of scale invariance in growth processes
    • Krug, J. 1997. Origins of scale invariance in growth processes. Advances in Physics 46 139-282.
    • (1997) Advances in Physics , vol.46 , pp. 139-282
    • Krug, J.1
  • 175
    • 4243651906 scopus 로고
    • On backbends on percolation backbones
    • Barma, M. And Ramaswamy, R. 1986. On backbends on percolation backbones. J. Phys. A 19 L605-611.
    • (1986) J. Phys , vol.19 , pp. 605-611
    • Barma, M.1    Ramaswamy, R.2
  • 176
    • 0031282591 scopus 로고    scopus 로고
    • Reversibility and irreversibility in the packing of vibrated granular material
    • Nowak, E. R., Knight, J. B., Povinelli, M., Jaeger, H. M., and Nagel, S. R. 1997. Reversibility and irreversibility in the packing of vibrated granular material. Powder Technology 94 79-83.
    • (1997) Powder Technology , vol.94 , pp. 79-83
    • Nowak, E.R.1    Knight, J.B.2    Povinelli, M.3    Jaeger, H.M.4    Nagel, S.R.5
  • 179
    • 0000187166 scopus 로고    scopus 로고
    • A ‘Tetris-like’ model for the compaction of dry granular media
    • Caglioti, E., Loreto, V., Herrmann, H. J., and Nicodemi, M. 1997. A ‘Tetris-like’ model for the compaction of dry granular media. Phys. Rev. Lett. 79 1575-1578.
    • (1997) Phys. Rev. Lett , vol.79 , pp. 1575-1578
    • Caglioti, E.1    Loreto, V.2    Herrmann, H.J.3    Nicodemi, M.4
  • 180
    • 0034226631 scopus 로고    scopus 로고
    • Emergence of macroscopic temperatures in systems that are not thermodynamical microscopically: Towards a thermodynamical description of slow granular rheology
    • Kurchan, J. 2000. Emergence of macroscopic temperatures in systems that are not thermodynamical microscopically: Towards a thermodynamical description of slow granular rheology. J. Phys. Cond. Mat. 12 6611-6617.
    • (2000) J. Phys. Cond. Mat , vol.12 , pp. 6611-6617
    • Kurchan, J.1
  • 182
    • 0000577820 scopus 로고
    • Kinetic lattice-gas model of cage effects in high-density liquids and a test of mode-coupling theory of the ideal-glass transition
    • Kob, W. And Andersen, H. C. 1993. Kinetic lattice-gas model of cage effects in high-density liquids and a test of mode-coupling theory of the ideal-glass transition. Phys. Rev. E 48 4364-4377.
    • (1993) Phys. Rev , vol.48 , pp. 4364-4377
    • Kob, W.1    Andersen, H.C.2
  • 183
    • 65549088216 scopus 로고
    • Phase diagrams for dilute spin glasses
    • Viana, L. And Bray, A. J. 1985. Phase diagrams for dilute spin glasses. J. Phys. C 18 3037-3051.
    • (1985) J. Phys , vol.18 , pp. 3037-3051
    • Viana, L.1    Bray, A.J.2
  • 184
    • 0033536221 scopus 로고    scopus 로고
    • Determining computational complexity from characteristic ‘phase transitions’
    • Monasson, R., Kirkpatrick, S., Selman, B., Troyansky, L., and Zecchina, R. 1999. Determining computational complexity from characteristic ‘phase transitions’. Nature 400 133-137.
    • (1999) Nature , vol.400 , pp. 133-137
    • Monasson, R.1    Kirkpatrick, S.2    Selman, B.3    Troyansky, L.4    Zecchina, R.5
  • 185
    • 18344377121 scopus 로고    scopus 로고
    • Simplest random K-satisflability problem
    • E 026702
    • Ricci-Tersenghi, F., Weigt, M., and Zecchina, R. 2001. Simplest random K-satisflability problem. Phys. Rev. E 63 026702.
    • (2001) Phys. Rev , vol.63
    • Ricci-Tersenghi, F.1    Weigt, M.2    Zecchina, R.3
  • 186
    • 0001072821 scopus 로고    scopus 로고
    • Glassy dynamics in an exactly solvable spin model
    • Newman, M. And Moore, C. 1999. Glassy dynamics in an exactly solvable spin model. Phys Rev. E 60 5068-5072.
    • (1999) Phys Rev , vol.60 , pp. 5068-5072
    • Newman, M.1    Moore, C.2
  • 187
    • 0035908124 scopus 로고    scopus 로고
    • Tapping spin glasses and ferromagnets on random graphs
    • Dean, A. S. And Lefevre, A. 2001. Tapping spin glasses and ferromagnets on random graphs. Phys. Rev. Lett. 86 5639-5642.
    • (2001) Phys. Rev. Lett , vol.86 , pp. 5639-5642
    • Dean, A.S.1    Lefevre, A.2
  • 188
    • 4243301986 scopus 로고    scopus 로고
    • Density-noise power fluctuations in vibrated granular media
    • E 020301
    • Nowak, E. R., Grushin, A., Barnum, A. C. B., and Weissman, M. B. 2001. Density-noise power fluctuations in vibrated granular media. Phys. Rev. E 63 020301.
    • (2001) Phys. Rev , vol.63
    • Nowak, E.R.1    Grushin, A.2    Barnum, A.C.B.3    Weissman, M.B.4
  • 189
    • 0001377495 scopus 로고    scopus 로고
    • Time scale separation and heterogeneous off-equilibrium dynamics in spin models over random graphs
    • Barrat, A. And Zecchina, R. 1999. Time scale separation and heterogeneous off-equilibrium dynamics in spin models over random graphs. Phys. Rev. E 59 R1299-R1302.
    • (1999) Phys. Rev , vol.59 , pp. 1299-1302
    • Barrat, A.1    Zecchina, R.2
  • 190
    • 0000053386 scopus 로고
    • Structural glass transition and the entropy of the metastable states
    • Monasson, R. 1995. Structural glass transition and the entropy of the metastable states. Phys. Rev. Lett. 75, 2847-2850.
    • (1995) Phys. Rev. Lett , vol.75 , pp. 2847-2850
    • Monasson, R.1
  • 191
    • 0000795084 scopus 로고
    • Recipes for metastable states in spin glasses
    • Franz, S. And Parisi, G. 1995. Recipes for metastable states in spin glasses. J. Physique 5 1401-1415.
    • (1995) J. Physique , vol.5 , pp. 1401-1415
    • Franz, S.1    Parisi, G.2
  • 192
    • 0001407169 scopus 로고    scopus 로고
    • Out of equilibrium dynamics in spin-glasses and other glassy systems
    • Young, A. P. (Singapore: World Scientific)
    • Bouchaud, J.-P., Cugliandolo, L. F., Kurchan, J., and Mezard, M. 1997. Out of equilibrium dynamics in spin-glasses and other glassy systems. In Spin Glasses and Random flelds, ed. Young, A. P. (Singapore: World Scientific).
    • (1997) Spin Glasses and Random flelds
    • Bouchaud, J.-P.1    Cugliandolo, L.F.2    Kurchan, J.3    Mezard, M.4
  • 193
    • 0000784867 scopus 로고    scopus 로고
    • Glassy behavior of the parking lot model
    • Kolan, A. J., Nowak, E. R., and Tchakenko, A. J. 1999. Glassy behavior of the parking lot model. Phys. Rev. E 59 3094-3099.
    • (1999) Phys. Rev , vol.59 , pp. 3094-3099
    • Kolan, A.J.1    Nowak, E.R.2    Tchakenko, A.J.3
  • 194
    • 0034226163 scopus 로고    scopus 로고
    • The jamming transition of granular media
    • Coniglio, A. And Nicodemi, M. 2000. The jamming transition of granular media. J. Phys. C 12 6601-6610.
    • (2000) J. Phys , vol.12 , pp. 6601-6610
    • Coniglio, A.1    Nicodemi, M.2
  • 195
    • 0032487960 scopus 로고    scopus 로고
    • Jamming is not just cool anymore
    • Liu, A. J. And Nagel, S. R. 1998. Jamming is not just cool anymore. Nature 396 21-22.
    • (1998) Nature , vol.396 , pp. 21-22
    • Liu, A.J.1    Nagel, S.R.2
  • 196
    • 84927072943 scopus 로고    scopus 로고
    • Spin-models of granular compaction: From One-Dimensional models to random graphs
    • Mehta, Anita and Halsey, T. C. (Singapore: World Scientific)
    • Berg, J. And Mehta, Anita 2003. Spin-models of granular compaction: From One-Dimensional models to random graphs. In Challenges in Granular Physics, ed. Mehta, Anita and Halsey, T. C. (Singapore: World Scientific).
    • (2003) Challenges in Granular Physics
    • Berg, J.1    Anita, M.2
  • 197
    • 0001514464 scopus 로고    scopus 로고
    • Spatial correlations in compressible granular flows
    • Van Noije, T. P. C., Ernst, M. H., and Brito, R. 1998. Spatial correlations in compressible granular flows. Phys. Rev. E 57 R4891-R4894.
    • (1998) Phys. Rev , vol.57 , pp. 4891-4894
    • Van Noije, T.P.C.1    Ernst, M.H.2    Brito, R.3
  • 199
    • 0000195213 scopus 로고    scopus 로고
    • Rapid granular flows as mesoscopic systems
    • Tan, M.-L. And Goldhirsch, I. 1998. Rapid granular flows as mesoscopic systems. Phys. Rev. Lett. 81(14) 3022-3025.
    • (1998) Phys. Rev. Lett , vol.81 , Issue.14 , pp. 3022-3025
    • Tan, M.-L.1    Goldhirsch, I.2
  • 200
    • 0002843730 scopus 로고
    • Inelastic collapse in two dimensions
    • McNamara, S. And Young, W. R. 1994. Inelastic collapse in two dimensions. Phys. Rev. E50(1) 28-31.
    • (1994) Phys. Rev , vol.50 , Issue.1 , pp. 28-31
    • Mc Namara, S.1    Young, W.R.2
  • 201
    • 0001230431 scopus 로고    scopus 로고
    • Model kinetic equation for low density granular flow
    • Brey, J. J., Moreno, F., and Dufty, J. W. 1996. Model kinetic equation for low density granular flow. Phys. Rev. E54(1) 445-456.
    • (1996) Phys. Rev , vol.54 , Issue.1 , pp. 445-456
    • Brey, J.J.1    Moreno, F.2    Dufty, J.W.3
  • 202
    • 0031094743 scopus 로고    scopus 로고
    • Entropy of particle packings: An illustration on a toy model
    • Monasson, R. And Pouliquen, O. 1997. Entropy of particle packings: An illustration on a toy model. Physica A 236 395-410.
    • (1997) Physica , vol.236 , pp. 395-410
    • Monasson, R.1    Pouliquen, O.2
  • 203
    • 13244275080 scopus 로고    scopus 로고
    • Interacting black holes on the brane: The seeding of binaries
    • Majumdar, A. S., Mehta, Anita, and Luck, J. M. 2005. Interacting black holes on the brane: The seeding of binaries. Phys. Lett. B 607 219-224.
    • (2005) Phys. Lett , vol.607 , pp. 219-224
    • Majumdar, A.S.1    Anita, M.2    Luck, J.M.3
  • 204
    • 17744377759 scopus 로고    scopus 로고
    • A deterministic model of competitive cluster growth: Glassy dynamics, metastability and pattern formation
    • Luck, J. M. And Mehta, Anita 2005. A deterministic model of competitive cluster growth: Glassy dynamics, metastability and pattern formation. European Phys. J. B 44 79-92.
    • (2005) European Phys. J , vol.44 , pp. 79-92
    • Luck, J.M.1    Anita, M.2
  • 205
    • 84857593805 scopus 로고    scopus 로고
    • Experiments in randomly agitated granular assemblies close to the jamming transition
    • Coniglio, A., Fierro, A., Herrmann, H. J., and Nicodemi, M. (Amsterdam: Elsevier)
    • Caballero, G., Lindner, A., Ovarlez, G., Reydellet, G., Lanuza, J., and Clement, E. 2004. Experiments in randomly agitated granular assemblies close to the jamming transition. In Unifying Concepts in Granular Media and Glasses, ed. Coniglio, A., Fierro, A., Herrmann, H. J., and Nicodemi, M. (Amsterdam: Elsevier) 77-87.
    • (2004) Unifying Concepts in Granular Media and Glasses , pp. 77-87
    • Caballero, G.1    Lindner, A.2    Ovarlez, G.3    Reydellet, G.4    Lanuza, J.5    Clement, E.6
  • 207
    • 0000239476 scopus 로고
    • Cellular automaton fluids: Basic theory
    • Wolfram, S. 1986. Cellular automaton fluids: Basic theory. J. Stat. Phys. 45 471-526.
    • (1986) J. Stat. Phys , vol.45 , pp. 471-526
    • Wolfram, S.1
  • 208
    • 0039065374 scopus 로고
    • Self-organized criticality in computer models of settling powders
    • Snyder, R. E. And Ball, R. C. 1994. Self-organized criticality in computer models of settling powders. Phys. Rev. E49 104-109.
    • (1994) Phys. Rev , vol.49 , pp. 104-109
    • Snyder, R.E.1    Ball, R.C.2
  • 209
    • 84927029621 scopus 로고    scopus 로고
    • Smoothing of sandpiles after avalanche propagation
    • Lal, M., Mashelkar, R. A., Kulkarni, B. D., and Naik, V. M. (London: Imperial College Press and the Royal Society)
    • Mehta, Anita 1999. Smoothing of sandpiles after avalanche propagation. In Structure and Dynamics of Materials in the Mesoscopic Domain, eds. Lal, M., Mashelkar, R. A., Kulkarni, B. D., and Naik, V. M. (London: Imperial College Press and the Royal Society), 340-352.
    • (1999) Structure and Dynamics of Materials in the Mesoscopic Domain , pp. 340-352
    • Anita, M.1
  • 211
    • 0039115926 scopus 로고
    • Growth and aggregation far from equilibrium
    • Godreche, C. (Cambridge: Cambridge University Press)
    • Sander, L. 1991. Growth and aggregation far from equilibrium. In Solids far from Equilibrium, ed. Godreche, C. (Cambridge: Cambridge University Press).
    • (1991) Solids far from Equilibrium
    • Sander, L.1
  • 212
    • 0001040381 scopus 로고    scopus 로고
    • Universality in sandpiles, interface depinning, and earthquake models
    • Paczuski, M. And Boettcher, S. 1996. Universality in sandpiles, interface depinning, and earthquake models. Phys. Rev. Lett. 77 111-114.
    • (1996) Phys. Rev. Lett , vol.77 , pp. 111-114
    • Paczuski, M.1    Boettcher, S.2
  • 213
    • 11544332758 scopus 로고
    • Avalanches, hydrodynamics, and discharge events in models of sandpiles
    • Hwa, T. And Kardar, M. 1992. Avalanches, hydrodynamics, and discharge events in models of sandpiles. Phys. Rev. A 45 7002-7023.
    • (1992) Phys. Rev , vol.45 , pp. 7002-7023
    • Hwa, T.1    Kardar, M.2
  • 214
    • 3543014842 scopus 로고
    • Mechanical model of an earthquake fault
    • Carlson, J. M. And Langer, J. S. 1989. Mechanical model of an earthquake fault. Phys. Rev. A 40 6470-6484.
    • (1989) Phys. Rev , vol.40 , pp. 6470-6484
    • Carlson, J.M.1    Langer, J.S.2
  • 215
    • 4344628662 scopus 로고
    • Statistical properties of the cellular-automaton model for earthquakes
    • Nakanishi, H. 1991. Statistical properties of the cellular-automaton model for earthquakes. Phys. Rev. A43 6613-6621.
    • (1991) Phys. Rev , vol.43 , pp. 6613-6621
    • Nakanishi, H.1
  • 216
    • 0039079768 scopus 로고
    • Lattice models of failure: Sensitivity to the local dynamics
    • Gabrielov, A., Newman, W. I., and Knopoff, L. 1994. Lattice models of failure: Sensitivity to the local dynamics. Phys. Rev. E 50 188-197.
    • (1994) Phys. Rev , vol.50 , pp. 188-197
    • Gabrielov, A.1    Newman, W.I.2    Knopoff, L.3
  • 217
    • 0000423546 scopus 로고
    • Periodicity and chaos in a one-dimensional dynamical model of earthquakes
    • Xu, H. J. And Knopoff, L. 1994. Periodicity and chaos in a one-dimensional dynamical model of earthquakes. Phys. Rev. E 50 3577-3581.
    • (1994) Phys. Rev , vol.50 , pp. 3577-3581
    • Xu, H.J.1    Knopoff, L.2
  • 218
    • 85032405018 scopus 로고    scopus 로고
    • Private communication
    • Nagel, S. R., private communication.
    • Nagel, S.R.1
  • 221
    • 0000094507 scopus 로고    scopus 로고
    • Surface flows of granular materials: A modified picture for thick avalanches
    • Boutreux, Th., Raphael, E., and de Gennes, P. G. 1998. Surface flows of granular materials: A modified picture for thick avalanches. Phys. Rev. E 58 4692-4700.
    • (1998) Phys. Rev , vol.58 , pp. 4692-4700
    • Boutreux, T.1    Raphael, E.2    De Gennes, P.G.3
  • 222
    • 0032614720 scopus 로고    scopus 로고
    • Thick surface flows of granular materials: Effect of the velocity proflle on the avalanche amplitude
    • Aradian, A., Raphael, E., and de Gennes, P. G. 1999. Thick surface flows of granular materials: Effect of the velocity proflle on the avalanche amplitude Phys. Rev. E 60 2009-2019.
    • (1999) Phys. Rev , vol.60 , pp. 2009-2019
    • Aradian, A.1    Raphael, E.2    De Gennes, P.G.3
  • 223
    • 0034212438 scopus 로고    scopus 로고
    • Tapping of granular packs: A model based on local two-level systems
    • De Gennes, P. G. 2000. Tapping of granular packs: A model based on local two-level systems. J. Coll. Int. Sci. 226 1-4.
    • (2000) J. Coll. Int. Sci , vol.226 , pp. 1-4
    • De Gennes, P.G.1
  • 224
    • 0001258346 scopus 로고    scopus 로고
    • Two-species continuum model for Aeolian sand ripples
    • Hoyle, R. B. And Mehta, Anita 1999. Two-species continuum model for Aeolian sand ripples. Phys. Rev. Lett. 83 5170-5173.
    • (1999) Phys. Rev. Lett , vol.83 , pp. 5170-5173
    • Hoyle, R.B.1    Anita, M.2
  • 226
    • 0001610876 scopus 로고
    • Flow of granular material through a circular orifice
    • Franklin, F. C. And Johanson, L. N. 1955. Flow of granular material through a circular orifice. Chem. Eng. Sci. 4 119-129.
    • (1955) Chem. Eng. Sci , vol.4 , pp. 119-129
    • Franklin, F.C.1    Johanson, L.N.2
  • 227
    • 0031069606 scopus 로고    scopus 로고
    • Noisy nonlinear coupled equations-some new insights
    • Mehta, Anita Bhattacharjee, J. K., and Luck, J. M. 1996. Noisy nonlinear coupled equations-some new insights. Pramana, 48 749-758.
    • (1996) Pramana , vol.48 , pp. 749-758
    • Anita, M.1    Bhattacharjee, J.K.2    Luck, J.M.3
  • 228
    • 0035379520 scopus 로고    scopus 로고
    • Anomalous aging phenomena caused by drift velocities
    • Luck, J. M. And Mehta, Anita 2001. Anomalous aging phenomena caused by drift velocities. Europhys Lett. 54 573-580.
    • (2001) Europhys Lett , vol.54 , pp. 573-580
    • Luck, J.M.1    Anita, M.2
  • 229
    • 0012575045 scopus 로고
    • Kinetic roughening, stochastic growth, directed polymers and all that
    • Halpin-Healy, T. And Zhang, Y. C. 1995. Kinetic roughening, stochastic growth, directed polymers and all that. Phys. Rep. 254 215-415.
    • (1995) Phys. Rep , vol.254 , pp. 215-415
    • Halpin-Healy, T.1    Zhang, Y.C.2
  • 230
    • 0001074933 scopus 로고
    • The statistical dynamics of homogeneous turbulence
    • Edwards, S. F. 1964. The statistical dynamics of homogeneous turbulence. J. Fluid Mech. 18 239-273.
    • (1964) J. Fluid Mech , vol.18 , pp. 239-273
    • Edwards, S.F.1
  • 233
    • 0033602584 scopus 로고    scopus 로고
    • Aeolian features and processes at the Mars Pathflnder landing site
    • Greeley, R., Kraft, M., Sullivan, R., et al. 1999. Aeolian features and processes at the Mars Pathflnder landing site. J. Geophys. Res. 104 8573-8584.
    • (1999) J. Geophys. Res , vol.104 , pp. 8573-8584
    • Greeley, R.1    Kraft, M.2    Sullivan, R.3
  • 234
    • 0027796914 scopus 로고
    • Grain size segregation and stratigraphy in Aeolian ripples modelled with a cellular automaton
    • Anderson, R. S. And Bunas, K. L. 1993. Grain size segregation and stratigraphy in Aeolian ripples modelled with a cellular automaton. Nature 365 740-743.
    • (1993) Nature , vol.365 , pp. 740-743
    • Anderson, R.S.1    Bunas, K.L.2
  • 235
    • 0000710885 scopus 로고
    • Wind ripples
    • Sharp, R. P. 1963. Wind ripples. J. Geol. 71 617-636.
    • (1963) J. Geol , vol.71 , pp. 617-636
    • Sharp, R.P.1
  • 237
    • 0021784509 scopus 로고
    • A kinematic model for the structure of lee-side deposits
    • Hunter, R. E. 1985. A kinematic model for the structure of lee-side deposits. Sedimentology 32 409-422.
    • (1985) Sedimentology , vol.32 , pp. 409-422
    • Hunter, R.E.1
  • 238
    • 0024249071 scopus 로고
    • The pattern of grainfall deposition in the lee of aeolian dunes
    • Anderson, R. S. 1988. The pattern of grainfall deposition in the lee of aeolian dunes. Sedimentology 35 175-188.
    • (1988) Sedimentology , vol.35 , pp. 175-188
    • Anderson, R.S.1
  • 239
    • 0025625167 scopus 로고
    • Aeolian ripples as examples of self-organization in geomorphological systems
    • Anderson, R. S. 1990. Aeolian ripples as examples of self-organization in geomorphological systems. Earth-Sci.Rev. 29 77-96.
    • (1990) Earth-Sci. Rev , vol.29 , pp. 77-96
    • Anderson, R.S.1
  • 240
    • 0026447370 scopus 로고
    • Mechanics of wind ripple stratigraphy
    • Forrest, S. B. And Haff, P. K. 1992. Mechanics of wind ripple stratigraphy. Science 255 1240-1243.
    • (1992) Science , vol.255 , pp. 1240-1243
    • Forrest, S.B.1    Haff, P.K.2
  • 241
    • 0001276256 scopus 로고
    • Computer simulations of self-organized wind ripple patterns
    • Landry, W. And Werner, B. T. 1994. Computer simulations of self-organized wind ripple patterns. Physica D 77 238-260.
    • (1994) Physica , vol.77 , pp. 238-260
    • Landry, W.1    Werner, B.T.2
  • 242
    • 0000468053 scopus 로고
    • Computational models for sand ripple and sand dune formation
    • Nishimori, H. And Ouchi. N. 1993. Computational models for sand ripple and sand dune formation. Int. J. Modern Physics. B7 2025-2034.
    • (1993) Int. J. Modern Physics , vol.7 , pp. 2025-2034
    • Nishimori, H.1    Ouchi, N.2
  • 243
    • 0000540785 scopus 로고
    • Formation of ripple patterns and dunes by wind-blown sand
    • Nishimori, H. And Ouchi, N. 1993. Formation of ripple patterns and dunes by wind-blown sand. Phys. Rev. Lett. 71 197-200.
    • (1993) Phys. Rev. Lett , vol.71 , pp. 197-200
    • Nishimori, H.1    Ouchi, N.2
  • 244
    • 0346365596 scopus 로고
    • Modeling of wind-blown sand using cellular-automata
    • Ouchi, N. And Nishimori, H. 1995. Modeling of wind-blown sand using cellular-automata. Phys. Rev. E 52 5877-5880.
    • (1995) Phys. Rev , vol.52 , pp. 5877-5880
    • Ouchi, N.1    Nishimori, H.2
  • 245
    • 0001389479 scopus 로고    scopus 로고
    • A simple model for the various pattern dynamics of dunes
    • Nishimori, H., Yamasaki, M., and Andersen, K. H. 1998. A simple model for the various pattern dynamics of dunes. Int. J. Modern Phys. B 12 257-272.
    • (1998) Int. J. Modern Phys , vol.12 , pp. 257-272
    • Nishimori, H.1    Yamasaki, M.2    Andersen, K.H.3
  • 246
    • 0023508847 scopus 로고
    • A theoretical model for aeolian impact ripples
    • Anderson, R. S. 1987. A theoretical model for aeolian impact ripples. Sedimentology 34 943-956.
    • (1987) Sedimentology , vol.34 , pp. 943-956
    • Anderson, R.S.1
  • 247
    • 0000521477 scopus 로고    scopus 로고
    • Analytical model of propagating sand ripples
    • Hoyle, R. B. And Woods, A. W. 1997. Analytical model of propagating sand ripples. Phys. Rev. E 56 6861-6868.
    • (1997) Phys. Rev , vol.56 , pp. 6861-6868
    • Hoyle, R.B.1    Woods, A.W.2
  • 248
    • 0022153019 scopus 로고
    • The grain-bed impact process in Aeolian saltation
    • Mitha, S., Tran, M. Q., Werner, B. T., and Haff, P. K. 1986. The grain-bed impact process in Aeolian saltation. Acta Mechanica 63 267-278.
    • (1986) Acta Mechanica , vol.63 , pp. 267-278
    • Mitha, S.1    Tran, M.Q.2    Werner, B.T.3    Haff, P.K.4
  • 249
    • 0023079139 scopus 로고
    • Steady state saltation in air
    • Ungar, J. And Haff, P. K. 1987. Steady state saltation in air. Sedimentology 34 289-299.
    • (1987) Sedimentology , vol.34 , pp. 289-299
    • Ungar, J.1    Haff, P.K.2
  • 250
    • 9144220381 scopus 로고
    • Compact flnite difference schemes with spectral-like resolution
    • Lele, S. K. 1992. Compact flnite difference schemes with spectral-like resolution. J. Comput. Phys. 103 16-43.
    • (1992) J. Comput. Phys , vol.103 , pp. 16-43
    • Lele, S.K.1
  • 252
    • 18244431248 scopus 로고    scopus 로고
    • Substrate interactions, effects of symmetry breaking, and convection in a 2D horizontally shaken granular system
    • Painter, B. And Behringer, R. P. 2000. Substrate interactions, effects of symmetry breaking, and convection in a 2D horizontally shaken granular system. Phys. Rev. Lett. 85(16) 3396-3399.
    • (2000) Phys. Rev. Lett , vol.85 , Issue.16 , pp. 3396-3399
    • Painter, B.1    Behringer, R.P.2
  • 253
    • 0033196392 scopus 로고    scopus 로고
    • Convection in horizontally vibrated granular material
    • Medved, M., Dawson, D., Jaeger, H. M., and Nagel, S. R. 1999, Convection in horizontally vibrated granular material. Chaos 9(3) 691-648.
    • (1999) Chaos , vol.9 , Issue.3 , pp. 648-691
    • Medved, M.1    Dawson, D.2    Jaeger, H.M.3    Nagel, S.R.4
  • 254
    • 0036273968 scopus 로고    scopus 로고
    • The flow behavior of granular material due to horizontal shaking
    • Hsiau, S. S., Ou, M. Y., and Tai, C. H. 2002. The flow behavior of granular material due to horizontal shaking. Advanced Powder Technology 13(2) 167-180.
    • (2002) Advanced Powder Technology , vol.13 , Issue.2 , pp. 167-180
    • Hsiau, S.S.1    Ou, M.Y.2    Tai, C.H.3
  • 255
    • 0037141544 scopus 로고    scopus 로고
    • Phase separation and coarsening in electrostatically driven granular media
    • Aranson, I. S., Meerson, B., Sasorov, P. V., and Vinokur, V. M. 2002. Phase separation and coarsening in electrostatically driven granular media. Phys. Rev. Lett. 88(20) 204-301.
    • (2002) Phys. Rev. Lett , vol.88 , Issue.20 , pp. 204-301
    • Aranson, I.S.1    Meerson, B.2    Sasorov, P.V.3    Vinokur, V.M.4
  • 256
    • 12044258224 scopus 로고
    • Clustering instability in dissipative gases
    • Goldhirsch, I. And Zanetti, G. 1993. Clustering instability in dissipative gases. Phys. Rev. Lett. 70 1619-1622.
    • (1993) Phys. Rev. Lett , vol.70 , pp. 1619-1622
    • Goldhirsch, I.1    Zanetti, G.2
  • 262
  • 263
    • 0000183253 scopus 로고
    • Statistical mechanics of systems nonlinearly displaced from equilibrium I
    • Refs. Therein
    • Ronis, D. 1979. Statistical mechanics of systems nonlinearly displaced from equilibrium I. Physica A99 403-434, and refs. Therein.
    • (1979) Physica , vol.99 , pp. 403-434
    • Ronis, D.1
  • 264
    • 0000131909 scopus 로고    scopus 로고
    • Green-Kubo relations for granular fluids
    • Goldhirsch, I. And Van Noije, T. P. C. 2000. Green-Kubo relations for granular fluids. Phys. Rev. E61(3) 3241-3244.
    • (2000) Phys. Rev , vol.61 , Issue.3 , pp. 3241-3244
    • Goldhirsch, I.1    Van Noije, T.P.C.2
  • 265
    • 0036388092 scopus 로고    scopus 로고
    • Green-Kubo expressions for a granular gas
    • Dufty, J. W. And Brey, J. J. 2002. Green-Kubo expressions for a granular gas. J. Stat. Phys. 109(3-4) 433-448.
    • (2002) J. Stat. Phys , vol.109 , Issue.3-4 , pp. 433-448
    • Dufty, J.W.1    Brey, J.J.2
  • 266
    • 0035948084 scopus 로고    scopus 로고
    • Longitudinal vortices in granular flows
    • Forterre, Y. And Pouliquen, O. 2001. Longitudinal vortices in granular flows. Phys. Rev. Lett. 86(26) 5886-5889.
    • (2001) Phys. Rev. Lett , vol.86 , Issue.26 , pp. 5886-5889
    • Forterre, Y.1    Pouliquen, O.2
  • 268
    • 0027556839 scopus 로고
    • A molecular dynamical study of granular fluids: The unforced granular gas
    • Goldhirsch, I., Tan M.-L., and Zanetti, G. 1993. A molecular dynamical study of granular fluids: The unforced granular gas, J. Sci. Comp. 8(1) 1-40.
    • (1993) J. Sci. Comp , vol.8 , Issue.1 , pp. 1-40
    • Goldhirsch, I.1    Tan, M.-L.2    Zanetti, G.3
  • 269
    • 0347922060 scopus 로고
    • Inelastic collapse and clumping in a one-dimensional granular medium
    • McNamara, S. And Young, W. R. 1991. Inelastic collapse and clumping in a one-dimensional granular medium. Phys. Fluids. A4(3) 496-504.
    • (1991) Phys. Fluids , vol.4 , Issue.3 , pp. 496-504
    • Mc Namara, S.1    Young, W.R.2
  • 270
    • 0033196129 scopus 로고    scopus 로고
    • Cluster-growth in cooling granular media
    • Luding, S. And Herrmann, H. J. 1999. Cluster-growth in cooling granular media. Chaos 9(3) 673-681.
    • (1999) Chaos , vol.9 , Issue.3 , pp. 673-681
    • Luding, S.1    Herrmann, H.J.2
  • 271
    • 45849155287 scopus 로고    scopus 로고
    • Symmetry breaking and coarsening of clusters in a prototypical driven granular gas
    • E 05030 Eds 1
    • Livne, E., Meerson, B., and Sasorov, P. V. 2002. Symmetry breaking and coarsening of clusters in a prototypical driven granular gas. Phys. Rev. E66(5) 05030eds 1.
    • (2002) Phys. Rev , vol.66 , Issue.5
    • Livne, E.1    Meerson, B.2    Sasorov, P.V.3
  • 274
    • 0030649709 scopus 로고    scopus 로고
    • Quantitative study of a freely cooling granular medium
    • Deltour, P. And Barrat, J.-L. 1997. Quantitative study of a freely cooling granular medium. J. Phys. I. France 7 137-151.
    • (1997) J. Phys. I. France , vol.7 , pp. 137-151
    • Deltour, P.1    Barrat, J.-L.2
  • 275
    • 3042718350 scopus 로고    scopus 로고
    • Origin of density clustering in freely evolving granular gas
    • Brey, J. J., Ruiz-Monterro, M. J., and Cubero, D. 1999. Origin of density clustering in freely evolving granular gas. Phys. Rev. E60(3) 3150-3157.
    • (1999) Phys. Rev , vol.60 , Issue.3 , pp. 3150-3157
    • Brey, J.J.1    Ruiz-Monterro, M.J.2    Cubero, D.3
  • 276
    • 0025957905 scopus 로고
    • Inelastic microstructure in rapid granular flows of smooth disks
    • Hopkins, M. A. And Louge, M. Y. 1991. Inelastic microstructure in rapid granular flows of smooth disks. Phys. Fluids A3(1) 47-57.
    • (1991) Phys. Fluids , vol.3 , Issue.1 , pp. 47-57
    • Hopkins, M.A.1    Louge, M.Y.2
  • 277
    • 0030747526 scopus 로고    scopus 로고
    • Intercluster interactions in rapid granular shear, flows
    • Tan, M.-L. And Goldhirsch, I. 1997. Intercluster interactions in rapid granular shear, flows. Phys. Fluids 9(4) 856-869.
    • (1997) Phys. Fluids , vol.9 , Issue.4 , pp. 856-869
    • Tan, M.-L.1    Goldhirsch, I.2
  • 278
    • 0026806621 scopus 로고
    • Instability of an unbounded uniform granular shear flow
    • Savage, S. B. 1992. Instability of an unbounded uniform granular shear flow. J. Fluid Mech 241 109-123.
    • (1992) J. Fluid Mech , vol.241 , pp. 109-123
    • Savage, S.B.1
  • 279
    • 0027533086 scopus 로고
    • On the stability of rapid granular flows
    • Babic, M. 1993. On the stability of rapid granular flows. J. Fluid Mech 254 127-150.
    • (1993) J. Fluid Mech , vol.254 , pp. 127-150
    • Babic, M.1
  • 280
    • 6044274691 scopus 로고    scopus 로고
    • The effect of boundaries on the plane Couette flow of granular materials: A bifurcation analysis
    • Nott, P. R., Alam, M., Agrawal, K., Jackson, R., and Sundaresan, S. 1999. The effect of boundaries on the plane Couette flow of granular materials: A bifurcation analysis. J. Fluid Mech. 397 202-229.
    • (1999) J. Fluid Mech , vol.397 , pp. 202-229
    • Nott, P.R.1    Alam, M.2    Agrawal, K.3    Jackson, R.4    Sundaresan, S.5
  • 281
    • 0034271217 scopus 로고    scopus 로고
    • Nonlinear analysis of the shearing instability in granular gases
    • Soto, R., Mareschal, M., and Mansour M. M. 2000. Nonlinear analysis of the shearing instability in granular gases. Phys. Rev. E62(3) 3836-3842.
    • (2000) Phys. Rev , vol.62 , Issue.3 , pp. 3836-3842
    • Soto, R.1    Mareschal, M.2    Mansour, M.M.3
  • 282
    • 0001714599 scopus 로고    scopus 로고
    • Cluster formation due to collisions in granular material
    • Kudrolli, A., Wolpert, M., and Gollub, J. P. 1997. Cluster formation due to collisions in granular material. Phys. Rev. Lett. 78(7) 1383-1386.
    • (1997) Phys. Rev. Lett , vol.78 , Issue.7 , pp. 1383-1386
    • Kudrolli, A.1    Wolpert, M.2    Gollub, J.P.3
  • 284
    • 4344600693 scopus 로고    scopus 로고
    • Clustering, order and collapse in a driven granular monolayer
    • Olafsen, J. S. And Urbach, J. S. 1998. Clustering, order and collapse in a driven granular monolayer. Phys. Rev. Lett. 81(20) 4639-4372.
    • (1998) Phys. Rev. Lett , vol.81 , Issue.20 , pp. 4372-4639
    • Olafsen, J.S.1    Urbach, J.S.2
  • 285
    • 33646984327 scopus 로고    scopus 로고
    • Two dimensional granular Poiseuille flow on an incline: Multiple dynamical regimes
    • E 011306
    • Tsai, J. C., Losert, W., Voth, G. A., and Gollub, J. P. 2002. Two dimensional granular Poiseuille flow on an incline: Multiple dynamical regimes. Phys. Rev. E65(1) 011306.
    • (2002) Phys. Rev , vol.65 , Issue.1
    • Tsai, J.C.1    Losert, W.2    Voth, G.A.3    Gollub, J.P.4
  • 286
    • 0000018941 scopus 로고    scopus 로고
    • Patterns of thin vibrated granular layers: Interfaces, hexagons and superoscillons
    • Blair, D. L., Aranson, I. S., Crabtree, G. W., Vinokour, V., Tsimring, L. S., and Joserand, C. 2000. Patterns of thin vibrated granular layers: Interfaces, hexagons and superoscillons. Phys. Rev. E61(5) 5600-5610.
    • (2000) Phys. Rev , vol.61 , Issue.5 , pp. 5600-5610
    • Blair, D.L.1    Aranson, I.S.2    Crabtree, G.W.3    Vinokour, V.4    Tsimring, L.S.5    Joserand, C.6
  • 288
    • 0031097781 scopus 로고    scopus 로고
    • Standing wave patterns in shallow beds of vibrated granular material
    • Metcalf, T. H., Knight, J. B., and Jaeger, H. M. 1997. Standing wave patterns in shallow beds of vibrated granular material. Physica A236(3-4) 202-210.
    • (1997) Physica , vol.236 , Issue.3-4 , pp. 202-210
    • Metcalf, T.H.1    Knight, J.B.2    Jaeger, H.M.3
  • 289
    • 0001080717 scopus 로고    scopus 로고
    • Sand as Maxwell's demon
    • Eggers, J. 1999. Sand as Maxwell's demon. Phys. Rev. Lett. 83(25) 5322-5325.
    • (1999) Phys. Rev. Lett , vol.83 , Issue.25 , pp. 5322-5325
    • Eggers, J.1
  • 291
    • 0035938780 scopus 로고    scopus 로고
    • The influence of clusters on the stress in a sheared granular material
    • Liss, E. D. And Glasser, B. J. 2001. The influence of clusters on the stress in a sheared granular material. Powder Technology 116(2-3) 116-132.
    • (2001) Powder Technology , vol.116 , Issue.2-3 , pp. 116-132
    • Liss, E.D.1    Glasser, B.J.2
  • 292
    • 0035950240 scopus 로고    scopus 로고
    • The role of meso-scale structures in rapid gas-solid flows
    • Agrawal, K., Loezos, P. N., Syamlal, M., and Sundaresan, S. 2001. The role of meso-scale structures in rapid gas-solid flows. J. Fluid Mech. 445 151-185.
    • (2001) J. Fluid Mech , vol.445 , pp. 151-185
    • Agrawal, K.1    Loezos, P.N.2    Syamlal, M.3    Sundaresan, S.4
  • 293
    • 0033248427 scopus 로고    scopus 로고
    • Built upon sand: Theoretical ideas inspired by granular flows
    • Kadanoff, L. P. 1999. Built upon sand: Theoretical ideas inspired by granular flows. Rev. Mod. Phys. 71(1) 435-444.
    • (1999) Rev. Mod. Phys , vol.71 , Issue.1 , pp. 435-444
    • Kadanoff, L.P.1
  • 294
    • 2442418949 scopus 로고    scopus 로고
    • Granular gases with impact-velocity-dependent restitution coefflcient
    • Poschel, T. And Luding, S. eds. (Berlin and new York:) Springer-Verlog
    • Brilliantov, N. V. And Poschel, T. 2000. Granular gases with impact-velocity-dependent restitution coefflcient. In Granular Gases, Poschel, T. and Luding, S. eds., 100-124. (Berlin and new York:) Springer-Verlog.
    • (2000) Granular Gases , pp. 100-124
    • Brilliantov, N.V.1    Poschel, T.2
  • 295
    • 0031676621 scopus 로고    scopus 로고
    • Behavior of one inelastic ball bouncing repeatedly off the ground. 1998
    • Falcon, E., Laroche, C., Fauve, S., and Coste, C. 1998. Behavior of one inelastic ball bouncing repeatedly off the ground. 1998. Euro. Phys. J. B3(1) 45-57.
    • (1998) Euro. Phys. J , vol.3 , Issue.1 , pp. 45-57
    • Falcon, E.1    Laroche, C.2    Fauve, S.3    Coste, C.4
  • 296
    • 0035363066 scopus 로고    scopus 로고
    • Inelastic collapse in simple shear flow of a granular medium
    • E 061308
    • Alam, M. And Hrenya, C. M. 2001. Inelastic collapse in simple shear flow of a granular medium. Phys. Rev. E63(6) 061308.
    • (2001) Phys. Rev , vol.63 , Issue.6
    • Alam, M.1    Hrenya, C.M.2
  • 297
    • 0032278755 scopus 로고    scopus 로고
    • How to handle the inelastic collapse of a dissipative hard-sphere gas with the TC model
    • Luding, S. And McNamara, S. 1998. How to handle the inelastic collapse of a dissipative hard-sphere gas with the TC model. Granular Matter 1(3) 3416-3425.
    • (1998) Granular Matter , vol.1 , Issue.3 , pp. 3416-3425
    • Luding, S.1    Mc Namara, S.2
  • 298
    • 0029105874 scopus 로고
    • Hydrodynamics of a one-dimensional granular medium
    • Sela, N. And Goldhirsch, I. 1995. Hydrodynamics of a one-dimensional granular medium. Phys. Fluids 7(3) 507-525.
    • (1995) Phys. Fluids , vol.7 , Issue.3 , pp. 507-525
    • Sela, N.1    Goldhirsch, I.2
  • 299
    • 0001686317 scopus 로고    scopus 로고
    • Origin of normal stress differences in rapid granular flows
    • Goldhirsch, I. And Sela, N. 1996. Origin of normal stress differences in rapid granular flows Phys. Rev. E 54(4) 4458-4461.
    • (1996) Phys. Rev , vol.54 , Issue.4 , pp. 4458-4461
    • Goldhirsch, I.1    Sela, N.2
  • 300
    • 0009109781 scopus 로고    scopus 로고
    • Kinetic theoretical study of a simply sheared granular gas-to Burnett order
    • Sela, N., Goldhirsch, I., and Noskowicz, S. H. 1996. Kinetic theoretical study of a simply sheared granular gas-to Burnett order. Phys. Fluids. 8(9) 2337-2353.
    • (1996) Phys. Fluids , vol.8 , Issue.9 , pp. 2337-2353
    • Sela, N.1    Goldhirsch, I.2    Noskowicz, S.H.3
  • 301
    • 0032050661 scopus 로고    scopus 로고
    • Hydrodynamic equations for rapid flows of smooth inelastic spheres
    • Sela, N. And Goldhirsch, I. 1998. Hydrodynamic equations for rapid flows of smooth inelastic spheres. J. Fluid Mech. 361 41-74.
    • (1998) J. Fluid Mech , vol.361 , pp. 41-74
    • Sela, N.1    Goldhirsch, I.2
  • 302
    • 0028992020 scopus 로고
    • Mechanics of collisional motion of granular materials, Part I: General hydrodynamic equations
    • Goldshtein, A. And Shapiro, M. 1995. Mechanics of collisional motion of granular materials, Part I: General hydrodynamic equations. J. Fluid Mech. 282 75-114.
    • (1995) J. Fluid Mech , vol.282 , pp. 75-114
    • Goldshtein, A.1    Shapiro, M.2
  • 303
    • 0032185855 scopus 로고    scopus 로고
    • Hydrodynamics for granular flow at low density
    • Brey, J. J., Dufty, J. W., Kim, C. S., and Santos, A. 1998. Hydrodynamics for granular flow at low density. Phys. Rev. E58(4) 4638-4653.
    • (1998) Phys. Rev , vol.58 , Issue.4 , pp. 4638-4653
    • Brey, J.J.1    Dufty, J.W.2    Kim, C.S.3    Santos, A.4
  • 304
  • 305
    • 0035278119 scopus 로고    scopus 로고
    • Grain dynamics in a two dimensional granular flow
    • 031301
    • Horluck, S. And Dimon, P. 2001. Grain dynamics in a two dimensional granular flow. Phys. Rev. E63(3) 031301.
    • (2001) Phys. Rev , vol.63 , Issue.3
    • Horluck, S.1    Dimon, P.2
  • 306
    • 0035311845 scopus 로고    scopus 로고
    • Regularization of the Burnett equations for rapid granular flows via relaxation
    • Jin, S. And Slemrod, M. 2001. Regularization of the Burnett equations for rapid granular flows via relaxation. Physica D150(3-4) 207-218.
    • (2001) Physica , vol.150 , Issue.3-4 , pp. 207-218
    • Jin, S.1    Slemrod, M.2
  • 307
    • 0344004995 scopus 로고    scopus 로고
    • Numerical evidence for divergent Burnett coefflcients
    • Standish, R. K. 1999. Numerical evidence for divergent Burnett coefflcients. Phys. Rev. E60(5) 5175-5178.
    • (1999) Phys. Rev , vol.60 , Issue.5 , pp. 5175-5178
    • Standish, R.K.1
  • 308
    • 33744543834 scopus 로고
    • Nonanalytic dispersion relations for classical fluids
    • Ernst, M. H. And Dorfman, J. R. 1975. Nonanalytic dispersion relations for classical fluids. J. Stat. Phys. 12(4) 311-361.
    • (1975) J. Stat. Phys , vol.12 , Issue.4 , pp. 311-361
    • Ernst, M.H.1    Dorfman, J.R.2
  • 309
    • 0035425302 scopus 로고    scopus 로고
    • Hydrodynamic modes of a sheared granular flow from the Boltzmann and Navier-Stokes equations
    • Kumaran, V. 2001. Hydrodynamic modes of a sheared granular flow from the Boltzmann and Navier-Stokes equations. Phys. Fluids. 13(8) 2258-2268.
    • (2001) Phys. Fluids , vol.13 , Issue.8 , pp. 2258-2268
    • Kumaran, V.1
  • 310
    • 0035070380 scopus 로고    scopus 로고
    • Scale dependence, correlations and fluctuations of stresses in rapid granular flows
    • Glasser, B. J. And Goldhirsch, I. 2001. Scale dependence, correlations and fluctuations of stresses in rapid granular flows. Phys. Fluids 13(2) 407-420.
    • (2001) Phys. Fluids , vol.13 , Issue.2 , pp. 407-420
    • Glasser, B.J.1    Goldhirsch, I.2
  • 311
    • 45849155337 scopus 로고    scopus 로고
    • Nonequilibrium velocity distributions in liquids under shear
    • 066109, And Refs. Therein
    • Croteau, T. And Ronis, D. 2002. Nonequilibrium velocity distributions in liquids under shear. Phys. Rev. E66(6) 066109, and refs. therein.
    • (2002) Phys. Rev , vol.66 , Issue.6
    • Croteau, T.1    Ronis, D.2
  • 312
    • 0035306308 scopus 로고    scopus 로고
    • Statistical Mechanics of fluidized granular media: Short-range velocity correlations
    • 041303
    • Soto, R. And Mareschal, M. 2001. Statistical Mechanics of fluidized granular media: Short-range velocity correlations. Phys. Rev. E63(4) 041303.
    • (2001) Phys. Rev , vol.63 , Issue.4
    • Soto, R.1    Mareschal, M.2
  • 313
    • 0039118351 scopus 로고    scopus 로고
    • On the relevance of ‘molecular chaos’ for granular flows
    • 80 S9-S12
    • Luding, S. 2000. On the relevance of ‘molecular chaos’ for granular flows. ZAMM 80 S9-S12.
    • (2000) ZAMM
    • Luding, S.1
  • 314
    • 84980081651 scopus 로고
    • On the kinetic theory of rarefled gases
    • Grad, H. 1949. On the kinetic theory of rarefled gases, Comm. Pure Appl. Math. 2 331-407.
    • (1949) Comm. Pure Appl. Math , vol.2 , pp. 331-407
    • Grad, H.1
  • 315
    • 0021899363 scopus 로고
    • Grad's 13-moment system for a dense gas of inelastic particles
    • Jenkins, J. T. And Richman, M. W. 1985. Grad's 13-moment system for a dense gas of inelastic particles, Arch. Ration. Mech. Anal. 87 355-377.
    • (1985) Arch. Ration. Mech. Anal , vol.87 , pp. 355-377
    • Jenkins, J.T.1    Richman, M.W.2
  • 316
    • 0034238545 scopus 로고    scopus 로고
    • Hydrodynamic theory for granular gases
    • Ramirez, R., Risso, D., Soto, R., and Cordero, P. 2000. Hydrodynamic theory for granular gases. Phys. Rev. E62(2) 2521-2530.
    • (2000) Phys. Rev , vol.62 , Issue.2 , pp. 2521-2530
    • Ramirez, R.1    Risso, D.2    Soto, R.3    Cordero, P.4
  • 318
    • 0000872238 scopus 로고    scopus 로고
    • Departure from Fourier's law for fluidized granular media
    • Soto, R., Mareschal, M., and Risso, D. 1999. Departure from Fourier's law for fluidized granular media. Phys. Rev. Lett. 83(24) 5003-5006.
    • (1999) Phys. Rev. Lett , vol.83 , Issue.24 , pp. 5003-5006
    • Soto, R.1    Mareschal, M.2    Risso, D.3
  • 319
    • 0021642448 scopus 로고
    • Kinetic theories of granular flow: Inelastic particles in a Couette flow and slightly inelastic particles in a general flow fleld
    • Lun, C. K. K., Savage, S. B., Jeffrey, D. J., and Chepurniy, N. 1984 Kinetic theories of granular flow: Inelastic particles in a Couette flow and slightly inelastic particles in a general flow fleld, J. Fluid Mech. 140 223-256.
    • (1984) J. Fluid Mech , vol.140 , pp. 223-256
    • Lun, C.K.K.1    Savage, S.B.2    Jeffrey, D.J.3    Chepurniy, N.4
  • 320
    • 84974313513 scopus 로고
    • Plane simple shear of smooth inelastic circular disks: The anisotropy of the second moment in the dilute and dense limit
    • Jenkins, J. T. And Richman, M. W. 1988. Plane simple shear of smooth inelastic circular disks: The anisotropy of the second moment in the dilute and dense limit, J. Fluid Mech. 192 313-328.
    • (1988) J. Fluid Mech , vol.192 , pp. 313-328
    • Jenkins, J.T.1    Richman, M.W.2
  • 321
    • 0026392047 scopus 로고
    • Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres
    • Lun, C. K. K. 1991. Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres. J. Fluid Mech. 223 539-559.
    • (1991) J. Fluid Mech , vol.223 , pp. 539-559
    • Lun, C.K.K.1
  • 322
    • 0025546095 scopus 로고
    • A theory for granular materials exhibiting normal stress effects based on Enskog's dense gas theory
    • Boyle, E. J. And Massoudi, M. 1990. A theory for granular materials exhibiting normal stress effects based on Enskog's dense gas theory. Int. J. Eng. Sci. 28 1261-1275.
    • (1990) Int. J. Eng. Sci , vol.28 , pp. 1261-1275
    • Boyle, E.J.1    Massoudi, M.2
  • 323
    • 0035362922 scopus 로고    scopus 로고
    • Hydrodynamics of an open vibrated granular system
    • 061305
    • Brey, J. J., Ruiz-Montero, M. J., and Moreno, F. 2001. Hydrodynamics of an open vibrated granular system. Phys. Rev. E63 061305.
    • (2001) Phys. Rev , vol.63
    • Brey, J.J.1    Ruiz-Montero, M.J.2    Moreno, F.3
  • 324
    • 0026807684 scopus 로고
    • Boundary conditions for rapid granular flow: Flat, frictional walls
    • Jenkins, J. T. 1992. Boundary conditions for rapid granular flow: Flat, frictional walls. J. Appl. Mech. 114 120-127.
    • (1992) J. Appl. Mech , vol.114 , pp. 120-127
    • Jenkins, J.T.1
  • 325
    • 0034295421 scopus 로고    scopus 로고
    • Boundary conditions and normal state for a vibrated granular fluid
    • Brey, J. J., Ruiz-Montero, M. J., and Moreno, F. 2000. Boundary conditions and normal state for a vibrated granular fluid. Phys. Rev. E62(4) 5339-5346.
    • (2000) Phys. Rev , vol.62 , Issue.4 , pp. 5339-5346
    • Brey, J.J.1    Ruiz-Montero, M.J.2    Moreno, F.3
  • 327
    • 0027469248 scopus 로고
    • Part 1. Flat boundaries, asymmetric stresses and couple stresses. 1993
    • 1993
    • Campbell, C. S. 1993. Part 1. Flat boundaries, asymmetric stresses and couple stresses. 1993. J. Fluid Mech. 247 111-136; 1993.
    • (1993) J. Fluid Mech , vol.247 , pp. 111-136
    • Campbell, C.S.1
  • 328
    • 0027441512 scopus 로고
    • Boundary interactions for two-dimensional granular flows. Part 2. Roughened boundaries
    • Campbell, C. S. 1993.Boundary interactions for two-dimensional granular flows. Part 2. Roughened boundaries. J. Fluid Mech. 247 137-156.
    • (1993) J. Fluid Mech , vol.247 , pp. 137-156
    • Campbell, C.S.1
  • 329
    • 0042218785 scopus 로고
    • Approximate method in kinetic theory
    • Loyalka, S. K. 1971. Approximate method in kinetic theory. Phys. Rev. E 14(11) 2291-2294.
    • (1971) Phys. Rev , vol.14 , Issue.11 , pp. 2291-2294
    • Loyalka, S.K.1
  • 330
    • 0012802897 scopus 로고
    • Slightly rarefled gas flow over a specularly reflecting body
    • Sone, Y. And Aoki, K. 1977. Slightly rarefled gas flow over a specularly reflecting body. Phys. Fluids 20(4) 571-576.
    • (1977) Phys. Fluids , vol.20 , Issue.4 , pp. 571-576
    • Sone, Y.1    Aoki, K.2
  • 331
    • 0033196588 scopus 로고    scopus 로고
    • Scales and kinetics of granular flows
    • Goldhirsch, I. 1999. Scales and kinetics of granular flows. CHAOS 9(3) 659-672.
    • (1999) CHAOS , vol.9 , Issue.3 , pp. 659-672
    • Goldhirsch, I.1
  • 332
    • 0000595262 scopus 로고
    • Solution of the Boltzmann-Hilbert integral equation
    • [315] Pekeris, C. L. 1955 Solution of the Boltzmann-Hilbert integral equation, Proc. N. A. S. 41 661-664.
    • (1955) Proc. N. A. S , vol.41 , pp. 661-664
    • Pekeris, C.L.1
  • 333
    • 0023314860 scopus 로고
    • Frictional-collisional constitutive relations for granular materials with applications to plane shearing
    • Johnson, P. C. And Jackson, R. 1987. Frictional-collisional constitutive relations for granular materials with applications to plane shearing. J. Fluid Mech. 176 67-93.
    • (1987) J. Fluid Mech , vol.176 , pp. 67-93
    • Johnson, P.C.1    Jackson, R.2
  • 334
    • 0027675961 scopus 로고
    • Analysis of rapid shear flows of granular materials by a kinetic model including frictional losses
    • Abu-Zaid, S. And Ahmadi, G. 1993. Analysis of rapid shear flows of granular materials by a kinetic model including frictional losses. Powder Tech. 77(1) 7-17.
    • (1993) Powder Tech , vol.77 , Issue.1 , pp. 7-17
    • Abu-Zaid, S.1    Ahmadi, G.2
  • 335
    • 0033742016 scopus 로고    scopus 로고
    • Mean fleld theory for a driven granular gas of frictional particles
    • Caflero, R. And Luding, S. 2000. Mean fleld theory for a driven granular gas of frictional particles. Physica A280(1-2) 142-147.
    • (2000) Physica , vol.280 , Issue.1-2 , pp. 142-147
    • Caflero, R.1    Luding, S.2
  • 336
    • 42749108338 scopus 로고    scopus 로고
    • Role of friction in pattern formation in oscillated granular layers
    • 031301
    • Moon, S. J., Swift, J. B., and Swinney, H. L. 2004. Role of friction in pattern formation in oscillated granular layers. Phys. Rev. E 69(3) 031301.
    • (2004) Phys. Rev , vol.69 , Issue.3
    • Moon, S.J.1    Swift, J.B.2    Swinney, H.L.3
  • 337
    • 0001070246 scopus 로고    scopus 로고
    • Friction in granular layers: Hysteresis and precursors
    • Nasuno, S., Kudrolli, A., and Gollub, J. P. 1997. Friction in granular layers: Hysteresis and precursors. Phys. Rev. Lett. 79 949-952.
    • (1997) Phys. Rev. Lett , vol.79 , pp. 949-952
    • Nasuno, S.1    Kudrolli, A.2    Gollub, J.P.3
  • 338
    • 0001386809 scopus 로고    scopus 로고
    • Homogeneous cooling of rough, dissipative particles: Theory and simulations
    • Luding, S., Huthmann, M., McNamara, S., and Zippelius, A. 1998. Homogeneous cooling of rough, dissipative particles: Theory and simulations. Phys. Rev. E58 3416-3425.
    • (1998) Phys. Rev , vol.58 , pp. 3416-3425
    • Luding, S.1    Huthmann, M.2    Mc Namara, S.3    Zippelius, A.4
  • 339
    • 0000365265 scopus 로고    scopus 로고
    • Dynamics of inelastically colliding rough spheres: Relaxation of translational and rotational energy
    • Huthmann, M. And Zippelius, A. 1998. Dynamics of inelastically colliding rough spheres: Relaxation of translational and rotational energy. Phys. Rev. E56(6) R6275-R6278.
    • (1998) Phys. Rev , vol.56 , Issue.6 , pp. 6275-6278
    • Huthmann, M.1    Zippelius, A.2
  • 340
    • 0034366837 scopus 로고    scopus 로고
    • Dynamics of inelastically colliding spheres with Coulomb friction: Relaxation of translational and rotational energy
    • Herbst, O., Huthmann, M., and Zippelius, A. 2000. Dynamics of inelastically colliding spheres with Coulomb friction: Relaxation of translational and rotational energy. Granular Matter 2(4) 211-219.
    • (2000) Granular Matter , vol.2 , Issue.4 , pp. 211-219
    • Herbst, O.1    Huthmann, M.2    Zippelius, A.3
  • 341
    • 0000209370 scopus 로고
    • Granular materials under vibration: Simulations of rotating spheres
    • Luding, S. 1995. Granular materials under vibration: Simulations of rotating spheres. Phys. Rev. E52(4) 4442-4457.
    • (1995) Phys. Rev , vol.52 , Issue.4 , pp. 4442-4457
    • Luding, S.1
  • 342
    • 0001122756 scopus 로고    scopus 로고
    • Energy nonequipartition in systems of inelastic rough spheres
    • McNamara, S. And Luding, S. 1998. Energy nonequipartition in systems of inelastic rough spheres. Phys. Rev. E58 2247-2250.
    • (1998) Phys. Rev , vol.58 , pp. 2247-2250
    • Mc Namara, S.1    Luding, S.2
  • 343
    • 0001142863 scopus 로고
    • Kinetic theory for plane flows of a dense gas of identical, rough, inelastic circular disks
    • Jenkins, J. T. And Richman, M. W. 1985. Kinetic theory for plane flows of a dense gas of identical, rough, inelastic circular disks. Phys. Fluids 28 3485-3494.
    • (1985) Phys. Fluids , vol.28 , pp. 3485-3494
    • Jenkins, J.T.1    Richman, M.W.2
  • 344
    • 84983709074 scopus 로고
    • A simple kinetic theory for the flow of rough, inelastic spherical particles
    • Lun, C. K. K. And Savage, S. B. 1987. A simple kinetic theory for the flow of rough, inelastic spherical particles. J. Appl. Mech. 54(1) 47-53.
    • (1987) J. Appl. Mech , vol.54 , Issue.1 , pp. 47-53
    • Lun, C.K.K.1    Savage, S.B.2
  • 345
    • 0036504172 scopus 로고    scopus 로고
    • Kinetic theory for identical, frictional, nearly elastic spheres
    • Jenkins, J. T. And Zhang, C. 2002. Kinetic theory for identical, frictional, nearly elastic spheres. Phys. Fluids 14(3) 1228-1235.
    • (2002) Phys. Fluids , vol.14 , Issue.3 , pp. 1228-1235
    • Jenkins, J.T.1    Zhang, C.2
  • 346
    • 0006196346 scopus 로고
    • The kinetic theory of dense polyatomic fluids
    • Dahler, J. S. And Theodosopulu, M. 1975. The kinetic theory of dense polyatomic fluids. Adv. Chem. Phys. 31 155-229.
    • (1975) Adv. Chem. Phys , vol.31 , pp. 155-229
    • Dahler, J.S.1    Theodosopulu, M.2
  • 347
    • 21044435236 scopus 로고
    • The collisional dynamics of particles in the Saturn rings
    • Shukhman, I. G. 1984. The collisional dynamics of particles in the Saturn rings. Astronomicheskii Journal (Russian) 61(5) 985-1004.
    • (1984) Astronomicheskii Journal Russian , vol.61 , Issue.5 , pp. 985-1004
    • Shukhman, I.G.1
  • 348
    • 0000120064 scopus 로고    scopus 로고
    • The dynamics of particle disks 2. Effects of spin degrees of freedom
    • Araki, S. 1998. The dynamics of particle disks 2. Effects of spin degrees of freedom. Icarus 76(1) 182-198.
    • (1998) Icarus , vol.76 , Issue.1 , pp. 182-198
    • Araki, S.1
  • 349
    • 0037193010 scopus 로고    scopus 로고
    • Collisional granular flow as a micropolar fluid
    • Hayakawa, H., Mitarai, N., and Nakanishi, H. 2002. Collisional granular flow as a micropolar fluid. Phys. Rev. Lett. 88(17) 174-301.
    • (2002) Phys. Rev. Lett , vol.88 , Issue.17 , pp. 174-301
    • Hayakawa, H.1    Mitarai, N.2    Nakanishi, H.3
  • 350
    • 0031511792 scopus 로고    scopus 로고
    • Patterns and long range correlations in idealized granular flows
    • Orza, J. A. G., Brito, R., van, Noije, T. P. C., and Ernst, M. H. 1997. Patterns and long range correlations in idealized granular flows. Int. J. Mod. Phys. C. 8(4) 953-965.
    • (1997) Int. J. Mod. Phys. C , vol.8 , Issue.4 , pp. 953-965
    • Orza, J.A.G.1    Brito, R.2    Van Noije, T.P.C.3    Ernst, M.H.4
  • 352
    • 0001684224 scopus 로고    scopus 로고
    • Cahn-Hilliard theory for unstable granular fluids
    • Van Noije, T. P. C. And Ernst, M. H. 2000. Cahn-Hilliard theory for unstable granular fluids. Phys. Rev. E61(2) 1765-1782.
    • (2000) Phys. Rev , vol.61 , Issue.2 , pp. 1765-1782
    • Van Noije, T.P.C.1    Ernst, M.H.2
  • 353
    • 0035305595 scopus 로고    scopus 로고
    • Pattern selection in extended periodically forced systems: A contiuum coupled map approach
    • 046202
    • Venkataramani, S. C. And Ott, E. 2001. Pattern selection in extended periodically forced systems: A contiuum coupled map approach. Phys. Rev. E63(4) 046202.
    • (2001) Phys. Rev , vol.63 , Issue.4
    • Venkataramani, S.C.1    Ott, E.2
  • 354
    • 41349101285 scopus 로고    scopus 로고
    • Granular shear flow dynamics and forces: Experiment and continuum theory
    • 011307
    • Bocquet, L., Losert, W., Schalk, D., Lubensky, T. C., and Gollub, J. P. 2002. Granular shear flow dynamics and forces: Experiment and continuum theory. Phys. Rev. E65(1) 011307.
    • (2002) Phys. Rev , vol.65 , Issue.1
    • Bocquet, L.1    Losert, W.2    Schalk, D.3    Lubensky, T.C.4    Gollub, J.P.5
  • 355
    • 84983701980 scopus 로고    scopus 로고
    • Nonlinear hydrodynamical approach to granular materials
    • 031303
    • Hill, S. A. And Mazenko, G. F. 2001. Nonlinear hydrodynamical approach to granular materials. Phys. Rev. E63 031303.
    • (2001) Phys. Rev , vol.63
    • Hill, S.A.1    Mazenko, G.F.2
  • 356
    • 0031124428 scopus 로고    scopus 로고
    • Towards granular hydrodynamics in two dimensions
    • Grossman, E. L., Zhou, T., and Ben Naim, E. 1997. Towards granular hydrodynamics in two dimensions. Phys. Rev. E55(4) 4200-4206.
    • (1997) Phys. Rev , vol.55 , Issue.4 , pp. 4200-4206
    • Grossman, E.L.1    Zhou, T.2    Ben Naim, E.3
  • 357
    • 0032023001 scopus 로고    scopus 로고
    • Ring kinetic theory for an idealized granular gas
    • Van Noije, T. P. C., Ernst, M. H., and Brito, R. 1998. Ring kinetic theory for an idealized granular gas. Physica A251(1-2) 266-283.
    • (1998) Physica , vol.251 , Issue.1-2 , pp. 266-283
    • Van Noije, T.P.C.1    Ernst, M.H.2    Brito, R.3
  • 358
    • 0035363185 scopus 로고    scopus 로고
    • Model for the atomic-scale structure of the homogeneous cooling state of granular fluids
    • 061211
    • Lutsko, J. F. 2001. Model for the atomic-scale structure of the homogeneous cooling state of granular fluids. Phys. Rev. E63(6) 061211.
    • (2001) Phys. Rev , vol.63 , Issue.6
    • Lutsko, J.F.1
  • 359
    • 0344005000 scopus 로고    scopus 로고
    • Granular gases: Probing the boundaries of hydrodynamics
    • T. Poschel, and S. Luding, eds., Lecture Notes in Physics (Berlin: Springer-Verlag)
    • Goldhirsch, I. 1999. Granular gases: Probing the boundaries of hydrodynamics. In Granular Gases, T. Poschel, and S. Luding, eds., Lecture Notes in Physics (Berlin: Springer-Verlag).
    • (1999) Granular Gases
    • Goldhirsch, I.1
  • 360
    • 0000365265 scopus 로고    scopus 로고
    • Dynamics of inelastically colliding rough spheres: Relaxation of translational and rotational energy
    • Huthmann, M. And Zippelius, A. 1997. Dynamics of inelastically colliding rough spheres: Relaxation of translational and rotational energy. Phys. Rev. E56(6) R6275-R6278.
    • (1997) Phys. Rev , vol.56 , Issue.6 , pp. 6275-6278
    • Huthmann, M.1    Zippelius, A.2
  • 361
    • 0009109785 scopus 로고    scopus 로고
    • Test of the equipartition principle for granular spheres in a saw-tooth shaker
    • Knight, T. A. And Woodcock, L. V. 1996. Test of the equipartition principle for granular spheres in a saw-tooth shaker. J. Phys. A 29(15) 4365-4386.
    • (1996) J. Phys , vol.29 , Issue.15 , pp. 4365-4386
    • Knight, T.A.1    Woodcock, L.V.2
  • 362
    • 0034298124 scopus 로고    scopus 로고
    • Velocity fluctuations in a homogeneous 2D granular gas in steady state
    • Rouyer, F. And Menon, N. Velocity fluctuations in a homogeneous 2D granular gas in steady state. Phys. Rev. Lett. 85(17) 3676-3679.
    • Phys. Rev. Lett , vol.85 , Issue.17 , pp. 3676-3679
    • Rouyer, F.1    Menon, N.2
  • 364
    • 0029673416 scopus 로고    scopus 로고
    • The single particle distribution function for rapid granular shear flows of smooth inelastic disks
    • Goldhirsch, I. And Tan, M.-L. 1996. The single particle distribution function for rapid granular shear flows of smooth inelastic disks. Phys. Fluids 8(7) 1752-1763.
    • (1996) Phys. Fluids , vol.8 , Issue.7 , pp. 1752-1763
    • Goldhirsch, I.1    Tan, M.-L.2
  • 365
    • 0032340997 scopus 로고    scopus 로고
    • Velocity distribution in homogeneous granular fluids: The free and the heated case
    • Van Noije, T. P. C. And Ernst, M. H. 1998. Velocity distribution in homogeneous granular fluids: The free and the heated case. Granular Matter 1 57-64.
    • (1998) Granular Matter , vol.1 , pp. 57-64
    • Van Noije, T.P.C.1    Ernst, M.H.2
  • 366
    • 0036538463 scopus 로고    scopus 로고
    • Hydrodynamics for a granular binary mixture at low density
    • Garzo, V. And Dufty, J. W. 2002. Hydrodynamics for a granular binary mixture at low density. Phys. Fluids. 14(4) 1476-1490.
    • (2002) Phys. Fluids , vol.14 , Issue.4 , pp. 1476-1490
    • Garzo, V.1    Dufty, J.W.2
  • 367
    • 0000818093 scopus 로고
    • Simulation of rotating drum experiments using noncircular particles
    • Buchholtz, V., Poschel, T., and Tillemans, H. J. 1995. Simulation of rotating drum experiments using noncircular particles. Physica A216(3) 199-212.
    • (1995) Physica , vol.216 , Issue.3 , pp. 199-212
    • Buchholtz, V.1    Poschel, T.2    Tillemans, H.J.3
  • 368
    • 0001463823 scopus 로고
    • Molecular dynamics of arbitrarily shaped granular particles
    • Poschel, T. And Buchholtz, V. 1995. Molecular dynamics of arbitrarily shaped granular particles. J. de Phys. I 5(11) 1431-1455.
    • (1995) J. De Phys. I , vol.5 , Issue.11 , pp. 1431-1455
    • Poschel, T.1    Buchholtz, V.2
  • 369
    • 0026103040 scopus 로고
    • Boundary conditions for rapid granular flows: Phase interfaces
    • Jenkins, J. T. And Askari, E. 1991. Boundary conditions for rapid granular flows: Phase interfaces. J. Fluid Mech. 223 497-508.
    • (1991) J. Fluid Mech , vol.223 , pp. 497-508
    • Jenkins, J.T.1    Askari, E.2
  • 372
    • 77954619336 scopus 로고    scopus 로고
    • Stress transmission and isostatic states of non-rigid particulate systems
    • IMA Volume in Mathematics and its Applications, 141 eds. Maria-Carme, T. Calderer and Eugene, M. Terentjev (New York: Springer-Verlag)
    • Blumenfeld, R. 2005. Stress transmission and isostatic states of non-rigid particulate systems. In Modeling of Soft Matter, IMA Volume in Mathematics and its Applications, 141 eds. Maria-Carme, T. Calderer and Eugene, M. Terentjev (New York: Springer-Verlag).
    • (2005) Modeling of Soft Matter
    • Blumenfeld, R.1
  • 373
    • 0039232843 scopus 로고
    • The distribution of pressure on surface supporting a mass of granular material
    • Hummel, F. H. And Finnan, E. J. 1921. The distribution of pressure on surface supporting a mass of granular material, Proc. Inst. Civil Eng. 212 369-392.
    • (1921) Proc. Inst. Civil Eng , vol.212 , pp. 369-392
    • Hummel, F.H.1    Finnan, E.J.2
  • 374
    • 0007809011 scopus 로고
    • On the bottom pressure distribution of the bulk material piled with the angle of repose
    • Jotaki, T. And Moriyama, R. 1979. On the bottom pressure distribution of the bulk material piled with the angle of repose. J. Soc. Powder Technol. Jpn. 16 184-191.
    • (1979) J. Soc. Powder Technol. Jpn , vol.16 , pp. 184-191
    • Jotaki, T.1    Moriyama, R.2
  • 379
    • 30244467529 scopus 로고
    • Classical transport in disordered media: Scaling and effective-medium theories
    • Kirkpatrick, S. 1971. Classical transport in disordered media: Scaling and effective-medium theories. Phys. Rev. Lett. 27 1722-1725.
    • (1971) Phys. Rev. Lett , vol.27 , pp. 1722-1725
    • Kirkpatrick, S.1
  • 380
    • 33749560184 scopus 로고
    • Percolation and conduction
    • Kirkpatrick, S. 1973. Percolation and conduction. Rev. Mod. Phys. 45 574-588.
    • (1973) Rev. Mod. Phys , vol.45 , pp. 574-588
    • Kirkpatrick, S.1
  • 382
    • 45349112330 scopus 로고
    • The transmission of stress in an aggregate
    • Edwards, S. F. And Oakeshott, R. B. 1989. The transmission of stress in an aggregate. Physica D 38 88-92.
    • (1989) Physica , vol.38 , pp. 88-92
    • Edwards, S.F.1    Oakeshott, R.B.2
  • 383
    • 42149088788 scopus 로고
    • The mathematics of powders
    • Edwards, S. F. 1989. The mathematics of powders. IMA Bulletin 25 94-96.
    • (1989) IMA Bulletin , vol.25 , pp. 94-96
    • Edwards, S.F.1
  • 384
    • 45149145391 scopus 로고
    • Theory of powders
    • Edwards, S. F. And Oakeshott, R. B. 1989. Theory of powders Physica A 157 1080-1090.
    • (1989) Physica , vol.157 , pp. 1080-1090
    • Edwards, S.F.1    Oakeshott, R.B.2
  • 385
    • 0035828703 scopus 로고    scopus 로고
    • The tensorial formulation of volume function for packings of particles
    • Edwards, S. F. And Grinev, D. V. 2001. The tensorial formulation of volume function for packings of particles. Chem. Eng. Sci. 56 5451-5455.
    • (2001) Chem. Eng. Sci , vol.56 , pp. 5451-5455
    • Edwards, S.F.1    Grinev, D.V.2
  • 386
    • 0037033982 scopus 로고    scopus 로고
    • Testing the thermodynamic approach to granular matter with a numerical model of a decisive experiment
    • Makse, H. A. And Kurchan, J. 2002. Testing the thermodynamic approach to granular matter with a numerical model of a decisive experiment. Nature 415 614-616.
    • (2002) Nature , vol.415 , pp. 614-616
    • Makse, H.A.1    Kurchan, J.2
  • 388
    • 0036727132 scopus 로고    scopus 로고
    • Equilibrium distribution of the inherent states and their dynamics in glassy systems and granular media
    • Fierro, A., Nicodemi, M. And Coniglio, A. 2002. Equilibrium distribution of the inherent states and their dynamics in glassy systems and granular media. Europhys. Lett. 59 642-647.
    • (2002) Europhys. Lett , vol.59 , pp. 642-647
    • Fierro, A.1    Nicodemi, M.2    Coniglio, A.3
  • 391
    • 0037128843 scopus 로고    scopus 로고
    • Stress fleld in granular systems: Loop forces and potential formulation
    • 115505-115508
    • Ball, R. C. And Blumenfeld, R. 2002. Stress fleld in granular systems: Loop forces and potential formulation. Phys. Rev. Lett. 88 115505-115508.
    • (2002) Phys. Rev. Lett , vol.88
    • Ball, R.C.1    Blumenfeld, R.2
  • 392
    • 0038643226 scopus 로고    scopus 로고
    • Granular entropy: Explicit calculations for planar assemblies
    • 114303-114306
    • Blumenfeld, R. And Edwards, S. F. 2003. Granular entropy: Explicit calculations for planar assemblies. Phys. Rev. Lett. 90 114303-114306.
    • (2003) Phys. Rev. Lett , vol.90
    • Blumenfeld, R.1    Edwards, S.F.2
  • 393
    • 32044460125 scopus 로고    scopus 로고
    • Geometric partition functions of cellular systems: Explicit calculation of the entropy in two and three dimensions
    • [364a] Blumenfeld, R. And Edwards, S. F. (2006). Geometric partition functions of cellular systems: Explicit calculation of the entropy in two and three dimensions, Eur. Phys. J. E 19 23-30.
    • (2006) Eur. Phys. J , vol.19 , pp. 23-30
    • Blumenfeld, R.1    Edwards, S.F.2
  • 395
    • 84928662673 scopus 로고
    • Soap, cells and statistics-random patterns in 2 dimensions
    • Weaire, D. And Rivier, N. 1984. Soap, cells and statistics-random patterns in 2 dimensions. Contemp. Phys. 25 59-99.
    • (1984) Contemp. Phys , vol.25 , pp. 59-99
    • Weaire, D.1    Rivier, N.2
  • 396
    • 0001766634 scopus 로고
    • On reciprocal flgures and diagrams of forces
    • Maxwell, J. C. 1864. On reciprocal flgures and diagrams of forces, Phil. Mag., Ser. 4, 27 250-261.
    • (1864) Phil. Mag , vol.4 , Issue.27 , pp. 250-261
    • Maxwell, J.C.1
  • 397
    • 84958469724 scopus 로고
    • On reciprocal diagrams, frames and diagrams of forces
    • Maxwell, J. C. 1869. On reciprocal diagrams, frames and diagrams of forces, Trans. Roy. Soc. Edinb. 26 1-40.
    • (1869) Trans. Roy. Soc. Edinb , vol.26 , pp. 1-40
    • Maxwell, J.C.1
  • 399
    • 18344364001 scopus 로고    scopus 로고
    • Statistical mechanics of stress transmission in disordered granular arrays
    • Edwards, S. F. And Grinev, D. V. 1999. Statistical mechanics of stress transmission in disordered granular arrays Phys. Rev. Lett. 82 5397-5400.
    • (1999) Phys. Rev. Lett , vol.82 , pp. 5397-5400
    • Edwards, S.F.1    Grinev, D.V.2
  • 400
    • 0001479586 scopus 로고    scopus 로고
    • Statistical mechanics of vibration-induced compaction of powders
    • Edwards, S. F. And Grinev, D. V. (1998). Statistical mechanics of vibration-induced compaction of powders, Phys. Rev. E 58, 4758-4762.
    • (1998) Phys. Rev , vol.58 , pp. 4758-4762
    • Edwards, S.F.1    Grinev, D.V.2
  • 401
    • 0035828703 scopus 로고    scopus 로고
    • The tensorial formulation of volume function for packings of particles
    • Edwards, S. F. And Grinev, D. V. (2001). The tensorial formulation of volume function for packings of particles, Chem. Eng. Sci., 56, 5451-5455.
    • (2001) Chem. Eng. Sci , vol.56 , pp. 5451-5455
    • Edwards, S.F.1    Grinev, D.V.2
  • 402
    • 0003182395 scopus 로고    scopus 로고
    • A theoretical model for the stress distribution in granular matter: I, II, III
    • Edwards, S. F. And Mounfleld, C. C. 1996. A theoretical model for the stress distribution in granular matter: I, II, III Physica A 226 1-33
    • (1996) Physica , vol.226 , pp. 1-33
    • Edwards, S.F.1    Mounfleld, C.C.2
  • 403
    • 0029330201 scopus 로고
    • Stress distribution in granular media and nonlinear wave equation
    • Bouchaud, J.-P., Cates, M. E., and Claudin, P. J. 1995. Stress distribution in granular media and nonlinear wave equation J. Phys. I 5 639-656.
    • (1995) J. Phys. I , vol.5 , pp. 639-656
    • Bouchaud, J.-P.1    Cates, M.E.2    Claudin, P.J.3
  • 404
    • 0141888217 scopus 로고    scopus 로고
    • From plasticity to a renormalisation group
    • Ball, R. C. And Blumenfeld, R. 2003. From plasticity to a renormalisation group. Phil. Trans. R. Soc. Lond. 360 731-740.
    • (2003) Phil. Trans. R. Soc. Lond , vol.360 , pp. 731-740
    • Ball, R.C.1    Blumenfeld, R.2
  • 405
    • 1642617454 scopus 로고    scopus 로고
    • Stress in planar cellular solids and isostatic granular assemblies: Coarse-graining the constitutive equation
    • Blumenfeld, R. 2004. Stress in planar cellular solids and isostatic granular assemblies: Coarse-graining the constitutive equation. Physica A 336 361-368.
    • (2004) Physica , vol.336 , pp. 361-368
    • Blumenfeld, R.1
  • 406
    • 18344389360 scopus 로고    scopus 로고
    • Stresses in granular systems and emergence of force chains
    • 108301-108304
    • Blumenfeld, R. 2004. Stresses in granular systems and emergence of force chains. Phys. Rev. Lett. 93 108301-108304.
    • (2004) Phys. Rev. Lett , vol.93
    • Blumenfeld, R.1
  • 407
    • 0343287483 scopus 로고
    • Photoelastic method for determination of stress in powdered mass
    • Wakabayashi, T. 1957. Photoelastic method for determination of stress in powdered mass. Proc. 7th Jpn. Nat. Cong. Appl. Mech., 153.
    • (1957) Proc. 7th Jpn. Nat. Cong. Appl. Mech , vol.153
    • Wakabayashi, T.1
  • 408
    • 0000996649 scopus 로고
    • Contribution a l'etude mecanique et geometrique des milieux pulverulents
    • Dantu, P. 1957. Contribution a l'etude mecanique et geometrique des milieux pulverulents. Proc. 4th Int. Conf. Soil Mech. And Found. Eng., 144.
    • (1957) Proc. 4th Int. Conf. Soil Mech. And Found. Eng , vol.144
    • Dantu, P.1
  • 409
    • 0012607248 scopus 로고    scopus 로고
    • Fluctuations and dynamics for a two-dimensional sheared granular material
    • Behringer, R. P. And Jenkins, J. T. (Rotterdam: Balkema)
    • Howell, D. And Behringer, R. P. 1997. Fluctuations and dynamics for a two-dimensional sheared granular material. In Powders and Grains 97, eds. Behringer, R. P. and Jenkins, J. T. (Rotterdam: Balkema), 337.
    • (1997) Powders and Grains 97 , pp. 337
    • Howell, D.1    Behringer, R.P.2
  • 410
    • 0022150811 scopus 로고
    • Computer generation of a model to simulate granular material behaviour
    • Bagster, D. F. And Kirk, R. 1985. Computer generation of a model to simulate granular material behaviour, J. Powder Bulk Solids Technol. 1 19.
    • (1985) J. Powder Bulk Solids Technol , vol.1 , Issue.19
    • Bagster, D.F.1    Kirk, R.2
  • 411
    • 84956212051 scopus 로고
    • The pathological behavior of sheared hard spheres with hydrodynamic interactions
    • Melrose, J. R. And Ball, R. C. 1995. The pathological behavior of sheared hard spheres with hydrodynamic interactions. Europhys. Lett. 32 535.
    • (1995) Europhys. Lett , vol.32 , pp. 535
    • Melrose, J.R.1    Ball, R.C.2
  • 412
    • 77952920219 scopus 로고    scopus 로고
    • Force transmission in granular media
    • Thornton, C. 1997. Force transmission in granular media. Kona Powder and Particle 15 81.
    • (1997) Kona Powder and Particle , vol.15 , pp. 81
    • Thornton, C.1
  • 413
    • 0000280912 scopus 로고    scopus 로고
    • Memories in sand: Experimental tests of construction history on stress distributions under sandpiles
    • Vanel, L., Howell, D., Clark, D., Behringer, R. P. And Clement, E. 1999. Memories in sand: Experimental tests of construction history on stress distributions under sandpiles. Phys. Rev. E 60 R5040.
    • (1999) Phys. Rev , vol.60 , pp. 5040
    • Vanel, L.1    Howell, D.2    Clark, D.3    Behringer, R.P.4    Clement, E.5
  • 414
    • 0026947335 scopus 로고
    • Force distribution in a two dimensional sandpile
    • Liffman, K. Chan, D. Y. And Hughes, B. D. 1992. Force distribution in a two dimensional sandpile. Powder Technol. 72 225.
    • (1992) Powder Technol , vol.72 , pp. 225
    • Liffman, K.1    Chan, D.Y.2    Hughes, B.D.3
  • 416
    • 21044454286 scopus 로고    scopus 로고
    • Granular matter and the mariginally rigid state
    • Blumenfeld, R., Edwards, S. F. And Ball, R. C. 2005. Granular matter and the mariginally rigid state. J. Phys.: Cond. Mat. 17 S2481-S2487.
    • (2005) J. Phys.: Cond. Mat , vol.17 , pp. 2481-2487
    • Blumenfeld, R.1    Edwards, S.F.2    Ball, R.C.3
  • 417
    • 0031571019 scopus 로고    scopus 로고
    • Force distribution in frictionless granular packings at rigidity threshold
    • Ouaguenoui, S. And Roux, J.-N. 1997. Force distribution in frictionless granular packings at rigidity threshold, Europhys. Lett. 39 117-122.
    • (1997) Europhys. Lett , vol.39 , pp. 117-122
    • Ouaguenoui, S.1    Roux, J.-N.2
  • 418
    • 17744364480 scopus 로고    scopus 로고
    • Evolution of force distribution in three-dimensional granular media
    • 011302
    • Antony, S. J. 2001. Evolution of force distribution in three-dimensional granular media. Phys. Rev. E 63 011302.
    • (2001) Phys. Rev , vol.63
    • Antony, S.J.1
  • 419
    • 21044454428 scopus 로고    scopus 로고
    • Sensitivity of the stress response function to packing preparation
    • Atman, A. P. F., Brunet, P., Geng, J., et al. 2005. Sensitivity of the stress response function to packing preparation. J. Phys. Condens. Matter 17 S2391.
    • (2005) J. Phys. Condens. Matter , vol.17 , pp. 2391
    • Atman, A.P.F.1    Brunet, P.2    Geng, J.3
  • 420
    • 18344375134 scopus 로고    scopus 로고
    • From the stress response function (back) to the sandpile dip
    • Atman, A. P. F., Brunet, P., Geng, J., et al. 2005. From the stress response function (back) to the sandpile ‘dip’. Eur. Phys. J. E 17 93.
    • (2005) Eur. Phys. J , vol.17 , pp. 93
    • Atman, A.P.F.1    Brunet, P.2    Geng, J.3
  • 421
    • 0030110482 scopus 로고    scopus 로고
    • Stress and strain in granular assemblies
    • Bagi, K. 1996. Stress and strain in granular assemblies. Mechanics of Materials 22 165.
    • (1996) Mechanics of Materials , vol.22 , pp. 165
    • Bagi, K.1
  • 422
    • 0038376085 scopus 로고    scopus 로고
    • Statistical analysis of contact force components in random granular assemblies
    • Bagi, K. 2003. Statistical analysis of contact force components in random granular assemblies. Granular Matter 5 45.
    • (2003) Granular Matter , vol.5 , pp. 45
    • Bagi, K.1
  • 423
    • 0023983474 scopus 로고
    • Micromechanical aspects of isotropic granular assemblies with linear contact interactions
    • Bathurst, R. J. And Rothenburg, L. 1988. Micromechanical aspects of isotropic granular assemblies with linear contact interactions. J. Appl. Mech. 55 17.
    • (1988) J. Appl. Mech , vol.55 , pp. 17
    • Bathurst, R.J.1    Rothenburg, L.2
  • 424
    • 0008635162 scopus 로고    scopus 로고
    • Force distributions in three-dimensional granular assemblies: Effects of packing order and interparticle friction
    • 041304
    • Blair, D. L., Mueggenburg, N. W., Marshall, A. H., Jaeger, H. M., and Nagel, S. R. 2001. Force distributions in three-dimensional granular assemblies: Effects of packing order and interparticle friction. Phys. Rev. E 63 041304.
    • (2001) Phys. Rev , vol.63
    • Blair, D.L.1    Mueggenburg, N.W.2    Marshall, A.H.3    Jaeger, H.M.4    Nagel, S.R.5
  • 425
    • 18744405768 scopus 로고    scopus 로고
    • Stress response function of a two-dimensional ordered packing of frictional beads
    • Breton, L., Claudin, P., Clement, E., and Zucker, J. D. 2002. Stress response function of a two-dimensional ordered packing of frictional beads. Europhys. Lett. 60 813.
    • (2002) Europhys. Lett , vol.60 , pp. 813
    • Breton, L.1    Claudin, P.2    Clement, E.3    Zucker, J.D.4
  • 426
    • 0031244842 scopus 로고    scopus 로고
    • Contact force distribution beneath a three dimensional granular pile
    • Brockbank, R., Huntley, J. M., and Ball, R. C. 1997. Contact force distribution beneath a three dimensional granular pile. J. Phys. (France) II 7 1521.
    • (1997) J. Phys. (France) II , vol.7 , pp. 1521
    • Brockbank, R.1    Huntley, J.M.2    Ball, R.C.3
  • 427
    • 0031117527 scopus 로고    scopus 로고
    • Experimental micromechanical analysis of a 2D granular material: Relation between structure evolution and loading path
    • Calvetti, F., Combe, G., and Lanier, J. 1997. Experimental micromechanical analysis of a 2D granular material: Relation between structure evolution and loading path. Mech. Coh. Frict. Materials 2 121.
    • (1997) Mech. Coh. Frict. Materials , vol.2 , pp. 121
    • Calvetti, F.1    Combe, G.2    Lanier, J.3
  • 429
    • 0034319852 scopus 로고    scopus 로고
    • Change of scale in granular materials
    • A/Solids
    • Cambou, B., Chaze, M., and Dedecker, F. 2000. Change of scale in granular materials. Eur. J. Mech. A/Solids 19 999.
    • (2000) Eur. J. Mech , vol.19 , pp. 999
    • Cambou, B.1    Chaze, M.2    Dedecker, F.3
  • 431
    • 0000756605 scopus 로고
    • Estimates of elastic modulus for media of randomly packed granules
    • Chang, C. S. And Liao, C. L. 1994. Estimates of elastic modulus for media of randomly packed granules. Appl. Mech. Rev. 1 S197.
    • (1994) Appl. Mech. Rev , vol.1 , pp. 197
    • Chang, C.S.1    Liao, C.L.2
  • 432
  • 433
    • 0000921716 scopus 로고    scopus 로고
    • Static avalanches and giant stress fluctuations in silos
    • Claudin, P. And Bouchaud, J. P. 1997. Static avalanches and giant stress fluctuations in silos. Phys. Rev. Lett. 78 231.
    • (1997) Phys. Rev. Lett , vol.78 , pp. 231
    • Claudin, P.1    Bouchaud, J.P.2
  • 435
    • 0034295796 scopus 로고    scopus 로고
    • Strain versus stress in a model granular material: A devil's staircase
    • Combe, C. And Roux, J. N. 2000. Strain versus stress in a model granular material: A devil's staircase. Phys. Rev. Lett. 85 3628.
    • (2000) Phys. Rev. Lett , vol.85 , pp. 3628
    • Combe, C.1    Roux, J.N.2
  • 437
    • 1942499464 scopus 로고    scopus 로고
    • Strain localization in sand: An overview of the experimental results obtained in Grenoble using stereophotogrammetry
    • Desrues, J. And Viggiani, G. 2004. Strain localization in sand: An overview of the experimental results obtained in Grenoble using stereophotogrammetry. Int. J. Numer. Anal. Meth. Geomech. 28 279.
    • (2004) Int. J. Numer. Anal. Meth. Geomech , vol.28 , pp. 279
    • Desrues, J.1    Viggiani, G.2
  • 438
  • 439
    • 0015416976 scopus 로고
    • Photoelastic verification of a mechanical model for the flow of a granular material
    • Drescher, A. And de Josselin de Jong, G., 1972. Photoelastic verification of a mechanical model for the flow of a granular material. J. Mech. Phys. Solids 20 337.
    • (1972) J. Mech. Phys. Solids , vol.20 , pp. 337
    • Drescher, A.1    De Josselin De Jong, G.2
  • 440
    • 0035894682 scopus 로고    scopus 로고
    • Transmission of stress in granular materials as a problem in statistical mechanics
    • Edwards, S. F. And Grinev, D. V. 2001. Transmission of stress in granular materials as a problem in statistical mechanics. Physica A 302 162.
    • (2001) Physica , vol.302 , pp. 162
    • Edwards, S.F.1    Grinev, D.V.2
  • 441
    • 0031379729 scopus 로고    scopus 로고
    • Stochastic aspects of the force network in a regular granular piling
    • Eloy, C. And Clement, E. 1997. Stochastic aspects of the force network in a regular granular piling. J. Phys. I (France) 7 1541.
    • (1997) J. Phys. I France , vol.7 , pp. 1541
    • Eloy, C.1    Clement, E.2
  • 442
    • 11544250757 scopus 로고    scopus 로고
    • Dynamics of viscoplastic deformations in amorphous solids
    • Falk, M. L. And Langer, J. S. 1998. Dynamics of viscoplastic deformations in amorphous solids. Phys. Rev. E 57 7192.
    • (1998) Phys. Rev , vol.57 , pp. 7192
    • Falk, M.L.1    Langer, J.S.2
  • 443
    • 0003709624 scopus 로고
    • Englewood Cliffs, New Jersey: Prentice-Hall, Inc
    • Fung, Y. C. 1965 Foundations of solid mechanics (Englewood Cliffs, New Jersey: Prentice-Hall, Inc.).
    • (1965) Foundations of solid mechanics
    • Fung, Y.C.1
  • 444
    • 5644244641 scopus 로고    scopus 로고
    • Anisotropic elastic theory of preloaded granular media
    • Gay, C. And da Silveira, R. A. 2004. Anisotropic elastic theory of preloaded granular media. Europhys. Lett. 68 51.
    • (2004) Europhys. Lett , vol.68 , pp. 51
    • Gay, C.1    Da Silveira, R.A.2
  • 445
    • 0035898705 scopus 로고    scopus 로고
    • Footprints in sand: The response of a granular material to local perturbations
    • 035506
    • Geng, J., Howell, D. W., Longhi, E., et al. 2001. Footprints in sand: The response of a granular material to local perturbations. Phys. Rev. Lett. 87 035506.
    • (2001) Phys. Rev. Lett , vol.87
    • Geng, J.1    Howell, D.W.2    Longhi, E.3
  • 446
  • 447
    • 0041529980 scopus 로고    scopus 로고
    • Green's function measurements of force transmission in 2D granular materials
    • Geng, J., Reydellet, G., Clement, E., and Behringer, R. P. 2003. Green's function measurements of force transmission in 2D granular materials. Physica D 182 274.
    • (2003) Physica , vol.182 , pp. 274
    • Geng, J.1    Reydellet, G.2    Clement, E.3    Behringer, R.P.4
  • 448
    • 0037135915 scopus 로고    scopus 로고
    • Force chains, microelasticity and macroelasticity
    • 084302
    • Goldenberg, C. And Goldhirsch, I. 2002. Force chains, microelasticity and macroelasticity. Phys. Rev. Lett. 89 084302.
    • (2002) Phys. Rev. Lett , vol.89
    • Goldenberg, C.1    Goldhirsch, I.2
  • 449
    • 0036876831 scopus 로고    scopus 로고
    • On the microscopic foundations of elasticity
    • Goldenberg, C. And Goldhirsch, I. 2002. On the microscopic foundations of elasticity. Eur. Phys. J. E9 245.
    • (2002) Eur. Phys. J , vol.9 , pp. 245
    • Goldenberg, C.1    Goldhirsch, I.2
  • 450
    • 9944240306 scopus 로고    scopus 로고
    • Small and large scale granular statics
    • Goldenberg, C. And Goldhirsch, I. 2004. Small and large scale granular statics. Granular Matter 6 87.
    • (2004) Granular Matter , vol.6 , pp. 87
    • Goldenberg, C.1    Goldhirsch, I.2
  • 451
    • 18844438652 scopus 로고    scopus 로고
    • Friction enhances elasticity in granular solids
    • Goldenberg, C. And Goldhirsch, I. 2005. Friction enhances elasticity in granular solids. Nature 485 188.
    • (2005) Nature , vol.485 , pp. 188
    • Goldenberg, C.1    Goldhirsch, I.2
  • 452
    • 0035463696 scopus 로고    scopus 로고
    • Robust propagation direction of stresses in a minimal granular packing
    • Head, D. A., Tkachenko, A. V., and Witten, T. A. 2001. Robust propagation direction of stresses in a minimal granular packing. Eur. Phys. J. E6 99.
    • (2001) Eur. Phys. J , vol.6 , pp. 99
    • Head, D.A.1    Tkachenko, A.V.2    Witten, T.A.3
  • 453
    • 0030404874 scopus 로고    scopus 로고
    • Elastic properties of soils
    • Hicher, P. Y. 1996. Elastic properties of soils. J. Geotech. Engrg. 122 641.
    • (1996) J. Geotech. Engrg , vol.122 , pp. 641
    • Hicher, P.Y.1
  • 454
    • 18344372651 scopus 로고    scopus 로고
    • Stress fluctuations in a 2D granular Couette experiment: A continuous transition
    • Howell, D. W., Behringer, R. P., and Veje, C. 1999. Stress fluctuations in a 2D granular Couette experiment: A continuous transition. Phys. Rev. Lett. 82 5241.
    • (1999) Phys. Rev. Lett , vol.82 , pp. 5241
    • Howell, D.W.1    Behringer, R.P.2    Veje, C.3
  • 455
    • 0033196620 scopus 로고    scopus 로고
    • Fluctuations in granular media
    • Howell, D. W., Behringer, R. P., and Veje, C. 1999. Fluctuations in granular media. Chaos 9 559.
    • (1999) Chaos , vol.9 , pp. 559
    • Howell, D.W.1    Behringer, R.P.2    Veje, C.3
  • 456
    • 85040956871 scopus 로고
    • Cambridge: Cambridge University Press
    • Johnson, K. L. 1985. Contact Mechanics (Cambridge: Cambridge University Press).
    • (1985) Contact Mechanics
    • Johnson, K.L.1
  • 457
    • 0037084914 scopus 로고    scopus 로고
    • Probability density functions of contact forces for cohesionless frictional granular materials
    • Kruyt, N. P. And Rothenburg, L. 2002. Probability density functions of contact forces for cohesionless frictional granular materials. Int. J. Solids and Structures 39 571.
    • (2002) Int. J. Solids and Structures , vol.39 , pp. 571
    • Kruyt, N.P.1    Rothenburg, L.2
  • 458
    • 0035966312 scopus 로고    scopus 로고
    • Micromechanical bounds for the effective elastic moduli of granular materials
    • Kruyt, N. P. And Rothenburg, L. 2002. Micromechanical bounds for the effective elastic moduli of granular materials. Int. J. Solids and Structures 39 311.
    • (2002) Int. J. Solids and Structures , vol.39 , pp. 311
    • Kruyt, N.P.1    Rothenburg, L.2
  • 459
    • 0037308260 scopus 로고    scopus 로고
    • Statics and kinematics of discrete Cosserat-type granular materials
    • Kruyt, N. P. 2003. Statics and kinematics of discrete Cosserat-type granular materials. Int. J. Solids and Structures 40 511.
    • (2003) Int. J. Solids and Structures , vol.40 , pp. 511
    • Kruyt, N.P.1
  • 460
    • 0037644871 scopus 로고    scopus 로고
    • Contact forces in anisotropic frictional granular materials
    • Kruyt, N. P. 2003. Contact forces in anisotropic frictional granular materials. Int. J. Solids and Structures 40 3537.
    • (2003) Int. J. Solids and Structures , vol.40 , pp. 3537
    • Kruyt, N.P.1
  • 461
    • 42749106285 scopus 로고    scopus 로고
    • Reorganization of a dense granular assembly: The ‘unjamming response function’
    • 031306
    • Kolb, E., Cviklinski, J., Lanuza, J., Claudin, P., and Clement, E. 2004. Reorganization of a dense granular assembly: The ‘unjamming response function’. Phys. Rev. E 69 031306.
    • (2004) Phys. Rev , vol.69
    • Kolb, E.1    Cviklinski, J.2    Lanuza, J.3    Claudin, P.4    Clement, E.5
  • 463
    • 0037831122 scopus 로고    scopus 로고
    • Conflned granular packings: Structure, stress and forces
    • 041303
    • Landry, J. W., Grest, G. S., Silbert, L. E., and Plimpton, S. J. 2003. Conflned granular packings: Structure, stress and forces. Phys. Rev. E 67 041303.
    • (2003) Phys. Rev , vol.67
    • Landry, J.W.1    Grest, G.S.2    Silbert, L.E.3    Plimpton, S.J.4
  • 464
    • 0037026128 scopus 로고    scopus 로고
    • Origin of a repose angle: Kinetics of rearrangement for granular materials
    • 064303
    • Lemaitre, A. 2002. Origin of a repose angle: Kinetics of rearrangement for granular materials. Phys. Rev. Lett. 89 064303.
    • (2002) Phys. Rev. Lett , vol.89
    • Lemaitre, A.1
  • 465
    • 0011300472 scopus 로고
    • An investigation into the behaviour of sand in a model silo
    • Lenczner, D. 1963. An investigation into the behaviour of sand in a model silo. Structural Engineer 41 389.
    • (1963) Structural Engineer , vol.41 , pp. 389
    • Lenczner, D.1
  • 466
    • 42749102531 scopus 로고    scopus 로고
    • Continuum limit of amorphous elastic bodies II: Linear response to a point source force
    • 014203
    • Leomforte, F., Tanguy, A., Wittmer, J. P., and Barrat, J. L. 2004. Continuum limit of amorphous elastic bodies II: Linear response to a point source force. Phys. Rev. B 70 014203.
    • (2004) Phys. Rev , vol.70
    • Leomforte, F.1    Tanguy, A.2    Wittmer, J.P.3    Barrat, J.L.4
  • 468
    • 0000639277 scopus 로고    scopus 로고
    • Force measurements on static granular materials
    • Lovoll, G., Mloy, K. J., and Flekkoy, E. G. 1999. Force measurements on static granular materials. Phys. Rev. E 60 5872.
    • (1999) Phys. Rev , vol.60 , pp. 5872
    • Lovoll, G.1    Mloy, K.J.2    Flekkoy, E.G.3
  • 469
    • 0001149485 scopus 로고    scopus 로고
    • Stress distribution in static two-dimensional granular model media in the absence of friction
    • Luding, S. 1997. Stress distribution in static two-dimensional granular model media in the absence of friction. Phys. Rev. E 55 4720.
    • (1997) Phys. Rev , vol.55 , pp. 4720
    • Luding, S.1
  • 470
    • 5444237544 scopus 로고    scopus 로고
    • Micro-macro transition for anisotropic, frictional granular packings
    • Luding, S. 2004. Micro-macro transition for anisotropic, frictional granular packings. Int. J. Sol. Struct. 41 5821.
    • (2004) Int. J. Sol. Struct , vol.41 , pp. 5821
    • Luding, S.1
  • 471
  • 472
    • 37649031013 scopus 로고    scopus 로고
    • Granular packings: Nonlinear elasticity, sound propagation, and collective relaxation dynamics
    • 061302
    • Makse, H. A., Gland, N., Johnson, D. L., and Schwartz, L. M. 2004. Granular packings: Nonlinear elasticity, sound propagation, and collective relaxation dynamics. Phys. Rev. E 70 061302.
    • (2004) Phys. Rev , vol.70
    • Makse, H.A.1    Gland, N.2    Johnson, D.L.3    Schwartz, L.M.4
  • 474
    • 0032327399 scopus 로고    scopus 로고
    • Simulation of the pressure distribution under a two-dimensional heap of polygonal particles
    • Matuttis, H. G. 1998. Simulation of the pressure distribution under a two-dimensional heap of polygonal particles. Granular Matter 1 83.
    • (1998) Granular Matter , vol.1 , pp. 83
    • Matuttis, H.G.1
  • 475
    • 0033446452 scopus 로고    scopus 로고
    • Influence of the geometry on the pressure distribution of granular heaps
    • Matuttis, H. G. And Schinner, A. 1999. Influence of the geometry on the pressure distribution of granular heaps. Granular Matter 1 195.
    • (1999) Granular Matter , vol.1 , pp. 195
    • Matuttis, H.G.1    Schinner, A.2
  • 476
    • 0000703748 scopus 로고    scopus 로고
    • Isostatic phase transition and instability in stiff granular materials
    • Moukarzel, C. F. 1998. Isostatic phase transition and instability in stiff granular materials. Phys. Rev. Lett. 81 1634.
    • (1998) Phys. Rev. Lett , vol.81 , pp. 1634
    • Moukarzel, C.F.1
  • 477
    • 0037061078 scopus 로고    scopus 로고
    • Random multiplicative processes and the response functions of granular packings
    • Moukarzel, C. F. 2002. Random multiplicative processes and the response functions of granular packings. J. Phys. Condens. Matter 14 2379.
    • (2002) J. Phys. Condens. Matter , vol.14 , pp. 2379
    • Moukarzel, C.F.1
  • 479
    • 41349098295 scopus 로고    scopus 로고
    • Stress transmission through three-dimensional ordered granular arrays
    • 031304
    • Mueggenburg, N. W., Jaeger, H. M., and Nagel, S. R. 2002. Stress transmission through three-dimensional ordered granular arrays. Phys. Rev. E 66 031304.
    • (2002) Phys. Rev , vol.66
    • Mueggenburg, N.W.1    Jaeger, H.M.2    Nagel, S.R.3
  • 480
    • 0033076675 scopus 로고    scopus 로고
    • Incipient failure in sandpile models
    • Narayan, O. And Nagel, S. R. 1999. Incipient failure in sandpile models. Physica A 264 75.
    • (1999) Physica , vol.264 , pp. 75
    • Narayan, O.1    Nagel, S.R.2
  • 482
    • 12144271732 scopus 로고    scopus 로고
    • Mechanical analog of temperature for the description of force distribution in static granular packings
    • 011301
    • Ngan, A. H. W. 2003. Mechanical analog of temperature for the description of force distribution in static granular packings. Phys. Rev. E 68 011301.
    • (2003) Phys. Rev , vol.68
    • Ngan, A.H.W.1
  • 483
    • 12144271732 scopus 로고    scopus 로고
    • Mechanical analog of temperature for the description of force distribution in static granular packings
    • 069902
    • Ngan, A. H. W. 2003. Mechanical analog of temperature for the description of force distribution in static granular packings. Phys. Rev. E 68 069902.
    • (2003) Phys. Rev , vol.68
    • Ngan, A.H.W.1
  • 485
    • 0001485205 scopus 로고    scopus 로고
    • Properties of layer-by-layer vector stochastic models of force fluctuations in granular materials
    • Nguyen, M. L. And Coppersmith, S. N. 1999. Properties of layer-by-layer vector stochastic models of force fluctuations in granular materials. Phys. Rev. E 59 5870.
    • (1999) Phys. Rev , vol.59 , pp. 5870
    • Nguyen, M.L.1    Coppersmith, S.N.2
  • 486
    • 0034293986 scopus 로고    scopus 로고
    • Scalar model of inhomogeneous elastic and granular media
    • Nguyen, M. L. And Coppersmith, S. N. 2000. Scalar model of inhomogeneous elastic and granular media. Phys. Rev. E 62 5248.
    • (2000) Phys. Rev , vol.62 , pp. 5248
    • Nguyen, M.L.1    Coppersmith, S.N.2
  • 487
    • 0035124320 scopus 로고    scopus 로고
    • Force distributions near jamming and glass transitions
    • O'Hern, C. S., Langer, S. A., Liu, A. J., and Nagel, S. R. 2001. Force distributions near jamming and glass transitions. Phys. Rev. Lett. 86 111.
    • (2001) Phys. Rev. Lett , vol.86 , pp. 111
    • O'hern, C.S.1    Langer, S.A.2    Liu, A.J.3    Nagel, S.R.4
  • 488
    • 0040417255 scopus 로고    scopus 로고
    • Exact calculation of force networks in granular piles
    • Oron, G. And Herrmann, H. J. 1998. Exact calculation of force networks in granular piles. Phys. Rev. E 58 2079.
    • (1998) Phys. Rev , vol.58 , pp. 2079
    • Oron, G.1    Herrmann, H.J.2
  • 489
    • 21644465449 scopus 로고    scopus 로고
    • Response of a hexagonal granular packing under a localized external force
    • Ostojic, S. And Panja, D. 2005. Response of a hexagonal granular packing under a localized external force. Europhys. Lett. 71 70.
    • (2005) Europhys. Lett , vol.71 , pp. 70
    • Ostojic, S.1    Panja, D.2
  • 490
    • 37649030482 scopus 로고    scopus 로고
    • Anisotropy in granular media: Classical elasticity and directed force chain networks
    • 031302
    • Otto, M., Bouchaud, J. P., Claudin, P., and Socolar, J. E. S. 2003. Anisotropy in granular media: Classical elasticity and directed force chain networks. Phys. Rev. E 67 031302.
    • (2003) Phys. Rev , vol.67
    • Otto, M.1    Bouchaud, J.P.2    Claudin, P.3    Socolar, J.E.S.4
  • 491
    • 18044363647 scopus 로고    scopus 로고
    • Elastic medium conflned in a column versus the Janssen experiment
    • Ovarlez, G. And Clement, E. 2005. Elastic medium conflned in a column versus the Janssen experiment. Eur. Phys. J. E 16 421.
    • (2005) Eur. Phys. J , vol.16 , pp. 421
    • Ovarlez, G.1    Clement, E.2
  • 492
    • 42749100710 scopus 로고    scopus 로고
    • Overshoot effect in the Janssen granular column: A crucial test for granular mechanics
    • 060302(R)
    • Ovarlez, G., Fond, C., and Clement, E. 2003. Overshoot effect in the Janssen granular column: A crucial test for granular mechanics. Phys. Rev. E 67 060302(R).
    • (2003) Phys. Rev , vol.67
    • Ovarlez, G.1    Fond, C.2    Clement, E.3
  • 493
    • 0000319412 scopus 로고    scopus 로고
    • Force distributions in dense two-dimensional granular systems
    • Radjai, F., Jean, M., Moreau, J. J., and Roux, S. 1996. Force distributions in dense two-dimensional granular systems. Phys. Rev. Lett. 77 274.
    • (1996) Phys. Rev. Lett , vol.77 , pp. 274
    • Radjai, F.1    Jean, M.2    Moreau, J.J.3    Roux, S.4
  • 494
    • 0033196586 scopus 로고    scopus 로고
    • Contact forces in a granular packing
    • Radjai, F., Roux, S., and Moreau, J. J. 1999. Contact forces in a granular packing. Chaos 9 544.
    • (1999) Chaos , vol.9 , pp. 544
    • Radjai, F.1    Roux, S.2    Moreau, J.J.3
  • 495
    • 21044440904 scopus 로고    scopus 로고
    • Micro-statistical features of cohesionless granular media
    • Radjai, F., Troadec, H., and Roux, S. 2003. Micro-statistical features of cohesionless granular media. Italian Geotechnical Journal 3 39.
    • (2003) Italian Geotechnical Journal , vol.3 , pp. 39
    • Radjai, F.1    Troadec, H.2    Roux, S.3
  • 496
    • 11744290710 scopus 로고    scopus 로고
    • Bimodal character of stress transmission in granular packings
    • Radjai, F., Wolf, D., Jean, M., and Moreau, J. J. 1998. Bimodal character of stress transmission in granular packings. Phys. Rev. Lett. 80 225.
    • (1998) Phys. Rev. Lett , vol.80 , pp. 225
    • Radjai, F.1    Wolf, D.2    Jean, M.3    Moreau, J.J.4
  • 497
    • 0035831877 scopus 로고    scopus 로고
    • Green's function probe of a static granular piling
    • Reydellet, G. And Clement, E. 2001. Green's function probe of a static granular piling. Phys. Rev. Lett. 86 3308.
    • (2001) Phys. Rev. Lett , vol.86 , pp. 3308
    • Reydellet, G.1    Clement, E.2
  • 499
    • 0034206755 scopus 로고    scopus 로고
    • Geometric origin of mechanical properties of granular materials
    • Roux, J. N. 2000. Geometric origin of mechanical properties of granular materials. Phys. Rev. E 61 6802.
    • (2000) Phys. Rev , vol.61 , pp. 6802
    • Roux, J.N.1
  • 500
    • 0035490741 scopus 로고    scopus 로고
    • Stress response function of a granular layer: Quantitative comparison between experiments and isotropic elasticity
    • Serero, D., Reydellet, G., Claudin, P., Clement, E., and Levine, D. 2001. Stress response function of a granular layer: Quantitative comparison between experiments and isotropic elasticity. Eur. Phys. J. E6 169.
    • (2001) Eur. Phys. J , vol.6 , pp. 169
    • Serero, D.1    Reydellet, G.2    Claudin, P.3    Clement, E.4    Levine, D.5
  • 501
    • 41349096824 scopus 로고    scopus 로고
    • Statistics of the contact network in frictional and frictionless granular packings
    • 061303
    • Silbert, L. E., Grest, G. S., and Landry, J. W. 2002. Statistics of the contact network in frictional and frictionless granular packings. Phys. Rev. E 66 061303.
    • (2002) Phys. Rev , vol.66
    • Silbert, L.E.1    Grest, G.S.2    Landry, J.W.3
  • 502
    • 84927009842 scopus 로고
    • Pressure distribution under heaped bulk solids
    • D3V 1
    • Sfimid, J. And Novosad, J. 1981. Pressure distribution under heaped bulk solids. Ind. Chem. Eng. Symp. 63 D3V 1.
    • (1981) Ind. Chem. Eng. Symp , vol.63
    • Sfimid, J.1    Novosad, J.2
  • 503
    • 37649029559 scopus 로고    scopus 로고
    • Force correlations in the q-model for general q-distributions
    • 051306
    • Snoeijer, J. H. And Van Leeuwen, J. M. J. 2002. Force correlations in the q-model for general q-distributions. Phys. Rev. E 65 051306.
    • (2002) Phys. Rev , vol.65
    • Snoeijer, J.H.1    Van Leeuwen, J.M.J.2
  • 504
    • 37649028586 scopus 로고    scopus 로고
    • Force and weight distributions in granular media: Effects of contact geometry
    • 030302(R)
    • Snoeijer, J. H., Van Hecke, M., Somfai, E., and Van Saarloos, W. 2003. Force and weight distributions in granular media: Effects of contact geometry. Phys. Rev. E 67 030302(R).
    • (2003) Phys. Rev , vol.67
    • Snoeijer, J.H.1    Van Hecke, M.2    Somfai, E.3    Van Saarloos, W.4
  • 505
    • 42749100017 scopus 로고    scopus 로고
    • Packing geometry and statistics of force networks in granular media
    • 011301
    • Snoeijer, J. H., Van Hecke, M., Somfai, E., and Van Saarloos, W. 2004. Packing geometry and statistics of force networks in granular media. Phys. Rev. E 70 011301.
    • (2004) Phys. Rev , vol.70
    • Snoeijer, J.H.1    Van Hecke, M.2    Somfai, E.3    Van Saarloos, W.4
  • 507
    • 0000412175 scopus 로고    scopus 로고
    • Average stresses and force fluctuations in noncohesive granular materials
    • Socolar, J. E. S. 1998. Average stresses and force fluctuations in noncohesive granular materials. Phys. Rev. E 57 3204.
    • (1998) Phys. Rev , vol.57 , pp. 3204
    • Socolar, J.E.S.1
  • 508
    • 0036871473 scopus 로고    scopus 로고
    • Continuum limit of amorphous elastic bodies: A flnite-size study of low-frequency harmonic vibrations
    • 174205
    • Tanguy, A., Wittmer, J. P., Leonforte, F., and Barrat, J. L. 2002. Continuum limit of amorphous elastic bodies: A flnite-size study of low-frequency harmonic vibrations. Phys. Rev. B 66 174205.
    • (2002) Phys. Rev , vol.66
    • Tanguy, A.1    Wittmer, J.P.2    Leonforte, F.3    Barrat, J.L.4
  • 510
    • 3042909672 scopus 로고    scopus 로고
    • Quasi-static deformation of particulate media
    • Thornton, C. And Antony, S. J. 1998. Quasi-static deformation of particulate media. Phil. Trans. R. Soc. Lond. A 356 2763.
    • (1998) Phil. Trans. R. Soc. Lond , vol.356 , pp. 2763
    • Thornton, C.1    Antony, S.J.2
  • 511
    • 21244448076 scopus 로고    scopus 로고
    • Experimental impact of the history of packing on the mean pressure in silos
    • Tixier, M., Pitois, O., and Mills, P. 2004. Experimental impact of the history of packing on the mean pressure in silos. Eur. Phys. J. E 14 241.
    • (2004) Eur. Phys. J , vol.14 , pp. 241
    • Tixier, M.1    Pitois, O.2    Mills, P.3
  • 512
    • 0032606407 scopus 로고    scopus 로고
    • Stress propagation through frictionless granular material
    • Tkachenko, A. V. And Witten, T. A. 1999. Stress propagation through frictionless granular material. Phys. Rev. E 60 687.
    • (1999) Phys. Rev , vol.60 , pp. 687
    • Tkachenko, A.V.1    Witten, T.A.2
  • 513
    • 0034239247 scopus 로고    scopus 로고
    • Stress in frictionless granular material: Adaptative network simulations
    • Tkachenko, A. V. And Witten, T. A. 2000. Stress in frictionless granular material: Adaptative network simulations. Phys. Rev. E 62 2510.
    • (2000) Phys. Rev , vol.62 , pp. 2510
    • Tkachenko, A.V.1    Witten, T.A.2
  • 514
    • 2742535528 scopus 로고    scopus 로고
    • Use of contact area trace to study the force distributions inside 2D granular systems
    • Tsoungui, O., Vallet, D., and Charmet, J. C. 1998. Use of contact area trace to study the force distributions inside 2D granular systems. Granular Matter 1 65.
    • (1998) Granular Matter , vol.1 , pp. 65
    • Tsoungui, O.1    Vallet, D.2    Charmet, J.C.3
  • 516
    • 3242807449 scopus 로고    scopus 로고
    • The stress response of a semi-inflnite micropolar granular material subject to a concentrated force normal to the boundary
    • Walsh, S. D. C. And Tordesillas, A. 2004. The stress response of a semi-inflnite micropolar granular material subject to a concentrated force normal to the boundary. Granular Matter 6 27.
    • (2004) Granular Matter , vol.6 , pp. 27
    • Walsh, S.D.C.1    Tordesillas, A.2
  • 517
    • 0023209544 scopus 로고
    • The effective elastic moduli of a random packing of spheres
    • Walton, K. 1987. The effective elastic moduli of a random packing of spheres. J. Mech. Phys. Solids 35 213.
    • (1987) J. Mech. Phys. Solids , vol.35 , pp. 213
    • Walton, K.1
  • 518
    • 0023347995 scopus 로고
    • Measurement of static stresses on the wall of a cylindrical container for particulate solids
    • Williams, J. C., Al-Salman, D., and Birks, A. 1987. Measurement of static stresses on the wall of a cylindrical container for particulate solids. Powder Tech. 50 163.
    • (1987) Powder Tech , vol.50 , pp. 163
    • Williams, J.C.1    Al-Salman, D.2    Birks, A.3
  • 519
  • 520
    • 0029661814 scopus 로고    scopus 로고
    • An explanation for the central stress minimum in sandpiles
    • Wittmer, J. P., Claudin, P., Cates, M. E., and Bouchaud, J. P. 1996. An explanation for the central stress minimum in sandpiles. Nature 382 336.
    • (1996) Nature , vol.382 , pp. 336
    • Wittmer, J.P.1    Claudin, P.2    Cates, M.E.3    Bouchaud, J.P.4
  • 521
    • 0036333662 scopus 로고    scopus 로고
    • Vibrations of amorphous, nanometric structures: When does continuum theory applyfl
    • Wittmer, J. P., Tanguy, A., Barrat, J. L., and Lewis, L. 2002. Vibrations of amorphous, nanometric structures: When does continuum theory applyfl Europhysics Lett. 57 423.
    • (2002) Europhysics Lett , vol.57 , pp. 423
    • Wittmer, J.P.1    Tanguy, A.2    Barrat, J.L.3    Lewis, L.4
  • 524
    • 28144442045 scopus 로고    scopus 로고
    • Hydrodynamics of nearly smooth granular gases
    • Goldhirsch, I., Noskowicz, S. H., and Bar-Lev, O. 2005. Hydrodynamics of nearly smooth granular gases. J. Phys. Chem. B 109, 21449-21470.
    • (2005) J. Phys. Chem , vol.109 , pp. 21449-21470
    • Goldhirsch, I.1    Noskowicz, S.H.2    Bar-Lev, O.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.