메뉴 건너뛰기




Volumn 69, Issue 2 1, 2004, Pages

Giant fluctuations at a granular phase separation threshold

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; COMPUTER SIMULATION; DENSITY (SPECIFIC GRAVITY); GRANULAR MATERIALS; HYDRODYNAMICS; HYDROSTATIC PRESSURE; KINETIC THEORY; MOLECULAR DYNAMICS; SPHERES;

EID: 42749107166     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.021302     Document Type: Article
Times cited : (32)

References (58)
  • 2
    • 0004128252 scopus 로고    scopus 로고
    • Springer, Berlin
    • Granular Gases, edited by T. Pöschel and S. Luding (Springer, Berlin, 2001); Granular Gas Dynamics, edited by T. Pöschel and N. Brilliantov (Springer, Berlin, 2003).
    • (2001) Granular Gases
    • Pöschel, T.1    Luding, S.2
  • 3
    • 12144281707 scopus 로고    scopus 로고
    • Springer, Berlin
    • Granular Gases, edited by T. Pöschel and S. Luding (Springer, Berlin, 2001); Granular Gas Dynamics, edited by T. Pöschel and N. Brilliantov (Springer, Berlin, 2003).
    • (2003) Granular Gas Dynamics
    • Pöschel, T.1    Brilliantov, N.2
  • 4
    • 0020811698 scopus 로고
    • P.K. Haff, J. Fluid Mech. 134, 401 (1983); J.T. Jenkins and M.W. Richman, ibid. 192, 313 (1988); C.S. Campbell, Annu. Rev. Fluid Mech. 22, 57 (1990), and references therein.
    • (1983) J. Fluid Mech. , vol.134 , pp. 401
    • Haff, P.K.1
  • 5
    • 84974313513 scopus 로고
    • P.K. Haff, J. Fluid Mech. 134, 401 (1983); J.T. Jenkins and M.W. Richman, ibid. 192, 313 (1988); C.S. Campbell, Annu. Rev. Fluid Mech. 22, 57 (1990), and references therein.
    • (1988) J. Fluid Mech. , vol.192 , pp. 313
    • Jenkins, J.T.1    Richman, M.W.2
  • 6
    • 0025000507 scopus 로고
    • and references therein
    • P.K. Haff, J. Fluid Mech. 134, 401 (1983); J.T. Jenkins and M.W. Richman, ibid. 192, 313 (1988); C.S. Campbell, Annu. Rev. Fluid Mech. 22, 57 (1990), and references therein.
    • (1990) Annu. Rev. Fluid Mech. , vol.22 , pp. 57
    • Campbell, C.S.1
  • 7
    • 12044258224 scopus 로고
    • I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993); A. Kudrolli, M. Wolpert, and J.P. Gollub, ibid. 78, 1383 (1997); J.S. Olafsen and J.S. Urbach, ibid. 81, 4369 (1998); D. van der Meer, et al., ibid. 88, 174302 (2002); K. van der Weele et al., Europhys. Lett. 53, 328 (2001); B. Meerson, T. Pöschel, and Y. Bromberg, Phys. Rev. Lett. 91, 024301 (2003).
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 1619
    • Goldhirsch, I.1    Zanetti, G.2
  • 8
    • 0001714599 scopus 로고    scopus 로고
    • I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993); A. Kudrolli, M. Wolpert, and J.P. Gollub, ibid. 78, 1383 (1997); J.S. Olafsen and J.S. Urbach, ibid. 81, 4369 (1998); D. van der Meer, et al., ibid. 88, 174302 (2002); K. van der Weele et al., Europhys. Lett. 53, 328 (2001); B. Meerson, T. Pöschel, and Y. Bromberg, Phys. Rev. Lett. 91, 024301 (2003).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 1383
    • Kudrolli, A.1    Wolpert, M.2    Gollub, J.P.3
  • 9
    • 4344600693 scopus 로고    scopus 로고
    • I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993); A. Kudrolli, M. Wolpert, and J.P. Gollub, ibid. 78, 1383 (1997); J.S. Olafsen and J.S. Urbach, ibid. 81, 4369 (1998); D. van der Meer, et al., ibid. 88, 174302 (2002); K. van der Weele et al., Europhys. Lett. 53, 328 (2001); B. Meerson, T. Pöschel, and Y. Bromberg, Phys. Rev. Lett. 91, 024301 (2003).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 4369
    • Olafsen, J.S.1    Urbach, J.S.2
  • 10
    • 0037192996 scopus 로고    scopus 로고
    • I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993); A. Kudrolli, M. Wolpert, and J.P. Gollub, ibid. 78, 1383 (1997); J.S. Olafsen and J.S. Urbach, ibid. 81, 4369 (1998); D. van der Meer, et al., ibid. 88, 174302 (2002); K. van der Weele et al., Europhys. Lett. 53, 328 (2001); B. Meerson, T. Pöschel, and Y. Bromberg, Phys. Rev. Lett. 91, 024301 (2003).
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 174302
    • Van der Meer, D.1
  • 11
    • 0035242108 scopus 로고    scopus 로고
    • I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993); A. Kudrolli, M. Wolpert, and J.P. Gollub, ibid. 78, 1383 (1997); J.S. Olafsen and J.S. Urbach, ibid. 81, 4369 (1998); D. van der Meer, et al., ibid. 88, 174302 (2002); K. van der Weele et al., Europhys. Lett. 53, 328 (2001); B. Meerson, T. Pöschel, and Y. Bromberg, Phys. Rev. Lett. 91, 024301 (2003).
    • (2001) Europhys. Lett. , vol.53 , pp. 328
    • Van der Weele, K.1
  • 12
    • 0042530277 scopus 로고    scopus 로고
    • I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993); A. Kudrolli, M. Wolpert, and J.P. Gollub, ibid. 78, 1383 (1997); J.S. Olafsen and J.S. Urbach, ibid. 81, 4369 (1998); D. van der Meer, et al., ibid. 88, 174302 (2002); K. van der Weele et al., Europhys. Lett. 53, 328 (2001); B. Meerson, T. Pöschel, and Y. Bromberg, Phys. Rev. Lett. 91, 024301 (2003).
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 024301
    • Meerson, B.1    Pöschel, T.2    Bromberg, Y.3
  • 13
    • 0030524525 scopus 로고    scopus 로고
    • H.M. Jaeger, S.R. Nagel, and R.P. Behringer, Rev. Mod. Phys. 68, 1259 (1996); R.D. Wildman, J.M. Huntley, and D.J. Parker, Phys. Rev. Lett. 86, 3304 (2001); Y. Forterre and O. Pouliquen, ibid. 86, 5886 (2001).
    • (1996) Rev. Mod. Phys. , vol.68 , pp. 1259
    • Jaeger, H.M.1    Nagel, S.R.2    Behringer, R.P.3
  • 14
    • 0035831873 scopus 로고    scopus 로고
    • H.M. Jaeger, S.R. Nagel, and R.P. Behringer, Rev. Mod. Phys. 68, 1259 (1996); R.D. Wildman, J.M. Huntley, and D.J. Parker, Phys. Rev. Lett. 86, 3304 (2001); Y. Forterre and O. Pouliquen, ibid. 86, 5886 (2001).
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 3304
    • Wildman, R.D.1    Huntley, J.M.2    Parker, D.J.3
  • 15
    • 0035948084 scopus 로고    scopus 로고
    • H.M. Jaeger, S.R. Nagel, and R.P. Behringer, Rev. Mod. Phys. 68, 1259 (1996); R.D. Wildman, J.M. Huntley, and D.J. Parker, Phys. Rev. Lett. 86, 3304 (2001); Y. Forterre and O. Pouliquen, ibid. 86, 5886 (2001).
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 5886
    • Forterre, Y.1    Pouliquen, O.2
  • 22
    • 85035271957 scopus 로고    scopus 로고
    • M.L. Tan and I. Goldhirsch, Phys. Rev. Lett. 81, 3022 (1998); J.J. Brey and D. Cubero, Phys. Rev. E 57, 2019 (1998).
    • (1998) Phys. Rev. E , vol.57 , pp. 2019
    • Brey, J.J.1    Cubero, D.2
  • 23
    • 0000110437 scopus 로고
    • and references therein
    • P.C. Hohenberg and J.B. Swift, Phys. Rev. A 46, 4773 (1992), and references therein; G. Quentin and I. Rehberg, Phys. Rev. Lett. 74, 1578 (1995); M. Wu, G. Ahlers, and D.S. Cannell, ibid. 75, 1743 (1995).
    • (1992) Phys. Rev. A , vol.46 , pp. 4773
    • Hohenberg, P.C.1    Swift, J.B.2
  • 24
    • 0001196153 scopus 로고
    • P.C. Hohenberg and J.B. Swift, Phys. Rev. A 46, 4773 (1992), and references therein; G. Quentin and I. Rehberg, Phys. Rev. Lett. 74, 1578 (1995); M. Wu, G. Ahlers, and D.S. Cannell, ibid. 75, 1743 (1995).
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 1578
    • Quentin, G.1    Rehberg, I.2
  • 25
    • 0000715437 scopus 로고
    • P.C. Hohenberg and J.B. Swift, Phys. Rev. A 46, 4773 (1992), and references therein; G. Quentin and I. Rehberg, Phys. Rev. Lett. 74, 1578 (1995); M. Wu, G. Ahlers, and D.S. Cannell, ibid. 75, 1743 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 1743
    • Wu, M.1    Ahlers, G.2    Cannell, D.S.3
  • 26
    • 41349090978 scopus 로고    scopus 로고
    • E. Livne, B. Meerson, and P.V. Sasorov, e-print cond-mat/008301
    • E. Livne, B. Meerson, and P.V. Sasorov, e-print cond-mat/008301; Phys. Rev. E 65, 021302 (2002).
  • 27
    • 0037080636 scopus 로고    scopus 로고
    • E. Livne, B. Meerson, and P.V. Sasorov, e-print cond-mat/008301; Phys. Rev. E 65, 021302 (2002).
    • (2002) Phys. Rev. E , vol.65 , pp. 021302
  • 33
    • 0004128252 scopus 로고    scopus 로고
    • T.P.C. van Noije and M.H. Ernst, in Granular Gases (Ref. [2]), p. 3; J.J. Brey and D. Cubero, ibid., p. 59; I. Goldhirsch, ibid., p. 79.
    • Granular Gases , pp. 59
    • Brey, J.J.1    Cubero, D.2
  • 34
    • 0004128252 scopus 로고    scopus 로고
    • T.P.C. van Noije and M.H. Ernst, in Granular Gases (Ref. [2]), p. 3; J.J. Brey and D. Cubero, ibid., p. 59; I. Goldhirsch, ibid., p. 79.
    • Granular Gases , pp. 79
    • Goldhirsch, I.1
  • 37
    • 33645074562 scopus 로고    scopus 로고
    • E. Khain, B. Meerson, and P.V. Sasorov (unpublished)
    • E. Khain, B. Meerson, and P.V. Sasorov (unpublished).
  • 39
    • 33645083879 scopus 로고    scopus 로고
    • note
    • The hydrodynamic simulation was done with the constitutive relations by Grossman et al., [10], more accurate at large densities. In addition, the gas-kinetic viscosity in the momentum equation was replaced in this simulation, as well as in the simulations [13,16], by a moderately large Stokes friction. Obviously, the Stokes friction does not affect hydrostatic steady states. However, it cannot provide a faithful description of the shear modes in a gas of hard spheres.
  • 40
    • 34548717559 scopus 로고
    • B.J. Alder and T.E. Wainwright, J. Chem. Phys. 27, 1208 (1957); D.C. Rapaport, J. Comput. Phys. 34, 184 (1980); M. Marín, D. Risso, and P. Cordero, ibid. 109, 306 (1993).
    • (1957) J. Chem. Phys. , vol.27 , pp. 1208
    • Alder, B.J.1    Wainwright, T.E.2
  • 41
    • 0001412006 scopus 로고
    • B.J. Alder and T.E. Wainwright, J. Chem. Phys. 27, 1208 (1957); D.C. Rapaport, J. Comput. Phys. 34, 184 (1980); M. Marín, D. Risso, and P. Cordero, ibid. 109, 306 (1993).
    • (1980) J. Comput. Phys. , vol.34 , pp. 184
    • Rapaport, D.C.1
  • 42
    • 0001359576 scopus 로고
    • B.J. Alder and T.E. Wainwright, J. Chem. Phys. 27, 1208 (1957); D.C. Rapaport, J. Comput. Phys. 34, 184 (1980); M. Marín, D. Risso, and P. Cordero, ibid. 109, 306 (1993).
    • (1993) J. Comput. Phys. , vol.109 , pp. 306
    • Marín, M.1    Risso, D.2    Cordero, P.3
  • 43
    • 33645046015 scopus 로고    scopus 로고
    • note
    • Notice that, for large aspect ratios, hydrodynamic simulations are not expected to give a high accuracy for an entirely different reason. The density of the symmetry-broken cluster here approaches the close-packing density, while the accuracy of the interpolating constitutive relations [10] is not very high.
  • 44
    • 33645046259 scopus 로고    scopus 로고
    • note
    • A single simulation such as those shown in Figs. 4(c), 4(d), or 4(e) requires about 350 h of the CPU time of a Pentium P4 at 1.4 GHz.
  • 46
    • 0004286934 scopus 로고
    • Springer, Berlin
    • H. Haken, Synergetics (Springer, Berlin, 1983); J. García-Ojalvo and J. Sancho, Noise in Spatially Extended Systems (Springer, New York, 1999).
    • (1983) Synergetics
    • Haken, H.1
  • 51
    • 5244273194 scopus 로고
    • M. Malek Mansour et al., Phys. Rev. Lett. 58, 874 (1987); A.L. Garcia et al., Phys. Rev. A 36, 4348 (1987).
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 874
    • Malek Mansour, M.1
  • 52
    • 0001562339 scopus 로고
    • M. Malek Mansour et al., Phys. Rev. Lett. 58, 874 (1987); A.L. Garcia et al., Phys. Rev. A 36, 4348 (1987).
    • (1987) Phys. Rev. A , vol.36 , pp. 4348
    • Garcia, A.L.1
  • 53
    • 2042430560 scopus 로고
    • B.J. Alder and T.E. Wainwright, Phys. Rev. A 1, 18 (1970); P.M.V. Résibois and M. de Leener, Classical Kinetic Theory of Fluids (Wiley, New York, 1977).
    • (1970) Phys. Rev. A , vol.1 , pp. 18
    • Alder, B.J.1    Wainwright, T.E.2
  • 55
    • 33645070433 scopus 로고    scopus 로고
    • note
    • Unfortunately, recent attempts to employ fluctuating hydrodynamics in the context of a freely evolving [35] and randomly driven [36] dilute granular gas are incomplete, as they do not account for an important additional Langevin term in the energy equation, arising because of the discreteness of the collisional energy losses.
  • 58
    • 33645071205 scopus 로고    scopus 로고
    • See http://bioinf.charite.de/kies/giantfluctuations/


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.