메뉴 건너뛰기




Volumn 389, Issue 23, 2010, Pages 5362-5379

A first-order phase transition defines the random close packing of hard spheres

Author keywords

Granular matter; Phase transitions; Random close packing

Indexed keywords

ENTROPY; STATISTICAL MECHANICS;

EID: 77957751307     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2010.08.010     Document Type: Article
Times cited : (104)

References (53)
  • 2
    • 33845544986 scopus 로고
    • Packing of spheres: Co-ordination of randomly packed spheres
    • J.D. Bernal, and J. Mason Packing of spheres: co-ordination of randomly packed spheres Nature 188 1960 910 911
    • (1960) Nature , vol.188 , pp. 910-911
    • Bernal, J.D.1    Mason, J.2
  • 3
    • 6444227029 scopus 로고
    • What is random packing?
    • Anonymous. What is random packing? Nature 239 1972 488 489
    • (1972) Nature , vol.239 , pp. 488-489
  • 4
    • 0000998189 scopus 로고
    • Random close packing of hard spheres and disks
    • J.D. Berryman Random close packing of hard spheres and disks Phys. Rev. A 27 1983 1053 1061
    • (1983) Phys. Rev. A , vol.27 , pp. 1053-1061
    • Berryman, J.D.1
  • 5
    • 44449091850 scopus 로고    scopus 로고
    • A phase diagram for jammed matter
    • C. Song, P. Wang, and H.A. Makse A phase diagram for jammed matter Nature 453 2008 629 632
    • (2008) Nature , vol.453 , pp. 629-632
    • Song, C.1    Wang, P.2    Makse, H.A.3
  • 9
    • 35148817833 scopus 로고    scopus 로고
    • Why is random close packing reproducible?
    • R. Kamien, and A.J. Liu Why is random close packing reproducible? Phys. Rev. Lett. 99 2007 155501
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 155501
    • Kamien, R.1    Liu, A.J.2
  • 10
    • 77951113195 scopus 로고    scopus 로고
    • Mean field theory of hard sphere glasses and jamming
    • G. Parisi, and F. Zamponi Mean field theory of hard sphere glasses and jamming Rev. Modern Phys. 82 2010 789 845
    • (2010) Rev. Modern Phys. , vol.82 , pp. 789-845
    • Parisi, G.1    Zamponi, F.2
  • 11
    • 41849142590 scopus 로고    scopus 로고
    • Random close packing of granular matter
    • C. Radin Random close packing of granular matter J. Stat. Phys. 131 2008 567 573
    • (2008) J. Stat. Phys. , vol.131 , pp. 567-573
    • Radin, C.1
  • 12
    • 68149183640 scopus 로고    scopus 로고
    • A 'granocentric' model for random packing of jammed emulsions
    • M. Clusel, E.I. Corwin, A.O.N. Siemens, and J. Bruji A 'granocentric' model for random packing of jammed emulsions Nature 460 2009 611 615
    • (2009) Nature , vol.460 , pp. 611-615
    • Clusel, M.1    Corwin, E.I.2    Siemens, A.O.N.3    Bruji, J.4
  • 13
    • 0012995926 scopus 로고
    • The role of entropy in the specification of a powder
    • S.F. Edwards The role of entropy in the specification of a powder A. Mehta, Granular Matter: An Interdisciplinary Approach 1994 Springer-Verlag New York 121 140
    • (1994) Granular Matter: An Interdisciplinary Approach , pp. 121-140
    • Edwards, S.F.1
  • 14
    • 0000936314 scopus 로고
    • Geometric properties of random disk packings
    • B.D. Lubachevsky, and F.H. Stillinger Geometric properties of random disk packings J. Stat. Phys. 60 1990 561 583
    • (1990) J. Stat. Phys. , vol.60 , pp. 561-583
    • Lubachevsky, B.D.1    Stillinger, F.H.2
  • 15
    • 33750548448 scopus 로고    scopus 로고
    • Packing hyperspheres in high-dimensional euclidean spaces
    • M. Skoge, A. Donev, F.H. Stillinger, and S. Torquato Packing hyperspheres in high-dimensional euclidean spaces Phys. Rev. E 74 2006 041127
    • (2006) Phys. Rev. e , vol.74 , pp. 041127
    • Skoge, M.1    Donev, A.2    Stillinger, F.H.3    Torquato, S.4
  • 16
    • 37649027929 scopus 로고    scopus 로고
    • Pair correlation function characteristics of nearly jammed disordered and ordered hard-sphere packings
    • A. Donev, S. Torquato, and F.H. Stillinger Pair correlation function characteristics of nearly jammed disordered and ordered hard-sphere packings Phys. Rev. E 71 2005 011105
    • (2005) Phys. Rev. e , vol.71 , pp. 011105
    • Donev, A.1    Torquato, S.2    Stillinger, F.H.3
  • 17
    • 0007750378 scopus 로고
    • The force-biased algorithm for the irregular close packing of equal hard spheres
    • J. Moscinski, M. Bargiel, Z.A. Rycerz, and P.W.M. Jacobs The force-biased algorithm for the irregular close packing of equal hard spheres Mol. Sim. 3 1989 201
    • (1989) Mol. Sim. , vol.3 , pp. 201
    • Moscinski, J.1    Bargiel, M.2    Rycerz, Z.A.3    Jacobs, P.W.M.4
  • 18
    • 22944443017 scopus 로고
    • Computer simulation of close random packing of equal spheres
    • W.S. Jodrey, and E.M. Tory Computer simulation of close random packing of equal spheres Phys. Rev. A 32 1985 2347 2351
    • (1985) Phys. Rev. A , vol.32 , pp. 2347-2351
    • Jodrey, W.S.1    Tory, E.M.2
  • 19
    • 0001655886 scopus 로고
    • Random loose packings of uniform spheres and the dilatancy effect
    • G.Y. Onoda, and E.G. Liniger Random loose packings of uniform spheres and the dilatancy effect Phys. Rev. Lett. 64 1990 2727 2730
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 2727-2730
    • Onoda, G.Y.1    Liniger, E.G.2
  • 20
    • 42749107255 scopus 로고    scopus 로고
    • Local and global relations between the number of contacts and density in monodisperse sphere packs
    • T. Aste, M. Saadatfar, and T.J. Senden Local and global relations between the number of contacts and density in monodisperse sphere packs J. Stat. Mech. 2006 P07010
    • (2006) J. Stat. Mech. , pp. 07010
    • Aste, T.1    Saadatfar, M.2    Senden, T.J.3
  • 21
    • 34548717559 scopus 로고
    • Phase transition for a hard sphere system
    • B. Alder, and T. Wainwright Phase transition for a hard sphere system J. Chem. Phys. 27 1957 1208 1209
    • (1957) J. Chem. Phys. , vol.27 , pp. 1208-1209
    • Alder, B.1    Wainwright, T.2
  • 23
    • 0000703748 scopus 로고    scopus 로고
    • Isostatic phase transition and instability in stiff granular materials
    • C.F. Moukarzel Isostatic phase transition and instability in stiff granular materials Phys. Rev. Lett. 81 1998 1634 1637
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 1634-1637
    • Moukarzel, C.F.1
  • 24
    • 33646436227 scopus 로고
    • Bond-orientational order in liquids and glasses
    • P.J. Steinhardt, D.R. Nelson, and M. Ronchetti Bond-orientational order in liquids and glasses Phy. Rev. B 28 1983 784 805
    • (1983) Phy. Rev. B , vol.28 , pp. 784-805
    • Steinhardt, P.J.1    Nelson, D.R.2    Ronchetti, M.3
  • 25
    • 0034224713 scopus 로고    scopus 로고
    • Towards a quantification of disorder in materials: Distinguishing equilibrium and glassy sphere packings
    • T.M. Truskett, S. Torquato, and P.G. Debenedetti Towards a quantification of disorder in materials: distinguishing equilibrium and glassy sphere packings Phys. Rev. E 62 2000 993 1001
    • (2000) Phys. Rev. e , vol.62 , pp. 993-1001
    • Truskett, T.M.1    Torquato, S.2    Debenedetti, P.G.3
  • 26
    • 5344261317 scopus 로고
    • Theory of first-order phase transitions
    • K. Binder Theory of first-order phase transitions Rep. Progr. Phys. 50 1987 783 859
    • (1987) Rep. Progr. Phys. , vol.50 , pp. 783-859
    • Binder, K.1
  • 27
    • 0035688333 scopus 로고    scopus 로고
    • Packing fraction and measures of disorder of ultradense irregular packings of equal spheres. II. Transition from dense random packing
    • M. Bargiel, and E.M. Tory Packing fraction and measures of disorder of ultradense irregular packings of equal spheres. II. Transition from dense random packing Adv. Powder Technol. 12 2001 533 557
    • (2001) Adv. Powder Technol. , vol.12 , pp. 533-557
    • Bargiel, M.1    Tory, E.M.2
  • 28
    • 33750014267 scopus 로고    scopus 로고
    • Thermodynamics and statistical mechanics of dense granular media
    • M.P. Ciamarra, A. Coniglio, and M. Nicodemi Thermodynamics and statistical mechanics of dense granular media Phys. Rev. Lett. 97 2006 158001
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 158001
    • Ciamarra, M.P.1    Coniglio, A.2    Nicodemi, M.3
  • 29
    • 34547319610 scopus 로고    scopus 로고
    • Measuring the coordination number and entropy of a 3D jammed emulsion packing by confocal microscopy
    • J. Bruji, C. Song, P. Wang, C. Briscoe, G. Marty, and H.A. Makse Measuring the coordination number and entropy of a 3D jammed emulsion packing by confocal microscopy Phys. Rev. Lett. 98 2007 248001
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 248001
    • Bruji, J.1    Song, C.2    Wang, P.3    Briscoe, C.4    Marty, G.5    Makse, H.A.6
  • 32
    • 41349104627 scopus 로고    scopus 로고
    • Stationary state volume fluctuations in a granular medium
    • M. Schrter, D.I. Goldman, and H.L. Swinney Stationary state volume fluctuations in a granular medium Phys. Rev. E 71 2005 030301
    • (2005) Phys. Rev. e , vol.71 , pp. 030301
    • Schrter, M.1    Goldman, D.I.2    Swinney, H.L.3
  • 33
    • 0036899576 scopus 로고    scopus 로고
    • Compaction dynamics of a granular medium under vertical tapping
    • P. Philippe, and D. Bideau Compaction dynamics of a granular medium under vertical tapping Europhys. Lett. 60 2002 677 683
    • (2002) Europhys. Lett. , vol.60 , pp. 677-683
    • Philippe, P.1    Bideau, D.2
  • 36
    • 0034367549 scopus 로고    scopus 로고
    • Compaction of a granular material under cyclic shear
    • M. Nicolas, P. Duru, and O. Pouliquen Compaction of a granular material under cyclic shear Eur. Phys. J. E 3 2000 309 314
    • (2000) Eur. Phys. J. e , vol.3 , pp. 309-314
    • Nicolas, M.1    Duru, P.2    Pouliquen, O.3
  • 37
    • 77957748852 scopus 로고    scopus 로고
    • Private communication
    • AU.00006 Is random close packing of beads well defined?
    • F. Rietz, Private communication, Bulletin of the American Physical Society, 54 (19) AU.00006 (2009), Is random close packing of beads well defined?.
    • (2009) Bulletin of the American Physical Society , vol.54 , Issue.19
    • Rietz, F.1
  • 39
    • 77951135742 scopus 로고    scopus 로고
    • Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions
    • P. Chaudhuri, L. Berthier, and S. Sastry Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions Phys. Rev. Lett. 104 2010 165701
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 165701
    • Chaudhuri, P.1    Berthier, L.2    Sastry, S.3
  • 40
    • 73649091116 scopus 로고    scopus 로고
    • Experimental demonstration of nonuniform frequency distributions of granular packings
    • G.J. Gao, J. Blawzdziewicz, C.S. O'Hern, and M. Shattuck Experimental demonstration of nonuniform frequency distributions of granular packings Phys. Rev. E 80 2009 061304
    • (2009) Phys. Rev. e , vol.80 , pp. 061304
    • Gao, G.J.1    Blawzdziewicz, J.2    O'Hern, C.S.3    Shattuck, M.4
  • 41
    • 36849135353 scopus 로고
    • Preliminary results from a recalculation of the Monte Carlo equation of state of hard spheres
    • W.W. Wood, and J.D. Jacobson Preliminary results from a recalculation of the Monte Carlo equation of state of hard spheres J. Chem. Phys. 27 1957 1207 1208
    • (1957) J. Chem. Phys. , vol.27 , pp. 1207-1208
    • Wood, W.W.1    Jacobson, J.D.2
  • 42
    • 36849109424 scopus 로고
    • Melting transition and communal entropy for hard spheres
    • W.G. Hoover, and F.H. Ree Melting transition and communal entropy for hard spheres J. Chem. Phys. 49 1968 3609 3617
    • (1968) J. Chem. Phys. , vol.49 , pp. 3609-3617
    • Hoover, W.G.1    Ree, F.H.2
  • 43
    • 36549098394 scopus 로고
    • New Monte Carlo method to compute the free energy of arbitrary solids. Application to the fcc and hcp phases of hard spheres
    • D. Frenkel, and A.J.C. Ladd New Monte Carlo method to compute the free energy of arbitrary solids. Application to the fcc and hcp phases of hard spheres J. Chem. Phys. 81 1984 3188 3193
    • (1984) J. Chem. Phys. , vol.81 , pp. 3188-3193
    • Frenkel, D.1    Ladd, A.J.C.2
  • 44
    • 16444382474 scopus 로고
    • Phase behaviour of concentrated suspensions of nearly hard colloidal spheres
    • P.N. Pusey, and W. van Megen Phase behaviour of concentrated suspensions of nearly hard colloidal spheres Nature 320 1986 340 342
    • (1986) Nature , vol.320 , pp. 340-342
    • Pusey, P.N.1    Van Megen, W.2
  • 45
    • 0030813988 scopus 로고    scopus 로고
    • Crystallization of hard-sphere colloids in microgravity
    • STS-73 Space Shuttle Crew, W.B. Russel, and P.M. Chaikin
    • J. Zhu, M. Li, R. Rogers, W. Meyer, R.H. Ottewill, STS-73 Space Shuttle Crew, W.B. Russel, and P.M. Chaikin Crystallization of hard-sphere colloids in microgravity Nature 387 1997 883 885
    • (1997) Nature , vol.387 , pp. 883-885
    • Zhu, J.1    Li, M.2    Rogers, R.3    Meyer, W.4    Ottewill, R.H.5
  • 46
    • 0002162243 scopus 로고
    • Theory of the equilibrium liquidsolid transition
    • A.D.J. Haymet Theory of the equilibrium liquidsolid transition Ann. Rev. Phys. Chem. 38 1987 89 108
    • (1987) Ann. Rev. Phys. Chem. , vol.38 , pp. 89-108
    • Haymet, A.D.J.1
  • 47
    • 0001757703 scopus 로고
    • Van der Waals theory for solids
    • A. Daanoun, C.F. Tejero, and M. Baus van der Waals theory for solids Phys. Rev. E 50 1994 2913 2924
    • (1994) Phys. Rev. e , vol.50 , pp. 2913-2924
    • Daanoun, A.1    Tejero, C.F.2    Baus, M.3
  • 48
    • 0030284903 scopus 로고    scopus 로고
    • Metastability and crystallization in hard-sphere systems
    • M.D. Rintoul, and S. Torquato Metastability and crystallization in hard-sphere systems Phys. Rev. Lett. 77 1996 4198 4201
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 4198-4201
    • Rintoul, M.D.1    Torquato, S.2
  • 49
    • 0000501317 scopus 로고    scopus 로고
    • Pressure of the metastable hard-sphere fluid
    • R.J. Speedy Pressure of the metastable hard-sphere fluid J. Phys. Cond. Mat. 9 1997 8591 8599
    • (1997) J. Phys. Cond. Mat. , vol.9 , pp. 8591-8599
    • Speedy, R.J.1
  • 50
    • 34548449427 scopus 로고    scopus 로고
    • Landscape analysis of constraint satisfaction problems
    • F. Krzakala, and J. Kurchan Landscape analysis of constraint satisfaction problems Phys. Rev. E 76 2007 021122
    • (2007) Phys. Rev. e , vol.76 , pp. 021122
    • Krzakala, F.1    Kurchan, J.2
  • 52
    • 0037068322 scopus 로고    scopus 로고
    • Configurational entropy of network-forming materials
    • R.L. Vink, and G.T. Barkema Configurational entropy of network-forming materials Phys. Rev. Lett. 89 2002 076405
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 076405
    • Vink, R.L.1    Barkema, G.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.