Equilibrium theory of the hard sphere fluid and glasses in the metastable regime up to jamming. I. Thermodynamics

Journal of Chemical Physics

Volumn 139, Issue 5, 2013, Pages

  Jadrich, Ryan ^a,b   Schweizer, Kenneth S ^a,b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONFIGURATIONAL ENTROPY; EQUILIBRIUM THEORY; FLUID-GLASS TRANSITION; HARD SPHERE FLUIDS; INTEGRAL-EQUATION THEORY; NUMERICAL PREDICTIONS; NUMERICAL RESULTS; PACKING FRACTIONS;

COMPUTER SIMULATION; EQUATIONS OF STATE; GLASS; GLASS TRANSITION; SPHERES; THERMODYNAMICS; VOLUME FRACTION;

JAMMING;

EID: 84903362186     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4816275     Document Type: Article

References (78)

1. For recent reviews, see: S. Torquato and F. H. Stillinger, Rev. Mod. Phys 82, 2633 (2010); 10.1103/RevModPhys.82.2633
2. A. J. Liu and S. R. Nagel, Annu. Rev. Condens. Matter Phys. 1, 347 (2010). 10.1146/annurev-conmatphys-070909-104045
3. G. Brambilla, D. El Masri, M. Pierno, L. Berthier, L. Cipelletti, G. Petekidis, and A. B. Schofield, Phys. Rev. Lett. 102, 085703 (2009). 10.1103/PhysRevLett.102.085703
4. P. N. Pusey and W. van Megen, Phys. Rev. Lett. 59, 2083 (1987); 10.1103/PhysRevLett.59.2083
5. W. van Megen, T. C. Mortensen, S. R. Williams, and J. Müller, Phys. Rev. E 58, 6073 (1998). 10.1103/PhysRevE.58.6073
6. G. L. Hunter and E. R. Weeks, Rep. Prog. Phys. 75, 066501 (2012). 10.1088/0034-4885/75/6/066501
7. Z. Cheng, J. Zhu, P. M. Chaikin, S. E. Phan, and W. B. Russel, Phys. Rev. E 65, 041405 (2002). 10.1103/PhysRevE.65.041405
8. N. Xu, T. K. Haxton, A. J. Liu and S. R. Nagel, Phys. Rev. Lett. 103, 245701 (2009); 10.1103/PhysRevLett.103.245701
9. M. Schmiedeberg, T. K. Haxton, S. R. Nagel, and A. J. Liu, Europhys. Lett. 96, 36010 (2011). 10.1209/0295-5075/96/36010
10. P. E. Ramirez-Gonzalez, L. Lopez-Flores, H. Acuna-Campa, and M. Medina-Noyola, Phys. Rev. Lett. 107, 155701 (2011). 10.1103/PhysRevLett.107. 155701
11. J.-P. Hansen and J. R. McDonald, Theory of Simple Liquids, 3rd ed. (Academic, New York, 2005).
12. D. A. McQuarrie, Statistical Mechanics (University Science Books, Sausalito, CA, 2000).
13. L. Berthier and T. A. Witten, Phys. Rev. E 80, 021502 (2009). 10.1103/PhysRevE.80.021502
14. M. Hermes and M. Dijkstra, Europhys. Lett. 89, 38005 (2010); 10.1209/0295-5075/89/38005
15. M. Hermes and M. Dijkstra, J. Phys.: Condens. Matter 22, 104114 (2010). 10.1088/0953-8984/22/10/104114
16. M. Skoge, A. Donev, F. H. Stillinger, and S. Torquato, Phys. Rev. E 74, 041127 (2006). 10.1103/PhysRevE.74.041127
17. S. Torquato, T. M. Truskett, and P. G. Debenedetti, Phys. Rev. Lett. 84, 2064 (2000). 10.1103/PhysRevLett.84.2064
18. R. D. Kamien and A. J. Liu, Phys. Rev. Lett. 99, 155501 (2007). 10.1103/PhysRevLett.99.155501
19. G. Parisi and F. Zamponi, Rev. Mod. Phys. 82, 789 (2010); 10.1103/RevModPhys.82.789
20. M. Mezard and G. Parisi, J. Chem. Phys. 111, 1076 (1999); 10.1063/1.479193
21. H. Yoshino, J. Chem. Phys. 136, 214108 (2012). 10.1063/1.4722343
22. I. Biazzo, F. Caltagirone, G. Parisi, and F. Zamponi, Phys. Rev. Lett. 102, 195701 (2009). 10.1103/PhysRevLett.102.195701
23. H. Jacquin, L. Berthier, and F. Zamponi, Phys. Rev. Lett. 106, 135702 (2011); 10.1103/PhysRevLett.106.135702
24. L. Berthier, H. Jacquin and F. Zamponi, Phys. Rev. E 84, 051103 (2011). 10.1103/PhysRevE.84.051103
25. P. Charbonneau, A. Ikeda, G. Parisi, and F. Zamponi, Phys. Rev. Lett. 107, 185702 (2011); 10.1103/PhysRevLett.107.185702
26. P. Charbonneau, E. I. Corwin, G. Parisi, and F. Zamponi, Phys. Rev. Lett. 109, 205501 (2012); 10.1103/PhysRevLett.109.205501
27. P. Charbonneau, A. Ikeda, G. Parisi, and F. Zamponi, Proc. Natl. Acad. Sci. U.S.A. 109, 13939 (2012). 10.1073/pnas.1211825109
28. P. Chaudhuri, L. Berthier, and S. Sastry, Phys. Rev. Lett. 104, 165701 (2010). 10.1103/PhysRevLett.104.165701
29. T. R. Kirkpatrick and P. G. Wolynes, Phys. Rev. A 35, 3072 (1987); 10.1103/PhysRevA.35.3072
30. V. Lubchenko and P. G. Wolynes, Annu. Rev. Phys. Chem. 58, 235 (2007). 10.1146/annurev.physchem.58.032806.104653
31. W. Götze and L. Sjogren, Rep. Prog. Phys. 55, 241 (1992); 10.1088/0034-4885/55/3/001
32. W. Gotze, Complex Dynamics of Glass Forming Liquids: A Mode Coupling Theory Approach (Oxford University Press, Oxford, 2008).
33. A. Ikeda and K. Miyazaki, Phys. Rev. Lett. 104, 255704 (2010). 10.1103/PhysRevLett.104.255704
34. G. Odriozola and L. Berthier, J. Chem. Phys. 134, 054504 (2011). 10.1063/1.3541248
35. R. Speedy, J. Chem. Phys. 100, 6684 (1994); 10.1063/1.467028
36. R. Speedy, J. Phys.: Condens. Matter 9, 8591 (1997); 10.1088/0953-8984/9/ 41/006
37. R. Speedy, J. Phys.: Condens. Matter 10, 4387 (1998). 10.1088/0953-8984/10/20/006
38. K. S. Schweizer, J. Chem. Phys. 123, 244501 (2005); 10.1063/1.2137701
39. K. S. Schweizer and E. J. Saltzman, J. Chem. Phys. 119, 1181 (2003). 10.1063/1.1578632
40. K. S. Schweizer, Curr. Opin. Colloid Interface Sci. 12, 297 (2007); 10.1016/j.cocis.2007.07.013
41. E. J. Saltzman and K. S. Schweizer, Phys. Rev. E 77, 051504 (2008). 10.1103/PhysRevE.77.051504
42. N. F. Carnahan and K. E. Starling, J. Chem. Phys. 51, 635 (1969). 10.1063/1.1672048
43. Y. Song, E. A. Mason, and R. M. Stratt, J. Phys. Chem. 93, 6916 (1989). 10.1021/j100356a008
44. M. Bishop and P. A. Whitlock, J. Chem. Phys. 123, 014507 (2005). 10.1063/1.1874793
45. M. Bishop and P. A. Whitlock, J. Stat. Phys. 126, 299 (2007). 10.1007/s10955-006-9266-9
46. M. Bishop, N. Clisby, and P. A. Whitlock, J. Chem. Phys. 128, 034506 (2008). 10.1063/1.2821962
47. G. Parisi, Field Theory, Disorder and Simulations (World Scientific, Singapore, 1992).
48. F. Zamponi, " Theory of simple glasses.," e-print arXiv:1212.0390v1.
49. L. Angelani and G. Foffi, J. Phys.: Condens. Matter 19, 256207 (2007). 10.1088/0953-8984/19/25/256207
50. A. Donev, F. H. Stillinger, and S. Torquato, J. Chem. Phys. 127, 124509 (2007); 10.1063/1.2775928
51. A. Donev, F. H. Stillinger, and S. Torquato, Phys. Rev. Lett. 96, 225502 (2006). 10.1103/PhysRevLett.96.225502
52. H. G. E. Hentschel, V. Ilyin, N. Makedonska, I. Procaccia, and N. Schupper, Phys. Rev. E 75, 050404 (R) (2007). 10.1103/PhysRevE.75.050404
53. B. Baeyens and H. Verschelde, Z. Phys. B: Condens. Matter 102, 255 (1997); 10.1007/s002570050287
54. B. Baeyens and H. Verschelde, J. Math. Phys. 36, 201 (1995). 10.1063/1.531302
55. K. Ball, Int. Math. Res. Notices 1992, 217 (1992). 10.1155/ S1073792892000242
56. H. Cohn, Geom. Topol. 6, 329 (2002); 10.2140/gt.2002.6.329
57. H. Cohn and N. Elkies, Ann. Math. 157, 689 (2003). 10.4007/annals.2003. 157.689
58. S. Torquato and F. H. Stillinger, Exp. Math. 15 (3), 307 (2006); 10.1080/10586458.2006.10128964
59. A. Scardicchio, F. H. Stillinger, and S. Torquato, J. Math. Phys. 49, 043301 (2008). 10.1063/1.2897027
60. S. Auer and D. Frenkel, Nature (London) 409, 1020 (2001). 10.1038/35059035
61. R. P. Sear, Europhys. Lett. 44, 531 (1998). 10.1209/epl/i1998-00500-3
62. P. N. Pusey, E. Zaccarelli, C. Valeriani, E. Sanz, W. C. K. Poon, and M. E. Cates, Philos. Trans. R. Soc. London, Ser. A 367, 4993 (2009). 10.1098/rsta.2009.0181
63. J. Kolafa, S. Labik, and A. Malijevsky, Phys. Chem. Chem. Phys. 6, 2335 (2004); 10.1039/b402792b
64. D. Ayala de Lonngi and P. Alejandro Lonngi Villanueva, Mol. Phys. 73, 763 (1991). 10.1080/00268979100101531
65. M. H. Cohen and G. S. Grest, Phys. Rev. B 20, 1077 (1979). 10.1103/PhysRevB.20.1077
66. W. G. Hoover and F. H. Ree, J. Chem. Phys. 49, 3609 (1968); 10.1063/1.1670641
67. W. G. Hoover and F. H. Ree, J. Chem. Phys. 47, 4873 (1967). 10.1063/1.1701730
68. M. Luban and A. Baram, J. Chem. Phys. 76, 3233 (1982). 10.1063/1.443316
69. H. L. Frisch and J. K. Percus, Phys. Rev. E 60, 2942 (1999). 10.1103/PhysRevE.60.2942
70. T. Boublik, J. Chem. Phys. 53, 471 (1970); 10.1063/1.1673824
71. G. A. Mansoori, N. F. Carnahan, K. E. Starling, and T. W. Leland, J. Chem. Phys. 54, 1523 (1971). 10.1063/1.1675048
72. A. Santos, S. B. Yuste, and M. López de Haro, J. Chem. Phys. 135, 181102 (2011). 10.1063/1.3663206
73. F. H. Stillinger, P. G. Debenedetti, and T. M. Truskett, J. Phys. Chem. B 105, 11809 (2001). 10.1021/jp011840i
74. C. A. Rogers, Packing and Covering (Cambridge University Press, Cambridge, 1964);
75. J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups (Spriger-Verlag, New York, 1993).
76. S. Torquato, O. U. Uche, and F. H. Stillinger, Phys. Rev. E 74, 061308 (2006). 10.1103/PhysRevE.74.061308
77. H. Reiss, H. L. Frisch, and J. L. Lebowitz, J. Chem. Phys. 31, 369 (1959). 10.1063/1.1730361
78. R. Jadrich and K. S. Schweizer, J. Chem. Phys. 139, 054502 (2013). 10.1063/1.4816276