Dynamic equivalences in the hard-sphere dynamic universality class

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 88, Issue 4, 2013, Pages

  López Flores, Leticia ^a   Ruíz Estrada, Honorina ^a   Chávez Páez, Martín ^b   Medina Noyola, Magdaleno ^b  

^a BENEMÉRITA UNIVERSIDAD AUTÓNOMA DE PUEBLA   (Mexico)

^b UNIVERSIDAD AUTÓNOMA DE SAN LUIS POTOSÍ   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC EQUIVALENCE; DYNAMIC UNIVERSALITY CLASS; INTERACTION POTENTIALS; INTERMEDIATE SCATTERING FUNCTIONS; LONG-TIME DYNAMICS; MEAN SQUARED DISPLACEMENT; REPULSIVE INTERACTIONS; SYSTEMATIC SIMULATION;

BROWNIAN MOVEMENT; COMPUTER SIMULATION; LIQUIDS; SPHERES;

EQUIVALENCE CLASSES;

EID: 84885986502     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.042301     Document Type: Article

References (61)

1. C. A. Angell, K. L. Ngai, G. B. McKenna, P. F. McMillan, and S. F. Martin, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1286035 88, 3113 (2000).
2. M. D. Ediger, C. A. Angell, and S. R. Nagel, J. Phys. Chem. JPCHAX 0022-3654 10.1021/jp953538d 100, 13200 (1996).
3. K. L. Ngai, D. Prevosto, S. Capaccioli, and C. M. Roland, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/20/24/244125 20, 244125 (2008). (Pubitemid 351777671)
4. C. A. Angell, Science SCIEAS 0036-8075 10.1126/science.267.5206.1924 267, 1924 (1995).
5. P. G. Debenedetti and F. H. Stillinger, Nature (London) NATUAS 0028-0836 10.1038/35065704 410, 259 (2001). (Pubitemid 32218700)
6. F. Sciortino and P. Tartaglia, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730500414570 54, 471 (2005). (Pubitemid 43065282)
7. Jamming and Rheology: Constrained Dynamics on Microscopic and Macroscopic Scales, edited by A. J. Liu and S. R. Nagel (Taylor & Francis, New York, 2001).
8. N. Xu, T. K. Haxton, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.245701 103, 245701 (2009).
9. L. Berthier and T. A. Witten, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/86/10001 86, 10001 (2009).
10. H. Löwen, J. P. Hansen, and J. N. Roux, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.1169 44, 1169 (1991).
11. G. Szamel and E. Flenner, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10117-6 67, 779 (2004). (Pubitemid 39202894)
12. A. M. Puertas, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/22/10/104121 22, 104121 (2010).
13. W. Götze, in Liquids, Freezing and Glass Transition, edited by, J. P. Hansen, D. Levesque, and, J. Zinn-Justin, (North-Holland, Amsterdam, 1991).
14. G. Szamel and H. Löwen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.8215 44, 8215 (1991).
15. L. Bøhling, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/25/3/032101 25, 032101 (2013).
16. J. L. Boon and S. Yip, Molecular Hydrodynamics (Dover Publications, New York, 1980).
17. M. Medina-Noyola, Faraday Discuss. Chem. Soc. FDCSB7 0301-7249 10.1039/dc9878300021 83, 21 (1987).
18. M. Medina-Noyola and J. L. del Río-Correa, Physica A PHYADX 0378-4371 10.1016/0378-4371(87)90281-0 146, 483 (1987).
19. L. Yeomans-Reyna and M. Medina-Noyola, Phys. Rev. E 1063-651X 10.1103/PhysRevE.62.3382 62, 3382 (2000).
20. L. Yeomans-Reyna and M. Medina-Noyola, Phys. Rev. E 1063-651X 10.1103/PhysRevE.64.066114 64, 066114 (2001).
21. L. Yeomans-Reyna, H. Acuña-Campa, F. de Jesús Guevara-Rodríguez, and M. Medina-Noyola, Phys. Rev. E 1063-651X 10.1103/PhysRevE.67.021108 67, 021108 (2003).
22. P. E. Ramírez-González, Rev. Mex. Fis. 53, 327 (2007).
23. L. Yeomans-Reyna, M. A. Chávez-Rojo, P. E. Ramírez- González, R. Juárez-Maldonado, M. Chávez-Páez, and M. Medina-Noyola, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.041504 76, 041504 (2007). (Pubitemid 47631531)
24. R. Juárez-Maldonado, M. A. Chávez-Rojo, P. E. Ramírez-González, L. Yeomans-Reyna, and M. Medina-Noyola, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.062502 76, 062502 (2007). (Pubitemid 351377702)
25. P. E. Ramírez-González and M. Medina-Noyola, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.061503 82, 061503 (2010).
26. P. E. Ramírez-González and M. Medina-Noyola, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.061504 82, 061504 (2010).
27. P. E. Ramírez-González and M. Medina-Noyola, J. Phys.: Condens Matter JCOMEL 0953-8984 10.1088/0953-8984/21/7/075101 21, 075101 (2009).
28. P. E. Ramírez-González, L. López-Flores, H. Acuña-Campa, and M. Medina-Noyola, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.155701 107, 155701 (2011).
29. H. C. Andersen, J. D. Weeks, and D. Chandler, Phys. Rev. A 1050-2947 10.1103/PhysRevA.4.1597 4, 1597 (1971).
30. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic Press, Waltham, Massachusetts, 1976).
31. P. Mendoza-Méndez, L. López-Flores, A. Vizcarra- Rendón, L. E. Sánchez-Díaz, and M. Medina-Noyola [Physica A (to be published)] (2013), arXiv: 1203.3893v3 [cond-mat.soft].
32. L. López-Flores, L. L. Yeomans-Reyna, M. Chávez- Páez, and M. Medina-Noyola, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/24/37/375107 24, 375107 (2012).
33. G. Nägele, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(95)00078-X 272, 215 (1996).
34. K. J. Gaylor, I. K. Snook, W. van Megen, and R. O. Watts, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/13/7/033 13, 2513 (1980).
35. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Oxford University Press, Oxford, 1887).
36. T. S. Grigera and G. Parisi, Phys. Rev. E 1063-651X 10.1103/PhysRevE.63. 045102 63, 045102 (R) (2001).
37. D. Dubbeldam, D. C. Ford, D. E. Ellis, and R. Q. Snurr, Mol. Sim. 10.1080/08927020902818039 35, 1084 (2009).
38. J. S. van Duijneveldt and D. Frenkel, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.462802 96, 4655 (1992).
39. G. Pérez-Ángel, L. E. Sánchez-Díaz, P. E. Ramírez-González, R. Juárez-Maldonado, A. Vizcarra-Rendón, and M. Medina-Noyola, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.060501 83, 060501 (2011).
40. J. K. Percus and G. J. Yevick, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.110.1 110, 1 (1958).
41. M. S. Wertheim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.10. 321 10, 321 (1963).
42. L. Verlet and J.-J. Weis, Phys. Rev. A 1050-2947 10.1103/PhysRevA.5.939 5, 939 (1972).
43. F. de Jesús Guevara-Rodríguez, and M. Medina-Noyola, Phys. Rev. E 1063-651X 10.1103/PhysRevE.68.011405 68, 011405 (2003).
44. J. L. Lebowitz, Phys. Rev. 133, A825 (1972).
45. K. Hiroike, Mol. Phys. MOPHAM 0026-8976 10.1080/00268977700101011 33, 1195 (1977);
46. K. Hiroike, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.27.1415 27, 1415 (1969).
47. S. R. Williams and W. van Megen, Phys. Rev. E 1063-651X 10.1103/PhysRevE.64.041502 64, 041502 (2001).
48. P. N. Pusey, in Liquids, Freezing and Glass Transition, edited by, J. P. Hansen, D. Levesque, and, J. Zinn-Justin, (Elsevier, Amsterdam, 1991), Chap. 10.
49. D. A. McQuarrie, Statistical Mechanics (Harper and Row, New York, 1975).
50. J. L. Lebowitz, Phys. Rev. 10.1103/PhysRev.133.A895 133, A895 (1964).
51. C. N. Likos, Soft Matter 1744-683X 10.1039/b601916c 2, 478 (2006). (Pubitemid 43825072)
52. N. Gnan, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3265957 131, 234504 (2009).
53. N. Gnan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.125902 104, 125902 (2010).
54. T. S. Ingebrigtsen, T. B. Schrøder, and J. C. Dyre, Phys. Rev. X 2160-3308 10.1103/PhysRevX.2.011011 2, 011011 (2012).
55. Y. Rosenfeld, Phys. Rev. A 1050-2947 10.1103/PhysRevA.15.2545 15, 2545 (1977);
56. Y. Rosenfeld, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/28/303 11, 5415 (1999).
57. W. P. Krekelberg, M. J. Pond, G. Goel, V. K. Shen, J. R. Errington, and T. M. Truskett, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.061205 80, 061205 (2009).
58. M. J. Pond, J. R. Errington, and T. M. Truskett, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3559676 134, 081101 (2011).
59. L. Berthier and G. Tarjus, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.031502 82, 031502 (2010).
60. U. R. Pedersen, T. B. Schrøder, and J. C. Dyre, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.157801 105, 157801 (2010).
61. M. Medina-Noyola, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 60.2705 60, 2705 (1988).