Short-time dynamics and critical behavior of the three-dimensional site-diluted Ising model

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

Volumn 81, Issue 1, 2010, Pages

  Prudnikov, Vladimir V ^a   Prudnikov, Pavel V ^a   Krinitsyn, Aleksandr S ^a   Vakilov, Andrei N ^a   Pospelov, Evgenii A ^a   Rychkov, Mikhail V ^a  

^a OMSK STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL BEHAVIOR; CRITICAL REGION; CROSS-OVER PHENOMENA; DILUTED ISING MODEL; DYNAMIC EVOLUTION; INITIAL STATE; MONTE CARLO SIMULATION; NUMERICAL SIMULATION; RENORMALIZATION GROUP; SHORT-TIME DYNAMICS; SPIN CONCENTRATION; STATIC AND DYNAMIC; THREE STAGES; UNIVERSAL BEHAVIORS;

ISING MODEL; MONTE CARLO METHODS;

THREE DIMENSIONAL;

EID: 76149083236     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.011130     Document Type: Article

References (67)

1. R. B. Stinchcombe, Phase Transitions and Critical Phenomena (Academic, New York, 1983), Vol. 7.
2. R. Folk, Yu. Holovatch, and T. Yavors'kii, Phys. Usp. 46, 169 (2003) 10.1070/PU2003v046n02ABEH001077
3. R. Folk, Yu. Holovatch, and T. Yavors'kii, [Usp. Fiz. Nauk 173, 175 (2003)]. 10.3367/UFNr.0173.200302c.0175
4. A. B. Harris, J. Phys. C 7, 1671 (1974). 10.1088/0022-3719/7/9/009
5. A. B. Harris and T. C. Lubensky, Phys. Rev. Lett. 33, 1540 (1974). 10.1103/PhysRevLett.33.1540
6. D. E. Khmelnitskii, Sov. Phys. JETP 41, 981 (1975).
7. J. Emery, Phys. Rev. B 11, 239 (1975). 10.1103/PhysRevB.11.239
8. G. Grinstein and A. Luther, Phys. Rev. B 13, 1329 (1976). 10.1103/PhysRevB.13.1329
9. G. Grinstein, S.-k. Ma, and G. F. Mazenko, Phys. Rev. B 15, 258 (1977). 10.1103/PhysRevB.15.258
10. W. Selke, L. N. Shchur, and A. L. Talapov, in Annual Reviews of Computational Physics, edited by, D. Stauffer, (World Scientific, Singapore, 1994), Vol. I, pp. 17-54.
11. J. L. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University Press, Cambridge, England, 1996).
12. A. Pelissetto and E. Vicari, Phys. Rep. 368, 549 (2002). 10.1016/S0370-1573(02)00219-3
13. V. S. Dotsenko, A. B. Harris, D. Sherrington, and R. B. Stinchcombe, J. Phys. A 28, 3093 (1995). 10.1088/0305-4470/28/11/012
14. V. S. Dotsenko and D. E. Feldman, J. Phys. A 28, 5183 (1995). 10.1088/0305-4470/28/18/010
15. V. V. Prudnikov, P. V. Prudnikov, and A. A. Fedorenko, Phys. Rev. B 63, 184201 (2001) 10.1103/PhysRevB.63.184201
16. V. V. Prudnikov and P. V. Prudnikov, Sov. Phys. JETP 95, 550 (2002). 10.1134/1.1513829
17. B. Berche, P. E. Berche, C. Chatelain, and W. Janke, Condens. Matter Phys. 8, 47 (2005).
18. H. K. Janssen, B. Schaub, and B. Schmittmann, Z. Phys. B 73, 539 (1989). 10.1007/BF01319383
19. P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. 49, 435 (1977). 10.1103/RevModPhys.49.435
20. P. Calabrese and A. Gambassi, J. Phys. A 38, R133 (2005). 10.1088/0305-4470/38/18/R01
21. V. V. Prudnikov, P. V. Prudnikov, I. A. Kalashnikov, and S. S. Tsirkin, Sov. Phys. JETP 106, 1095 (2008). 10.1134/S1063776108060083
22. K. Oerding and H. K. Janssen, J. Phys. A 26, 3369 (1993). 10.1088/0305-4470/26/14/006
23. K. Oerding and H. K. Janssen, J. Phys. A 26, 5295 (1993). 10.1088/0305-4470/26/20/016
24. D. A. Huse, Phys. Rev. B 40, 304 (1989). 10.1103/PhysRevB.40.304
25. B. Zheng, Int. J. Mod. Phys. B 12, 1419 (1998). 10.1142/S021797929800288X
26. A. Jaster, J. Mainville, L. Schülke, and B. Zheng, J. Phys. A 32, 1395 (1999). 10.1088/0305-4470/32/8/008
27. H. J. Luo, L. Schülke, and B. Zheng, Phys. Rev. E 64, 036123 (2001). 10.1103/PhysRevE.64.036123
28. J. Q. Yin, B. Zheng, V. V. Prudnikov, and S. Trimper, Eur. Phys. J. B 49, 195 (2006). 10.1140/epjb/e2006-00045-9
29. R. Paul and G. Schehr, Europhys. Lett. 72, 719 (2005) 10.1209/epl/i2005-10304-y
30. G. Schehr and R. Paul, J. Phys.: Conf. Ser. 40, 27 (2006) 10.1088/1742-6596/40/1/003
31. e-print arXiv:cond-mat/0511571.
32. G. Schehr and R. Paul, Phys. Rev. E 72, 016105 (2005). 10.1103/PhysRevE.72.016105
33. K. Oerding and H. K. Janssen, J. Phys. A 28, 4271 (1995). 10.1088/0305-4470/28/15/008
34. V. V. Prudnikov, P. V. Prudnikov, and A. A. Fedorenko, Phys. Rev. B 62, 8777 (2000). 10.1103/PhysRevB.62.8777
35. V. V. Prudnikov, P. V. Prudnikov, B. Zheng, S. V. Dorofeev, and V. Yu. Kolesnikov, Prog. Theor. Phys. 117, 973 (2007). 10.1143/PTP.117.973
36. H. K. Janssen, From Phase Transitions to Chaos, edited by, G. Gyorgyi., I. Kondor., L. Sasvari. and, T. Tel. Topics in Modern Statistical Physics (World Scientific, Singapore, 1992).
37. V. V. Prudnikov, P. V. Prudnikov, A. N. Vakilov, and A. S. Krinitsyn, Sov. Phys. JETP 105, 371 (2007). 10.1134/S1063776107080092
38. V. V. Prudnikov, A. V. Ivanov, and A. A. Fedorenko, JETP Lett. 66, 835 (1997). 10.1134/1.567606
39. A. M. Ferrenberg and D. P. Landau, Phys. Rev. B 44, 5081 (1991). 10.1103/PhysRevB.44.5081
40. A. Pelissetto and E. Vicari, Phys. Rev. B 62, 6393 (2000). 10.1103/PhysRevB.62.6393
41. H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, and J. J. Ruiz-Lorenzo, Phys. Rev. B 58, 2740 (1998). 10.1103/PhysRevB.58.2740
42. G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo, Phys. Rev. E 60, 5198 (1999). 10.1103/PhysRevE.60.5198
43. A. S. Krinitsyn, V. V. Prudnikov, and P. V. Prudnikov, Teor. Mat. Fiz. 147, 559 (2006).
44. N. Rosov, C. Hohenemser, and M. Eibschutz, Phys. Rev. B 46, 3452 (1992). 10.1103/PhysRevB.46.3452
45. D. Amit, Field Theory, the Renormalization Group, and Critical Phenomena (McGraw-Hill, New York, 1978).
46. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon Press, Oxford, 1996).
47. G. A. Baker, B. G. Nickel, and D. I. Meiron, Phys. Rev. B 17, 1365 (1978). 10.1103/PhysRevB.17.1365
48. J. C. Le Guillou and J. Zinn-Justin, Phys. Rev. Lett. 39, 95 (1977) 10.1103/PhysRevLett.39.95
49. J. C. Le Guillou and J. Zinn-Justin, Phys. Rev. B 21, 3976 (1980). 10.1103/PhysRevB.21.3976
50. S. A. Antonenko and A. I. Sokolov, Phys. Rev. B 49, 15901 (1994) 10.1103/PhysRevB.49.15901
51. S. A. Antonenko and A. I. Sokolov, Phys. Rev. E 51, 1894 (1995) 10.1103/PhysRevE.51.1894
52. A. I. Sokolov, K. B. Varnashev, and A. I. Mudrov, Int. J. Mod. Phys. B 12, 1365 (1998). 10.1142/S0217979298000776
53. D. I. Kazakov, O. V. Tarasov, and D. V. Shirkov, Theor. Math. Phys. 38, 9 (1979) 10.1007/BF01030252
54. D. I. Kazakov and V. S. Popov, Sov. Phys. JETP 95, 581 (2002). 10.1134/1.1520590
55. I. M. Suslov, Sov. Phys. JETP 93, 1 (2001). 10.1134/1.1391515
56. S. Wiseman and E. Domany, Phys. Rev. Lett. 81, 22 (1998) 10.1103/PhysRevLett.81.22
57. S. Wiseman and E. Domany, Phys. Rev. E 58, 2938 (1998). 10.1103/PhysRevE.58.2938
58. P. Calabrese, V. Martín-Mayor, A. Pelissetto, and E. Vicari, Phys. Rev. E 68, 036136 (2003). 10.1103/PhysRevE.68.036136
59. H.-O. Heuer, J. Phys. A 26, L333 (1993) 10.1088/0305-4470/26/6/007
60. H.-O. Heuer, Phys. Rev. B 42, 6476 (1990). 10.1103/PhysRevB.42.6476
61. H.-O. Heuer, J. Phys. A 26, L341 (1993). 10.1088/0305-4470/26/6/008
62. V. V. Prudnikov and A. N. Vakilov, JETP Lett. 55, 741 (1992)
63. V. V. Prudnikov and A. N. Vakilov, Sov. Phys. JETP 76, 469 (1993).
64. A. K. Murtazaev, I. K. Kamilov, and A. B. Babaev, Sov. Phys. JETP 99, 1201 (2004). 10.1134/1.1854807
65. Z. Slanič, D. P. Belanger, and J. A. Fernandez-Baca, Phys. Rev. Lett. 82, 426 (1999). 10.1103/PhysRevLett.82.426
66. M. Hasenbusch, A. Pelissetto, and E. Vicari, J. Stat. Mech.: Theory Exp. 2007, P11009. 10.1088/1742-5468/2007/11/P11009
67. N. Rosov, A. Kleinhammes, P. Lidbjork, C. Hohenemser, and M. Eibschutz, Phys. Rev. B 37, 3265 (1988). 10.1103/PhysRevB.37.3265