Nonequilibrium relaxation of the two-dimensional Ising model: Series-expansion and Monte Carlo studies

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 6, 1998, Pages 6548-6554

  Wang, Jian Sheng ^a   Gan, Chee Kwan ^a,b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042180421     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.6548     Document Type: Article

References (73)

1. P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. 49, 435 (1977). RMPHAT
2. Z. Alexandrowicz, Physica A 167, 322 (1990).
3. L. van Hove, Phys. Rev. 93, 1374 (1954).
4. R. Abe and A. Hatano, Prog. Theor. Phys. 41, 941 (1969).
5. H. Yahata and M. Suzuki, J. Phys. Soc. Jpn. 27, 1421 (1969).
6. H. Yahata, J. Phys. Soc. Jpn. 30, 657 (1971).
7. Z. Rácz and M. F. Collins, Phys. Rev. B 13, 3074 (1976).
8. J. Rogiers and J. O. Indekeu, Phys. Rev. B 41, 6998 (1990).
9. J. Wang, Phys. Rev. B 47, 869 (1993).
10. B. Dammann and J. D. Reger, Europhys. Lett. 21, 157 (1993); EULEEJ
11. B. DammannJ. D. RegerZ. Phys. B 98, 97 (1995).
12. J. Adler, in Annual Reviews of Computational Physics IV, edited by D. Stauffer (World Scientific, Singapore, 1996), p. 241.
13. B. I. Halperin, P. C. Hohenberg, and S. Ma, Phys. Rev. Lett. 29, 1548 (1972).
14. C. De Dominicis, E. Brézin, and J. Zin-Justin, Phys. Rev. B 12, 4945 (1975).
15. R. Bausch, V. Dohm, H. K. Janssen, and R. K. P. Zia, Phys. Rev. Lett. 47, 1837 (1981).
16. Y. Achiam, J. Phys. A 13, 1355 (1980).
17. G. F. Mazenko and O. T. Valls, Phys. Rev. B 24, 1419 (1981); PRBMDO
18. BG. F. MazenkoO. T. Phys. Rev. Valls31, 1565 (1985).
19. H. Takano and M. Suzuki, Prog. Theor. Phys. 67, 1332 (1982).
20. F. Haake, M. Lewenstein, and M. Wilkens, Z. Phys. B 54, 333 (1984).
21. J. Tobochnik, S. Sarker, and R. Cordery, Phys. Rev. Lett. 46, 1417 (1981).
22. C. Kalle, J. Phys. A 17, L801 (1984).
23. J. K. Williams, J. Phys. A 18, 49 (1985).
24. M.-D. Lacasse, J. Viñals, and M. Grant, Phys. Rev. B 47, 5646 (1993).
25. S.-K. Ma, Phys. Rev. Lett. 37, 461 (1976); PRLTAO
26. R. H. Swendsen, Phys. Rev. Lett. 42, 859 (1979)
27. R. H. Swendsen, in Real Space Renormalization, edited by T. W. Burkhardt and J. M. J. van Leeuwen (Springer, Berlin, 1982).
28. E. Stoll, K. Binder, and T. Schneider, Phys. Rev. B 8, 3266 (1973).
29. S. Tang and D. P. Landau, Phys. Rev. B 36, 567 (1987); PRBMDO
30. BS. Wansleben and D. P. Landau, Phys. Rev. 43, 6006 (1991).
31. D. P. Landau, Physica A 205, 41 (1994).
32. R. B. Pearson, J. L. Richardson, and D. Toussaint, Phys. Rev. B 31, 4472 (1985).
33. H.-O. Heuer, J. Phys. A 25, L567 (1992); in Annual Reviews of Computational Physics IV, edited by D. Stauffer (World Scientific, Singapore, 1996), p. 267.
34. M. Kikuchi and Y. Okabe, J. Phys. Soc. Jpn. 55, 1359 (1986).
35. O. F. de Alcantara Bonfim, Europhys. Lett. 4, 373 (1987).
36. M. Mori and Y. Tsuda, Phys. Rev. B 37, 5444 (1988).
37. D. Stauffer, Physica A 184, 201 (1992); PHYADX
38. Physica AD. Stauffer186, 197 (1992)
39. D. StaufferInt. J. Mod. Phys. C 3, 1059 (1992)
40. Int. J. Mod. Phys. CG. A. Kohring and D. Stauffer, 3, 1165 (1992).
41. C. Münkel, D. W. Heermann, J. Adler, M. Gofman, and D. Stauffer, Physica A 193, 540 (1993); PHYADX
42. C. Münkel, Int. J. Mod. Phys. C 4, 1137 (1993); IJMPEO
43. A. Linke, D. W. Heermann, P. Altevogt, and M. Siegert, Physica A 222, 205 (1995).
44. N. Ito, Physica A 196, 591 (1993); PHYADX
45. Physica AN. Ito192, 604 (1993).
46. D. Stauffer, J. Phys. A 26, L599 (1993).
47. R. Matz, D. L. Hunter, and N. Jan, J. Stat. Phys. 74, 903 (1994).
48. P. Grassberger, Physica A 214, 547 (1995).
49. U. Gropengiesser, Physica A 215, 308 (1995).
50. F. Wang, N. Hatano, and M. Suzuki, J. Phys. A 28, 4543 (1995); JPHAC5
51. F. Wang and M. Suzuki, Physica A 220, 534 (1995); PHYADX
52. F.-G. Wang and C.-K. Hu, Phys. Rev. E 56, 2310 (1997).
53. M. Kikuchi, N. Ito, and Y. Okabe, in Computer Simulation Studies in Condensed-Matter Physics VII, edited by D. P. Landau, K. K. Mon, and H. B. Schüttler (Springer, Berlin, 1994), p. 44.
54. Z. B. Li, L. Schülke, and B. Zheng, Phys. Rev. Lett. 74, 3396 (1995).
55. M. S. Soares, J. K. L. da Silva, and F. C. Sá Barreto, Phys. Rev. B 55, 1021 (1997).
56. R. Pandit, G. Forgacs, and P. Rujan, Phys. Rev. B 24, 1576 (1981).
57. M. P. Nightingale and H. W. J. Blöte, Phys. Rev. Lett. 76, 4548 (1996).
58. R. J. Glauber, J. Math. Phys. 4, 294 (1963).
59. L. Onsager, Phys. Rev. 65, 117 (1944).
60. H. Müller-Krumbhaar and K. Binder, J. Stat. Phys. 8, 1 (1973).
61. R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 58, 86 (1987); PRLTAO
62. J.-S. Wang and R. H. Swendsen, Physica A 167, 565 (1990).
63. C. K. Gan and J.-S. Wang, J. Phys. A 29, L177 (1996); JPHAC5
64. C. K. GanJ.-S. WangPhys. Rev. E 55, 107 (1997)
65. C. K. GanJ.-S. WangJ. Chem. Phys. 108, 3010 (1998).
66. Finite Size Scaling and the Numerical Simulation of Statistical Systems, edited by V. Privman (World Scientific, Singapore, 1990).
67. M. Suzuki, Prog. Theor. Phys. 58, 1142 (1977).
68. E. Domany, Phys. Rev. Lett. 52, 871 (1984).
69. G. A. Baker and P. Graves-Morris, Padé Approximants, Encyclopedia of Mathematics and its Applications (Addison-Wesley, Reading, MA, 1981), Vols. 13 and 14.
70. A. J. Guttmann, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, New York, 1989), Vol. 13.
71. R. Dickman, J.-S. Wang, and I. Jensen, J. Chem. Phys. 94, 8252 (1991); JCPSA6
72. I. Jensen and R. Dickman, J. Stat. Phys. 71, 89 (1993).
73. D. Stauffer, Physica A 215, 305 (1995). PHYADX