Constrained tricritical Blume-Capel model in three dimensions

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

Volumn 70, Issue 4 2, 2004, Pages

  Deng, Youjin ^a   Blöte, Henk W J ^a,b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITEIT LEIDEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ASYMPTOTIC STABILITY; COMPUTER SIMULATION; HAMILTONIANS; INTEGRATION; MAGNETIZATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; PARAMETER ESTIMATION; PROBABILITY; SPECIFIC HEAT; STATISTICAL METHODS;

BINDER RATIO; BLUME-CAPEL MODEL; MEAN-FIELD TRICRITICAL SYSTEMS; UNCONSTRAINED SYSTEMS;

PHASE TRANSITIONS;

EID: 41349101548     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.046111     Document Type: Article

References (47)

1. M. Blume, Phys. Rev. 141, 517 (1966).
2. H. W. Capel Physica (Amsterdam) 32, 966 (1966); Phys. Lett. 23, 327 (1966).
3. H. W. Capel Physica (Amsterdam) 32, 966 (1966); Phys. Lett. 23, 327 (1966).
4. L. Onsager, Phys. Rev. 65, 117 (1944).
5. For a review, see, e.g., I. D. Lawrie and S. Sarbach, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, London, 1984), Vol. 9, p. 1.
6. B. M. McCoy and T. T. Wu, The Two-Dimensional Ising Model (Harvard University Press, Cambridge, MA, 1968).
7. R. J. Baxter, J. Phys. A 13, L61 (1980); J. Stat. Phys. 26, 427 (1981).
8. R. J. Baxter, J. Phys. A 13, L61 (1980); J. Stat. Phys. 26, 427 (1981).
9. D. A Huse, Phys. Rev. Lett. 49, 1121 (1982); R. J. Baxter and P. A. Pearce, J. Phys. A 16, 2239 (1983).
10. D. A Huse, Phys. Rev. Lett. 49, 1121 (1982); R. J. Baxter and P. A. Pearce, J. Phys. A 16, 2239 (1983).
11. B. Nienhuis, A. N. Berker, E. K. Riedel, and M. Schick, Phys. Rev. Lett. 43, 737 (1979).
12. B. Nienhuis, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, London, 1987), Vol. 11, p 1.
13. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, J. Stat. Phys. 34, 763 (1984); D. Friedan, Z. Qiu, and S. Shenker, Phys. Rev. Lett. 52, 1575 (1984).
14. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, J. Stat. Phys. 34, 763 (1984); D. Friedan, Z. Qiu, and S. Shenker, Phys. Rev. Lett. 52, 1575 (1984).
15. J. L. Cardy, in [9], p. 55.
16. h2=9/8 for the tricritical BC model in two dimensions.
17. For a review, see, e.g., K. Binder and E. Luijten, Phys. Rep. 344, 179 (2001).
18. M. Campostrini, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. E 65, 066127 (2002).
19. Y. Deng and H. W. J. Blöte, Phys. Rev. Lett. 88, 190602 (2002).
20. Y. Deng and H. W. J. Blöte, Phys. Rev. E 68, 036125 (2003).
21. For an introduction, see, e.g., S. K. Ma, Modern Theory of Critical Phenomena (Addison-Wesley, Redwood City, CA, 1976).
22. Y. Achiam and Y. Imry, J. Phys. C 10, 39 (1977).
23. R. B. Stinchcombe, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, London, 1984), Vol. 7, p. 152.
24. I. Syozi, Prog. Theor. Phys. 34, 189 (1965); I. Syozi and S. Miyazima, ibid. 36, 1083 (1966).
25. I. Syozi, Prog. Theor. Phys. 34, 189 (1965); I. Syozi and S. Miyazima, ibid. 36, 1083 (1966).
26. D. C. Rapaport, J. Phys. C 5, 1830 (1977); 5, 2813 (1977).
27. D. C. Rapaport, J. Phys. C 5, 1830 (1977); 5, 2813 (1977).
28. J. W. Essam and H. Garelick, Proc. Phys. Soc. London 92, 136 (1967).
29. M. E. Fisher, Phys. Rev. 176, 257 (1968).
30. Y. N. Skryabin and A. V. Shchanov, Phys. Lett. A 234, 147 (1997).
31. M. Krech, e-print cond-mat/9903288.
32. I. M. Mryglod and R. Folk, Physica A 294, 351 (2000).
33. I. M. Mryglod, I. P. Omelyan, and R. Folk, Phys. Rev. Lett. 86, 3156 (2001).
34. Y. Imry, Phys. Rev. Lett. 33, 1304 (1974); J. Rudnick, D. J. Bergman, and Y. Imry, Phys. Lett. A 46, 448 (1974); Y. Achiam and Y. Imry, Phys. Rev. B 12, 2768 (1975).
35. Y. Imry, Phys. Rev. Lett. 33, 1304 (1974); J. Rudnick, D. J. Bergman, and Y. Imry, Phys. Lett. A 46, 448 (1974); Y. Achiam and Y. Imry, Phys. Rev. B 12, 2768 (1975).
36. Y. Imry, Phys. Rev. Lett. 33, 1304 (1974); J. Rudnick, D. J. Bergman, and Y. Imry, Phys. Lett. A 46, 448 (1974); Y. Achiam and Y. Imry, Phys. Rev. B 12, 2768 (1975).
37. J. R. Heringa and H. W. J. Blöte, Physica A 232, 369 (1996).
38. H. W. J. Blöte, E. Luijten, and J. R. Heringa, J. Phys. A 28, 6289 (1995).
39. J. R. Heringa and H. W. J. Blöte, Phys. Rev. E 57, 4976 (1998).
40. U. Wolff, Phys. Rev. Lett. 62, 361 (1989).
41. E. Luijten and H. W. J. Blöte, Int. J. Mod. Phys. C 6, 359 (1995).
42. E. Luijten, Interaction Range, Universality and the Upper Critical Dimension (Delft University Press, Delft, 1997).
43. K. Binder, Z. Phys. B: Condens. Matter 43, 119 (1981).
44. Y. Deng and H. W. J. Blöte (unpublished).
45. S. Grollau, E. Kierlik, M. L. Rosinberg, and G. Tarjus, Phys. Rev. E 63, 041111 (2001).
46. M. Deserno, Phys. Rev. E 56, 5204 (1997).
47. R. H. Swendsen and J. S. Wang, Phys. Rev. Lett. 58, 86 (1987).