Fast flat-histogram method for generalized spin models

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

Volumn 72, Issue 5, 2005, Pages

  Reynal, S ^a   Diep, H T ^a  

^a UNIVERSITÉ DE CERGY PONTOISE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FAST FLAT-HISTOGRAM METHOD; GENERALIZED SPIN MODELS; MICROCANONICAL TEMPERATURE; SHORT-RANGE MODEL;

ALGORITHMS; COMPUTATIONAL COMPLEXITY; DENSITY (SPECIFIC GRAVITY); ESTIMATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; RANDOM PROCESSES; THERMAL EFFECTS;

STATISTICAL METHODS;

EID: 28844506765     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.056710     Document Type: Article

References (78)

1. G. Giacomin and J. L. Lebowitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1094 76, 1094 (1996).
2. P. J. Ford, Contemp. Phys. CTPHAF 0010-7514 23, 141 (1982).
3. D. J. Amit, Modeling Brain Functions (Cambridge University Press, Cambridge, England, 1989).
4. E. Luijten, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.7558 60, 7558 (1999).
5. W. K. Theumann and M. A. Gusmao, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.31.379 31, 379 (1985).
6. E. Luijten and H. W. J. BlÃte, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.025703 89, 025703 (2002).
7. S. Reynal and H. T. Diep, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.026109 69, 026109 (2004).
8. M. Biskup, L. Chayes, and N. Crawford, math-ph/0501067 (unpublished).
9. S. A. Cannas and F. A. Tamarit, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.R12661 54, R12661 (1996).
10. B. P. Vollmayr-Lee and E. Luijten, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.031108 63, 031108 (2001).
11. S. A. Cannas, C. M. Lapilli, and D. A. Stariolo, Int. J. Mod. Phys. C IJMPEO 0129-1831 15, 115 (2004).
12. E. Luijten and H. W. J. BlÃte, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183195000265 6, 359 (1995).
13. K. Uzelac and Z. Glumac, Fiz. B FIZBE7 1330-0016 6, 133 (1997).
14. E. Bayong, H. T. Diep, and V. Dotsenko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.14 83, 14 (1999).
15. K. Binder and E. Luijten, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/S0010-4655(00)00015-1 127, 126 (2000).
16. K. Binder, E. Luijten, M. Mãller, N. B. Wilding, and H. W. J. BlÃte, Physica A PHYADX 0378-4371 10.1016/S0378-4371(00)00025-X 281, 112 (2000).
17. K. Binder and E. Luijten, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00127-7 344, 179 (2001).
18. K. Uzelac, Z. Glumac, and A. Anicic, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.037101 63, 037101 (2001).
19. S. Reynal and H. T. Diep, Comput. Phys. Commun. CPHCBZ 0010-4655 169, 243 (2005).
20. B. A. Berg, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183192000713 3, 1083 (1992).
21. Y. Iba, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183101001912 12, 623 (2001).
22. B. A. Berg, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/S0010-4655(02)00203-5 147, 52 (2002).
23. B. A. Berg and T. Neuhaus, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(91)91256-U 267, 249 (1991).
24. B. A. Berg and T. Neuhaus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.9 68, 9 (1992).
25. J.-S. Wang, T. K. Tay, and R. H. Swendsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.476 82, 476 (1999).
26. G. R. Smith and A. D. Bruce, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/23/015 28, 6623 (1995).
27. F. Wang and D. P. Landau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2050 86, 2050 (2001).
28. F. Wang and D. P. Landau, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.056101 64, 056101 (2001).
29. B. Hesselbo and R. B. Stinchcombe, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.2151 74, 2151 (1995).
30. S. Trebst, D. A. Huse, and M. Troyer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.046701 70, 046701 (2004).
31. Y. Wu, M. Koerner, L. Colonna-Romano, S. Trebst, H. Gould, J. Machta, and M. Troyer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.046704 72, 046704 (2005).
32. W. Janke and S. Kappler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.212 74, 212 (1995).
33. P. Dayal, S. Trebst, S. Wessel, D. Wãrtz, M. Troyer, S. Sabhapandit, and S. N. Coppersmith, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.097201 92, 097201 (2004).
34. C. Zhou and R. N. Bhatt, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.025701 72, 025701 (2005).
35. W. Janke and S. Kappler, Nucl. Phys. B (Proc. Suppl.) NPBSE7 0920-5632 42, 876 (1995).
36. W. Janke, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00014-4 254, 164 (1998).
37. M. S. Carroll, W. Janke, and S. Kappler, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1023283412473 90, 1277 (1998).
38. C. Yamaguchi and N. Kawashima, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.056710 65, 056710 (2003).
39. K. Rummukainen, Nucl. Phys. B (Proc. Suppl.) NPBSE7 0920-5632 390, 621 (1993).
40. M. Krech and E. Luijten, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.2058 61, 2058 (2000).
41. K. Uzelac and Z. Glumac, Physica A PHYADX 0378-4371 314, 448 (2002).
42. F. Niedermayer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2026 61, 2026 (1988).
43. F. Niedermayer, in Advances in Computer Simulation, Lectures Held at the EÃtvÃs Summer School in Budapest, Hungary, 1996, edited by, J. KertÃsz, and I. Kondor (Springer, Berlin, 1998).
44. J. Asikainen, A. Aharony, B. Mandelbrot, E. Rausch, and J.-P. Hov, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00247-7 34, 479 (2003).
45. W. Janke and A. M. J. Schakel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.036703 71, 036703 (2005).
46. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.1195 63, 1195 (1989).
47. B. A. Berg, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02189233 82, 323 (1996).
48. B. A. Berg, Fields Inst. Commun. 1069-5265 26, 1 (2000).
49. J. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.211 71, 211 (1993).
50. Q. Yan and J. J. de Pablo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.035701 90, 035701 (2003).
51. H. S. Chan and K. A. Dill, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.465277 99, 2116 (1993).
52. J.-S. Wang, Physica A PHYADX 0378-4371 10.1016/S0378-4371(00)00016-9 281, 147 (2000).
53. J.-S. Wang and R. H. Swendsen, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1013180330892 106, 245 (2002).
54. M. S. Shell, P. G. Debenedetti, and A. Z. Panagiotopoulos, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1615966 119, 9406 (2003).
55. T. Surungan, Y. Okabe, and Y. Tomita, J. Phys. A JPHAC5 0305-4470 37, 4219 (2004).
56. R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.86 58, 86 (1987).
57. J. Hoshen and R. Kopelman, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.14.3438 14, 3438 (1974).
58. E. Luijten, Computer Simulation Studies in Condensed-Matter Physics (Springer, Heidelberg, 2000), Vol. XII, pp. 86-99.
59. C. Borgs and W. Janke, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1992261 2, 2011 (1992).
60. E. Buddenoir and S. Wallon, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/26/13/009 26, 3045 (1993).
61. W. Janke, in Quantum Simulations of Complex Many-Body Systems: From Theory to Algorithms, edited by, J. Grotendorst, D. Marx, and, A. Muramatsu, (John Von Neumann Institute for Computing, Jãhlich, Proceedings of the Euro Winter School, 2002), Vol. 10 of NIC Series, pp. 423-445.
62. F. Y. Wu, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.54.235 54, 235 (1982).
63. W. Janke and T. Sauer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.3475 49, 3475 (1994).
64. S. Alder, S. Trebst, A. K. Hartmann, and M. Troyer, J. Stat. Mech.: Theory Exp. 1742-5468 (2004) P07008.
65. M. L. Guerra and J. D. Munoz, Int. J. Mod. Phys. C IJMPEO 0129-1831 15, 471 (2004).
66. D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge University Press, Cambridge, England, 2000).
67. W. Janke, B. A. Berg, and M. Katoot, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(92)90663-V 382, 649 (1992).
68. J. Lee and J. M. Kosterlitz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.3265 43, 3265 (1991).
69. Z. Glumac and K. Uzelac, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.4372 58, 4372 (1998).
70. Z. Glumac and K. Uzelac, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/26/20/013 26, 5267 (1993).
71. S. A. Cannas and A. C. N. de MagalhÃes, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/10/014 30, 3345 (1997).
72. J. L. Monroe, J. Phys. A JPHAC5 0305-4470 32, 7803 (1999).
73. E. Luijten and H. W. J. BlÃte, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.8945 56, 8945 (1997).
74. J. L. Monroe, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/49/005 31, 9809 (1998).
75. J. Lee and J. M. Kosterlitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.137 65, 137 (1990).
76. M. E. J. Newman and G. T. Barkema, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.393 53, 393 (1996).
77. R. H. Swendsen (private communication).
78. P. M. C. de Oliveira, T. J. P. Penna, and H. J. Herrmann, Braz. J. Phys. BJPHE6 0103-9733 10.1007/s100510050172 26, 677 (1996).