Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram

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

Volumn 64, Issue 5, 2001, Pages 16-

  Wang, Fugao ^a   Landau, D P ^a  

^a UNIVERSITY OF GEORGIA   (United States)

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Indexed keywords

EID: 85035263849     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.64.056101     Document Type: Article

References (66)

1. D.P. Landau and K. Binder, A Guide to Monte Carlo Methods in Statistical Physics (Cambridge University Press, Cambridge, 2000).
2. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.M. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
3. R.H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 58, 86 (1987).
4. U. Wolff, Phys. Rev. Lett. 62, 361 (1989).
5. P.D. Beale, Phys. Rev. Lett. 76, 78 (1996).
6. B.A. Berg and T. Neuhaus, Phys. Rev. Lett. 68, 9 (1992).
7. B.A. Berg and T. Celik, Phys. Rev. Lett. 69, 2292 (1992).
8. B.A. Berg and T. Neuhaus, Phys. Lett. B 267, 249 (1991).
9. W. Janke and S. Kappler, Phys. Rev. Lett. 74, 212 (1995).
10. W. Janke, Int. J. Mod. Phys. C 3, 375 (1992).
11. B.A. Berg, U. Hansmann, and T. Neuhaus, Phys. Rev. B 47, 497 (1993).
12. W. Janke, Physica A 254, 164 (1998).
13. B.A. Berg and W. Janke, Phys. Rev. Lett. 80, 4771 (1998).
14. B.A. Berg, Nucl. Phys. B 63, 982 (1998).
15. B.A. Berg, T. Celik, and U. Hansmann, Europhys. Lett. 22, 63 (1993).
16. N. Hatano and J.E. Gubernatis, in Computer Simulation Studies in Condensed Matter Physics XII, edited by D.P. Landau, S.P. Lewis, and H.-B. Schuttler (Springer, Berlin, 2000).
17. J. Lee, Phys. Rev. Lett. 71, 211 (1993).
18. P.M.C. de Oliveira, T.J.P. Penna, and H.J. Herrmann, Braz. J. Phys. 26, 677 (1996).
19. P.M.C. de Oliveira, T.J.P. Penna, and H.J. Herrmann, Eur. Phys. J. B 1, 205 (1998).
20. P.M.C. de Oliveira, Eur. Phys. J. B 6, 111 (1998).
21. J.S. Wang and L.W. Lee, Comput. Phys. Commun. 127, 131 (2000).
22. P.M.C. de Oliveira (private communication).
23. P.M.C. de Oliveira, Braz. J. Phys. 30, 4659 (2000).
24. A.M. Ferrenberg and R.H. Swendsen, Phys. Rev. Lett. 61, 2635 (1988);
25. Phys. Rev. Lett.A.M. FerrenbergR.H. Swendsen63, 1195 (1989).
26. A.R. Lima, P.M.C. de Oliveira, and T.J.P. Penna, J. Stat. Phys. 99, 691 (2000).
27. F. Wang and D.P. Landau, Phys. Rev. Lett. 86, 2050 (2001).
28. A. Hüller, e-print cond-mat/0011379.
29. U. Hansmann, Phys. Rev. E 56, 6200 (1997).
30. U. Hansmann and Y. Okamoto, Phys. Rev. E 54, 5863 (1996).
31. W. Janke, B.A. Berg, and A. Billoire, Comput. Phys. Commun. 121-122, 176 (1999).
32. F.Y. Wu, Rev. Mod. Phys. 54, 235 (1982).
33. K. Binder, K. Vollmayr, H.P. Deutsch, J.D. Reger, M. Scheucher, and D.P. Landau, Int. J. Mod. Phys. C 5, 1025 (1992).
34. M.S.S. Challa, D.P. Landau, and K. Binder, Phys. Rev. B 34, 1841 (1986).
35. T. Neuhaus (private communication).
36. J.S. Wang, T.K. Tay, and R.H. Swendsen, Phys. Rev. Lett. 82, 476 (1999).
37. R.H. Swendsen, J.S. Wang, S.T. Li, B. Diggs, C. Genovese, and J.B. Kadane, Int. J. Mod. Phys. C 10, 1563 (1999).
38. D.P. Landau, Phys. Rev. B 13, 2997 (1976).
39. A.E. Ferdinand and M.E. Fisher, Phys. Rev. 185, 832 (1969).
40. J.S. Wang, Eur. Phys. J. B 8, 287 (1998).
41. K. Binder and A.P. Young, Rev. Mod. Phys. 58, 801 (1986).
42. S.F. Edwards and P.W. Anderson, J. Phys. F: Met. Phys. 5, 965 (1975).
43. A.T. Ogielski and I. Morgenstern, Phys. Rev. Lett. 54, 928 (1985).
44. F. Wang, N. Kawashima, and M. Suzuki, Europhys. Lett. 33, 165 (1996).
45. F. Wang, N. Kawashima, and M. Suzuki, Int. J. Mod. Phys. C 7, 573 (1996).
46. R.N. Bhatt and A.P. Young, Phys. Rev. Lett. 54, 924 (1985).
47. N. Kawashima and A.P. Young, Phys. Rev. B 53, R484 (1996).
48. M. Palassini and A.P. Young, Phys. Rev. Lett. 82, 5128 (1999).
49. M. Palassini and A.P. Young, Phys. Rev. Lett. 83, 5126 (1999).
50. M. Palassini and A.P. Young, Phys. Rev. Lett. 85, 3017 (2000).
51. E. Marinari, Phys. Rev. Lett. 82, 434 (1999).
52. M.A. Moore, H. Bokil, and B. Drossel, Phys. Rev. Lett. 81, 4252 (1999).
53. J. Houdayer and O.C. Martin, Phys. Rev. Lett. 82, 4934 (1999).
54. I. Morgenstern and K. Binder, Phys. Rev. B 22, 288 (1980).
55. K. Binder, in Fundamental Problems in Statistical Mechanics V, edited by E.G.D. Cohen (North-Holland, Amsterdam, 1980).
56. E. Marinari, G. Parisi, and F. Ritort, J. Phys. A 27, 2687 (1994).
57. E. Marinari, G. Parisi, F. Ricci-Tersenghi, and F. Zuliani, e-print cond-mat/0011039.
58. G. Parisi, Phys. Rev. Lett. 43, 1754 (1979);
59. Phys. Rev. Lett.G. Parisi50, 1946 (1983).
60. D.S. Fisher and D.A. Huse, Phys. Rev. B 38, 386 (1988).
61. E. Marinari and G. Parisi, Europhys. Lett. 19, 451 (1992).
62. K. Hukushima and K. Nemoto, J. Phys. Soc. Jpn. 65, 1604 (1996).
63. K. Hukushima, in Computer Simulation Studies in Condensed Matter Physics XIII, edited by D.P. Landau, S.P. Lewis, and H.-B. Schuttler (Springer, Berlin, 2000).
64. N. Hatano and J.E. Gubernatis, e-print cond-mat/0008115.
65. G. Bhanot, R. Salvador, S. Black, P. Carter, and R. Toral, Phys. Rev. Lett. 59, 803 (1987).
66. R. Salazar and R. Toral, Phys. Rev. Lett. 83, 4233 (1999).