Wang-Landau algorithm: A theoretical analysis of the saturation of the error

Journal of Chemical Physics

Volumn 127, Issue 18, 2007, Pages

  Belardinelli, R E ^a   Pereyra, V D ^a  

^a Universidad Nacional de Río Cuarto Consejo Nacional de Investigaciones Científicas y Técnicas   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; MATHEMATICAL MODELS; STATISTICAL METHODS;

DENSITY OF STATES; REFINEMENT PARAMETERS; WANG-LANDAU ALGORITHMS;

SATURATION (MATERIALS COMPOSITION);

EID: 36148982687     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2803061     Document Type: Article

References (49)

1. M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics (Oxford University Press, Oxford, 1999).
2. D. P. Landau and K. Binder, A Guide to Monte Carlo Methods in Statistical Physics (Cambridge University Press, Cambridge, 2000).
3. N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
4. R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.58.86 58, 86 (1987); U. Wolff, Phys. Rev. Lett. 62, 361 (1989).
5. R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.58.86 58, 86 (1987); U. Wolff, Phys. Rev. Lett. 62, 361 (1989).
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. J. Lee, Phys. Rev. Lett. 71, 211 (1993).
17. P. M. C. Oliveira, T. J. P. Penna, and H. J. Herrmann, Braz. J. Phys. 26, 677 (1996).
18. P. M. C. Oliveira, T. J. P. Penna, and H. J. Herrmann, Eur. Phys. J. B 1, 205 (1998).
19. P. M. C. Oliveira, Eur. Phys. J. B 6, 111 (1998).
20. B. A. Berg and W. Janke, Phys. Rev. Lett. 98, 040602 (2007).
21. F. Wang and D. P. Landau, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett. 86.2050 86, 2050 (2001); F. Wang and D. P. Landau, Phys. Rev. E 1063-651X 10.1103/PhysRevE.64.056101 64, 056101 (2001); D. P. Landau and F. Wang, Comput. Phys. Commun. 147, 674 (2002).
22. F. Wang and D. P. Landau, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett. 86.2050 86, 2050 (2001); F. Wang and D. P. Landau, Phys. Rev. E 1063-651X 10.1103/PhysRevE.64.056101 64, 056101 (2001); D. P. Landau and F. Wang, Comput. Phys. Commun. 147, 674 (2002).
23. F. Wang and D. P. Landau, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett. 86.2050 86, 2050 (2001); F. Wang and D. P. Landau, Phys. Rev. E 1063-651X 10.1103/PhysRevE.64.056101 64, 056101 (2001); D. P. Landau and F. Wang, Comput. Phys. Commun. 147, 674 (2002).
24. N. Rathore and J. J. de Pablo, J. Chem. Phys. 0021-9606 10.1063/1.1463059 116, 7225 (2002); N. Rathore, T. A. Knotts, and J. J. de Pablo, J. Chem. Phys. 118, 4285 (2001).
25. N. Rathore and J. J. de Pablo, J. Chem. Phys. 0021-9606 10.1063/1.1463059 116, 7225 (2002); N. Rathore, T. A. Knotts, and J. J. de Pablo, J. Chem. Phys. 118, 4285 (2001).
26. Y. W. Li, T. Wüst, D. P. Landau, and H. Q. Lin, Comput. Phys. Commun. 177, 524 (2007).
27. Q. Yan, R. Faller, and J. J. de Pablo, J. Chem. Phys. 116, 8745 (2002).
28. M. Chopra and J. J. de Pablo, J. Chem. Phys. 0021-9606 10.1063/1.2178319 124, 114102 (2006); E. B. Kim, R. Feller, Q. Yan, N. L. Abbott, and J. J. de Pablo, J. Chem. Phys. 0021-9606 10.1063/1.1508365 117, 7781 (2002); A. Ethan and J. J. de Pablo, J. Chem. Phys. 122, 124109 (2005).
29. M. Chopra and J. J. de Pablo, J. Chem. Phys. 0021-9606 10.1063/1.2178319 124, 114102 (2006); E. B. Kim, R. Feller, Q. Yan, N. L. Abbott, and J. J. de Pablo, J. Chem. Phys. 0021-9606 10.1063/1.1508365 117, 7781 (2002); A. Ethan and J. J. de Pablo, J. Chem. Phys. 122, 124109 (2005).
30. M. Chopra and J. J. de Pablo, J. Chem. Phys. 0021-9606 10.1063/1.2178319 124, 114102 (2006); E. B. Kim, R. Feller, Q. Yan, N. L. Abbott, and J. J. de Pablo, J. Chem. Phys. 0021-9606 10.1063/1.1508365 117, 7781 (2002); A. Ethan and J. J. de Pablo, J. Chem. Phys. 122, 124109 (2005).
31. M. S. Shell, P. G. Debenedetti, and A. Z. Panagiotopoulus, Phys. Rev. E 66, 056703 (2002).
32. C. Yamaguchi and Y. Okabe, J. Phys. A 34, 8781 (2001).
33. Y. Okabe, Y. Tomita, and C. Yamaguchi, Comput. Phys. Commun. 146, 63 (2002).
34. E. A. Mastny and J. J. de Pablo, J. Chem. Phys. 122, 124109 (2005).
35. P. Poulain, F. Calvo, R. Antoine, M. Broyer, and P. Dugourd, Phys. Rev. E 73, 056704 (2006).
36. B. J. Schulz, K. Binder, and M. Müller, Int. J. Mod. Phys. C 13, 477 (2002).
37. D. Jayasri, V. S. S. Sastry, and K. P. N. Murthy, Phys. Rev. E 72, 036702 (2005).
38. C. Zhou and R. N. Bhatt, Phys. Rev. E 72, 025701 (R) (2005).
39. A. Tröster and C. Dellago, Phys. Rev. E 71, 066705 (2005).
40. C. Zhou, T. C. Schulthess, S. Torbrügge, and D. P. Landau, Phys. Rev. Lett. 96, 120201 (2006).
41. S. Trebst, D. A. Huse, and M. Troyer, Phys. Rev. E 70, 056701 (2004).
42. P. Dayal, S. Trebst, S. Wessel, D. Würtz, M. Troyer, S. Sabhapandit, and S. N. Coppersmith, Phys. Rev. Lett. 92, 097201 (2004).
43. H. K. Lee, Y. Okabe, and D. P. Landau, Comput. Phys. Commun. 175, 36 (2006).
44. D. Earl and M. Deem, J. Phys. Chem. B 109, 6701 (2005).
45. B. A. Berg, Comput. Phys. Commun. 153, 397 (2003).
46. D. P. Landau, S.-H. Tsai, and M. Exler, Am. J. Phys. 72, 1294 (2004).
47. A. Malakis, S. S. Martinos, I. A. Hadjiagapiou, and A. S. Peratzakis, Int. J. Mod. Phys. C 15, 729 (2004).
48. R. E. Belardinelli and V. D. Pereyra, Phys. Rev. E 75, 046701 (2007).
49. P. D. Beale, Phys. Rev. Lett. 76, 78 (1996).