Dynamic critical behavior of the Swendsen-Wang algorithm: The two-dimensional three-state potts model revisited

Journal of Statistical Physics

Volumn 87, Issue 1-2, 1997, Pages 1-36

  Salas, Jesús ^a,b   Sokal, Alan D ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

^b UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Cluster algorithm; Dynamic critical phenomena; Li Sokal bound; Monte Carlo; Potts model; Swendsen Wang algorithm

Indexed keywords

EID: 0031115675     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02181478     Document Type: Article

References (37)

1. K. Binder, ed., Monte Carlo Methods in Statistical Physics (Springer-Verlag, Berlin, 1978).
2. K. Binder, ed., Applications of the Monte Carlo Method in Statistical Physics (Springer-Verlag, Berlin, 1987).
3. K. Binder, ed., The Monte Carlo Method in Condensed Matter Physics (Springer-Verlag, Berlin, 1992).
4. A. D. Sokal, Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms, Cours de Troisième Cycle de la Physique en Suisse Romande, Lausanne (June 1989).
5. U. Wolff, Nucl. Phys. B (Proc. Suppl.) 17:93 (1990).
6. A. D. Sokal, Nucl. Phys. B (Proc. Suppl.) 20:55 (1991).
7. R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 58:86 (1987).
8. D. W. Heermann and A. N. Burkitt, Physica A 162:210 (1990).
9. C. F. Baillie and P. D. Coddington, Phys. Rev. B 43:10617 (1991).
10. C. F. Baillie and P. D. Coddington, Phys. Rev. Lett. 68:962 (1992); and private communication.
11. X.-J. Li and A. D. Sokal, Phys. Rev. Lett. 63:827 (1989).
12. J. Salas and A. D. Sokal, Nucl. Phys. B (Proc. Suppl.) 47:792 (1996).
13. J. Salas and A. D. Sokal, J. Stat. Phys. 85:297 (1996).
14. J. Salas and A. D. Sokal, Logarithmic corrections and finite-size scaling in the two-dimensional 4-state Potts model, J. Stat. Phys. (to appear).
15. W. Klein, T. Ray, and P. Tamayo, Phys. Rev. Lett. 63:827 (1989).
16. T. Ray, P. Tamayo, and W. Klein, Phys. Rev. A 39:5949 (1989).
17. S. Wiseman and E. Domany, Phys. Rev. E 48:4080 (1993).
18. J. Ashkin and J. Teller, Phys. Rev. 64:178 (1943).
19. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, New York, 1982).
20. A. E. Ferdinand and M. E. Fisher, Phys. Rev. 185:832 (1969).
21. S. Alexander, Phys. Lett. A 54:353 (1975).
22. E. Domany and E. K. Riedel, J. Appl. Phys. 49:1315 (1978).
23. M. Nauenberg and D. J. Scalapino, Phys. Rev. Lett. 44:837 (1980).
24. J. L. Cardy, M. Nauenberg, and D. J. Scalapino, Phys. Rev. B 22:2560 (1980).
25. J. L. Black and V. J. Emery, Phys. Rev. B 23:429 (1981).
26. R. G. Edwards and A. D. Sokal, Phys. Rev. D 38:2009 (1988).
27. P. W. Kasteleyn and C. M. Fortuin, J. Phys. Soc. Japan 26(Suppl.):11 (1969).
28. C. M. Fortuin and P. W. Kasteleyn, Physica 57:536 (1972).
29. C. M. Fortuin, Physica 58:393 (1972); 59:545 (1972).
30. C. M. Fortuin, Physica 58:393 (1972); 59:545 (1972).
31. T. W. Anderson, The Statistical Analysis of Time Series (Wiley, New York, 1971).
32. M. B. Priestley, Spectral Analysis and Time Series, 2 Vols. (Academic Press, London, 1981).
33. N. Madras and A. D. Sokal, J. Stat. Phys. 50:109 (1988).
34. A. D. Sokal, Unpublished.
35. B. Nienhuis, J. Phys. A: Math. Gen. 15:199 (1982).
36. V. S. Dotsenko, Nucl. Phys. B 235[FS11]:54 (1984).
37. V. Privman, In Finite Size Scaling and Numerical Simulation of Statistical Systems, V. Privman, ed. (World Scientific, Singapore, 1990).