Percolation in one of q colors near criticality

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 14, 2005, Pages

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

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28744438386     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.144303     Document Type: Article

References (28)

1. M. F. Sykes and D. S. Gaunt, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/9/12/017 9, 2131 (1976).
2. A. Coniglio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62. 3054 62, 3054 (1989).
3. C. Vanderzande, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/25/2/008 25, L75 (1992).
4. P. J. M. Bastiaansen and H. J. F. Knops, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/6/007 30, 1791 (1997).
5. Y. Deng, H. W. J. Blöte, and B. Nienhuis, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.026114 69, 026114 (2004).
6. H.-O. Georgii, O. Häggström, and C. Maes, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, San Diego, 2001), Vol. 18, p. 1.
7. P. J. M. Bastiaansen and H. J. F. Knops, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/S0022-3697(97)00220-5 144303
8. and in Computational Statistical Physics From Billards to Monte-Carlo, edited by, K.-H. Hoffmann, and, M. Schreiber, (Springer, Berlin, 2002).
9. J. T. Chalker and P. D. Coddington, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/21/14/008 21, 2665 (1988).
10. P. W. Kasteleyn and C. M. Fortuin, J. Phys. Soc. Jpn. JUPSAU 0031-9015 46 (Suppl.), 11 (1969);
11. C. M. Fortuin and P. W. Kasteleyn, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(72)90045-6 57, 536 (1972).
12. R. B. Potts, Proc. Cambridge Philos. Soc. PCPSA4 0068-6735 48, 106 (1952).
13. H. Whitney, Ann. Math. ANMAAH 0003-486X 33, 688 (1932).
14. R. M. F. Houtappel, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(50)90130-3 16, 425 (1950).
15. M. P. Nightingale and H. W. J. Blöte, Physica A PHYADX 0378-4371 10.1016/S0378-4371(97)00605-5 251, 211 (1998).
16. E. Luijten and H. W. J. Blöte, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183195000265 6, 359 (1995).
17. K. Binder, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01293604 43, 119 (1981).
18. E. Luijten, H. W. J. Blöte, and K. Binder, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.4626 54, 4626 (1996).
19. H. W. J. Blöte, Y. M. M. Knops, and B. Nienhuis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.3440 68, 3440 (1992).
20. R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.86 58, 86 (1987).
21. U. Wolff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.1461 60, 1461 (1988).
22. L. Chayes and J. Machta, Physica A PHYADX 0378-4371 10.1016/S0378- 4371(97)00637-7 254, 477 (1998).
23. X. Qian, Y. Deng, and H. W. J. Blöte, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.016709 71, 016709 (2005).
24. H. W. J. Blöte and M. P. Nightingale, Physica A PHYADX 0378-4371 10.1016/0378-4371(82)90187-X 112, 405 (1982).
25. Y. Deng and H. W. J. Blöte, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.016117 71, 016117 (2005).
26. J. R. Heringa and H. W. J. Blöte, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.4976 57, 4976 (1998).
27. J. W. Essam, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, M. S. Green, (Academic, London, 1987), Vol. 2, p. 197.
28. Y. Deng and H. W. J. Blöte, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.056132 70, 056132 (2004).