Percolation in a random environment

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

Volumn 66, Issue 5, 2002, Pages 7-

  Juhász, Róbert ^a,b   Iglói, Ferenc ^a,b,c  

^a UNIVERSITY OF SZEGED   (Hungary)

^b WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

^c INSTITUT JEAN LAMOUR   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MAGNETIC ANISOTROPY; MAGNETIZATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; SPECIFIC HEAT;

ANISOTROPY EXPONENTS; ORDER-PARAMETER EXPONENTS; POTTS MODEL; STRONG DISORDER FIXED POINT (SDRG);

RANDOM PROCESSES;

ARTICLE;

EID: 41349113538     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.056113     Document Type: Article

References (35)

1. For a review see, Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor and Francis, London, 1992).
2. P.W. Kasteleyn and C.M. Fortuin, J. Phys. Soc. Jpn. 46(Suppl.), 11 (1969).
3. J. L. Cardy, Fluctuating Geometries in Statistical Mechanics and Field Theory, Les Houches Summer School (North-Holland, Amsterdam, 1996).
4. J.L. Cardy and R.M. Ziff, e-print cond-mat/0205404.
5. A.B. Harris, J. Phys. C 7, 1671 (1974).
6. A. Weinrib and B.I. Halperin, Phys. Rev. B 27, 413 (1983).
7. W. Kinzel, in Percolation Structures and Processes, edited by G. Deutscher, R. Zallen, and J. Adler, Ann. Isr. Phys. Soc. Vol. 5 (Adam Hilger, Bristol, 1983), p. 425.
8. M. Sahimi, Applications of Percolation Theory (Taylor and Francis, London, 1994).
9. M. Sahimi and D. Stauffer, Chem. Eng. Sci. 46, 2225 (1991);
10. A. Hansen, Transp. Porous Media 11, 45 (1993).
11. B.M. McCoy and T.T. Wu, Phys. Rev. Lett. 23, 383 (1968).
12. D. Boyanovsky and J.L. Cardy, Phys. Rev. B 26, 154 (1982).
13. S.K. Ma, C. Dasgupta, and C.-K. Hu, Phys. Rev. Lett. 43, 1434 (1979);
14. C. Dasgupta and S.K. Ma, Phys. Rev. B 22, 1305 (1980).
15. D.S. Fisher, Physica A 263, 222 (1999).
16. D.S. Fisher, Phys. Rev. Lett. 69, 534 (1992);
17. D.S. FisherPhys. Rev. B 51, 6411 (1995).
18. F. Iglói, Phys. Rev. B 65, 064416 (2002).
19. T. Senthil and S.N. Majumdar, Phys. Rev. Lett. 76, 3001 (1996).
20. D.S. Fisher, Phys. Rev. B 50, 3799 (1994).
21. R.A. Hyman and K. Yang, Phys. Rev. Lett. 78, 1783 (1997);
22. Phys. Rev. Lett.C. Monthus, O. Golinelli, and Th. Jolicoeur, 79, 3254 (1997).
23. R. Melin, Y.-C. Lin, P. Lajkó, H. Rieger, and F. Iglói, Phys. Rev. B 65, 104415 (2002).
24. J. Hooyberghs, F. Iglói, and C. Vanderzande, e-print cond-mat/0203610.
25. E. Carlon, P. Lajkó, and F. Iglói, Phys. Rev. Lett. 87, 277201 (2001).
26. W. Kinzel and E. Domany, Phys. Rev. B 23, 3421 (1981).
27. K. Binder and L.S. Wang, J. Stat. Phys. 55, 87 (1989).
28. S. Smirnov and W. Werner, Math. Res. Lett. 8, 720 (2001).
29. F. Iglói and H. Rieger, Phys. Rev. B 57, 11404 (1998).
30. H. Rieger and F. Iglói, Europhys. Lett. 45, 673 (1999).
31. D.S. Fisher, P. Le Doussal, and C. Monthus, Phys. Rev. Lett. 80, 3539 (1998).
32. A.P. Young and H. Rieger, Phys. Rev. B 53, 8486 (1996).
33. J. Hoshen and R. Kopelman, Phys. Rev. B 14, 3428 (1976).
34. J. Kogut, Rev. Mod. Phys. 51, 659 (1979).
35. See, e.g., L. Turban and F. Iglói, Phys. Rev. B 66, 014440 (2002).