Disorder-induced rounding of the phase transition in the large-q-state Potts model

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 5 1, 2004, Pages

  Mercaldo, M T ^a,b   D'Auriac, J Ch Anglès ^a   Igloi F ^c,d  

^a LABORATOIRE DE CRISTALLOGRAPHIE   (France)

^b UNIVERSITY OF SALERNO   (Italy)

^c WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

^d UNIVERSITY OF SZEGED   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMBINATORIAL MATHEMATICS; FERROMAGNETISM; FREE ENERGY; HIGH TEMPERATURE EFFECTS; MAGNETIC COUPLINGS; MAGNETIC MOMENTS; MATHEMATICAL MODELS; OPTIMIZATION; PHASE DIAGRAMS; POLYNOMIALS; THERMAL EXPANSION;

FERROMAGNETIC COUPLINGS; QUENCHED DISORDER; RANDOM QUANTUM SPIN CHAINS; TWO DIMENSIONAL LATTICES;

PHASE TRANSITIONS;

EID: 42749105133     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (46)

1. M. Aizenman and J. Wehr, Phys. Rev. Lett. 62, 2503 (1989); 64, 1311(E) (1990).
2. M. Aizenman and J. Wehr, Phys. Rev. Lett. 62, 2503 (1989); 64, 1311(E) (1990).
3. Y. Imry and M. Wortis, Phys. Rev. B 19, 3580 (1979); K. Hui and A. N. Berker, Phys. Rev. Lett. 62, 2507 (1989).
4. Y. Imry and M. Wortis, Phys. Rev. B 19, 3580 (1979); K. Hui and A. N. Berker, Phys. Rev. Lett. 62, 2507 (1989).
5. B. M. McCoy and T. T. Wu, Phys. Rev. 176, 631 (1968); 188, 982 (1969); B. M. McCoy ibid. 188, 1014 (1969).
6. B. M. McCoy and T. T. Wu, Phys. Rev. 176, 631 (1968); 188, 982 (1969); B. M. McCoy ibid. 188, 1014 (1969).
7. B. M. McCoy and T. T. Wu, Phys. Rev. 176, 631 (1968); 188, 982 (1969); B. M. McCoy ibid. 188, 1014 (1969).
8. For a review, see J. Cardy, Physica A 263, 215 (1999).
9. C. Chatelain, B. Berche, W. Janke, and P.-E. Berche, Phys. Rev. E 64, 036120 (2001); W. Janke, P.-E. Berche, C. Chatelain, and B. Berche, e-print cond-mat/0304642.
10. C. Chatelain, B. Berche, W. Janke, and P.-E. Berche, Phys. Rev. E 64, 036120 (2001); W. Janke, P.-E. Berche, C. Chatelain, and B. Berche, e-print cond-mat/0304642.
11. F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982).
12. R. J. Baxter, J. Phys. C 6, L445 (1973).
13. M. Picco, Phys. Rev. Lett. 79, 2998 (1997); C. Chatelain and B. Berche, ibid. 80, 1670 (1998); Phys. Rev. E 58, R6899 (1998); 60, 3853 (1999);
14. M. Picco, Phys. Rev. Lett. 79, 2998 (1997); C. Chatelain and B. Berche, ibid. 80, 1670 (1998); Phys. Rev. E 58, R6899 (1998); 60, 3853 (1999);
15. M. Picco, Phys. Rev. Lett. 79, 2998 (1997); C. Chatelain and B. Berche, ibid. 80, 1670 (1998); Phys. Rev. E 58, R6899 (1998); 60, 3853 (1999);
16. M. Picco, Phys. Rev. Lett. 79, 2998 (1997); C. Chatelain and B. Berche, ibid. 80, 1670 (1998); Phys. Rev. E 58, R6899 (1998); 60, 3853 (1999);
17. T. Olson and A. P. Young, Phys. Rev. B 60, 3428 (1999).
18. J. Cardy and J. L. Jacobsen, Phys. Rev. Lett. 79, 4063 (1997); J. L. Jacobsen and J. Cardy, Nucl. Phys. B 515, 701 (1998).
19. J. Cardy and J. L. Jacobsen, Phys. Rev. Lett. 79, 4063 (1997); J. L. Jacobsen and J. Cardy, Nucl. Phys. B 515, 701 (1998).
20. S. Chen, A. M. Ferrenberg, and D. P. Landau, Phys. Rev. Lett. 69, 1213 (1992);
21. Phys. Rev. E 52, 1377 (1995);
22. S. Wiseman and E. Domany, ibid. 51, 3074 (1995).
23. J. T. Chayes et al., Phys. Rev. Lett. 57, 2999 (1986).
24. P. W. Kasteleyn and C. M. Fortuin, J. Phys. Soc. Jpn. 26 (Suppl.) 11 (1969).
25. R. Juhász, H. Rieger, and F. Iglói, Phys. Rev. E 64, 056122 (2001).
26. J.-Ch. Angles d'Auriac et al., J. Phys. A 35, 6973 (2002).
27. J. L. Jacobsen and M. Picco, Phys. Rev. E 61, R13 (2000); M. Picco (unpublished).
28. J.-Ch. Anglès d'Auriac and F. Iglòi, Phys. Rev. Lett. 90, 190601 (2003).
29. D. S. Fisher, Phys. Rev. Lett. 69, 534 (1992); Phys. Rev. B 51, 6411 (1995).
30. D. S. Fisher, Phys. Rev. Lett. 69, 534 (1992); Phys. Rev. B 51, 6411 (1995).
31. M. Grötschel, L. Lovász, and A. Schrijver, Combinatorica 1, 169 (1981).
32. W. Kinzel and E. Domany, Phys. Rev. B 23, 3421 (1981).
33. Similar arguments have been used for the 2D random field Ising model by T. Emig and Th. Nattermann, Eur. Phys. J. B 8, 825 (1999); see also in Ref. [22].
34. J. Galambos, The Asymptotic Theory of Extreme Order Statistics (Wiley, New York, 1978).
35. E. T. Seppälä and M. J. Alava, Phys. Rev. E 63, 066109 (2001).
36. B. Nienhuis and N, Nauenberg, Phys. Rev. Lett. 35, 477 (1975); M. E. Fisher and A. N. Berker, Phys. Rev. B 26, 2507 (1982).
37. B. Nienhuis and N, Nauenberg, Phys. Rev. Lett. 35, 477 (1975); M. E. Fisher and A. N. Berker, Phys. Rev. B 26, 2507 (1982).
38. L. Turban and F. Iglói, Phys. Rev. B 66, 014440 (2002).
39. See cf. in D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor and Francis, London, 1992).
40. J. Kogut, Rev. Mod. Phys. 51, 659 (1979).
41. S. K. Ma, C. Dasgupta, and C.-K. Hu, Phys. Rev. Lett. 43, 1434 (1979);
42. C. Dasgupta and S. K. Ma, Phys. Rev. B 22, 1305 (1980).
43. T. Senthil and S. N. Majumdar, Phys. Rev. Lett. 76, 3001 (1996).
44. F. Igloi, R. Juhász, and P. Lajkó, Phys. Rev. Lett. 86, 1343 (2001).
45. O. Motrunich et al., Phys. Rev. B 61, 1160 2000).
46. F. Iglói and H. Rieger, Phys. Rev. B 57, 11 404 (1998).