Critical behavior of the geometrical spin clusters and interfaces in the two-dimensional thermalized bond Ising model

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2012, Issue 2, 2012, Pages

  Davatolhagh, S ^a   Moshfeghian, M ^a   Saberi, A A ^b,c  

^a SHIRAZ UNIVERSITY   (Iran)

^b UNIVERSITY OF COLOGNE   (Germany)

^c INSTITUTE FOR RESEARCH IN FUNDAMENTAL SCIENCES IPM   (Iran)

Author keywords

classical Monte Carlo simulations; critical exponents and amplitudes (theory); stochastic Loewner evolution

Indexed keywords

EID: 84857746888     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2012/02/P02015     Document Type: Article

References (29)

1. Coniglio A and Klein W 1980 J. Phys. A: Math. Gen. 13 2775
2. Fortunato S 2002 arXiv:cond-mat/0204366
3. Potts R B 1952 Proc. Camb. Phil. Soc. 48 106
4. Gamsa A and Cardy J 2007 J. Stat. Mech. P08020
5. Belavin A A, Polyacov A M and Zamolodchikov A B 1984 J. Stat. Phys. 34 763
6. Cardy J 1992 J. Phys. A: Math. Gen. 25 L201
7. Coniglio A 1989 Phys. Rev. Lett. 62 3054
8. Duplantier B 2003 J. Stat. Phys. 110 691
9. Nienhuis B and Cardy J 1987 Phase Transitions and Critical Phenomena vol 11 ed C Domb and J L Lebowitz (London: Academic)
10. Nienhuis B 1982 J. Phys. A: Math. Gen. 15 199
11. Schramm O 2000 Isr. J. Math. 118 221
12. Bauer M and Bernard D 2006 Phys. Rep. 432 115
13. Cardy J 2005 Ann. Phys., NY 318 81
14. Beffara V 2008 Ann. Probab. 36 1421
15. Smirnov S 2006 Proc. Int. Congr. Mathematicians vol 2 (Zurich: Eur. Math. Soc.) p1421
16. Davatolhagh S, Separdar L and Barati M 2008 Phys. Rev. E 78 021138
17. Thorpe M F and Beeman D 1976 Phys. Rev. B 14 188
18. Fortuin C M and Kasteleyn P W 1972 Physica 57 536
19. Davatolhagh S and Moshfeghian M 2010 Physica A 389 3349
20. Wolff U 1989 Phys. Rev. Lett. 62 361
21. Swendsen R H and Wang J S 1987 Phys. Rev. Lett. 58 86
22. Saberi A A 2009 J. Stat. Mech. P07030
23. Duplantier B 1990 Phys. Rev. Lett. 640 493
24. Wieland B and Wilson D B 2003 Phys. Rev. E 68 056101
25. Stauffer D and Aharony A 1994 Introduction to Percoltion Theory (London: Taylor and Francis)
26. Duplantier B 2000 Phys. Rev. Lett. 84 1363
27. Sykes M F and Gaunt D S 1976 J. Phys. A: Math. Gen. 9 2131
28. Janke W and Schakel A M J 2004 Nucl. Phys. B 700 385
29. Fisher M E 1964 J. Math. Phys. 5 944