Strong violation of critical phenomena universality: Wang-Landau study of the two-dimensional Blume-Capel model under bond randomness

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

Volumn 79, Issue 1, 2009, Pages

  Malakis, A ^a   Berker, A Nihat ^b,c,d   Hadjiagapiou, I A ^a   Fytas, N G ^a  

^a UNIVERSITY OF ATHENS   (Greece)

^b KOÇ UNIVERSITY   (Turkey)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^d SCIENTIFIC AND TECHNOLOGICAL RESEARCH COUNCIL OF TURKEY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

FERROMAGNETIC MATERIALS; FERROMAGNETISM; SUPERCONDUCTING TRANSITION TEMPERATURE; TWO DIMENSIONAL;

BLUME-CAPEL MODELS; BOND RANDOMNESS; CRITICAL EXPONENTS; CRITICAL PHENOMENON; ENTROPIC SAMPLINGS; FIRST ORDERS; FIRST-ORDER TRANSITIONS; LATTICE SIZES; LOGARITHMIC CORRECTIONS; MICRO SEGREGATIONS; NUMERICAL STRATEGIES; PARAMAGNETIC PHASIS; PHASE TRANSITION TEMPERATURES; QUENCHED DISORDERS; RANDOM BONDS; SECOND ORDERS; SECOND-ORDER PHASE TRANSITIONS; SECOND-ORDER TRANSITIONS; SPIN DENSITIES; SQUARE LATTICES; TWO STAGES; TWO-DIMENSIONAL SYSTEMS; UNIVERSALITY CLASS; UNIVERSALITY PRINCIPLES; WANG-LANDAU ALGORITHMS;

PHASE TRANSITIONS;

EID: 60749108992     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.011125     Document Type: Article

References (73)

1. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, Oxford, 1971).
2. K. G. Wilson, Phys. Rev. B 4, 3174 (1971); 10.1103/PhysRevB.4.3174
3. K. G. Wilson, Phys. Rev. B 4, 3184 (1971). 10.1103/PhysRevB.4.3184
4. R. J. Baxter, Ann. Phys. 70, 193 (1970).
5. J. Ashkin and E. Teller, Phys. Rev. 64, 178 (1943). 10.1103/PhysRev.64. 178
6. A. B. Harris, J. Phys. C 7, 1671 (1974). 10.1088/0022-3719/7/9/009
7. A. N. Berker, Phys. Rev. B 42, 8640 (1990). 10.1103/PhysRevB.42.8640
8. M. Aizenman and J. Wehr, Phys. Rev. Lett. 62, 2503 (1989); 10.1103/PhysRevLett.62.2503
9. M. Aizenman and J. Wehr, Phys. Rev. Lett. 64, 1311 (E) (1990). 10.1103/PhysRevLett.64.1311
10. K. Hui and A. N. Berker, Phys. Rev. Lett. 62, 2507 (1989); 10.1103/PhysRevLett.62.2507
11. K. Hui and A. N. Berker, Phys. Rev. Lett. 63, 2433 (E) (1989). 10.1103/PhysRevLett.63.2433
12. A. N. Berker, Physica A 194, 72 (1993). 10.1016/0378-4371(93)90341-Z
13. S. Chen, A. M. Ferrenberg, and D. P. Landau, Phys. Rev. Lett. 69, 1213 (1992). 10.1103/PhysRevLett.69.1213
14. S. Chen, A. M. Ferrenberg, and D. P. Landau, Phys. Rev. E 52, 1377 (1995). 10.1103/PhysRevE.52.1377
15. A. Falicov and A. N. Berker, Phys. Rev. Lett. 76, 4380 (1996). 10.1103/PhysRevLett.76.4380
16. M. Suzuki, Prog. Theor. Phys. 51, 1992 (1974). 10.1143/PTP.51.1992
17. J. D. Gunton and T. Niemeijer, Phys. Rev. B 11, 567 (1975). 10.1103/PhysRevB.11.567
18. M. Blume, Phys. Rev. 141, 517 (1966). 10.1103/PhysRev.141.517
19. H. W. Capel, Physica (Utrecht) 32, 966 (1966); 10.1016/0031-8914(66) 90027-9
20. H. W. Capel, Physica (Utrecht) 33, 295 (1967); 10.1016/0031-8914(67) 90167-X
21. H. W. Capel, Physica (Utrecht) 37, 423 (1967). 10.1016/0031-8914(67) 90198-X
22. N. G. Fytas, A. Malakis, and I. A. Hadjiagapiou, J. Stat. Mech.: Theory Exp. (2008) P11009. 10.1088/1742-5468/2008/11/P11009
23. N. G. Fytas, A. Malakis, and K. Eftaxias, J. Stat. Mech.: Theory Exp. (2008) P03015. 10.1088/1742-5468/2008/03/P03015
24. F. Wang and D. P. Landau, Phys. Rev. Lett. 86, 2050 (2001). 10.1103/PhysRevLett.86.2050
25. F. Wang and D. P. Landau, Phys. Rev. E 64, 056101 (2001). 10.1103/PhysRevE.64.056101
26. A. Malakis, A. Peratzakis, and N. G. Fytas, Phys. Rev. E 70, 066128 (2004). 10.1103/PhysRevE.70.066128
27. A. Malakis, S. S. Martinos, I. A. Hadjiagapiou, N. G. Fytas, and P. Kalozoumis, Phys. Rev. E 72, 066120 (2005). 10.1103/PhysRevE.72.066120
28. R. E. Belardinelli and V. D. Pereyra, Phys. Rev. E 75, 046701 (2007). 10.1103/PhysRevE.75.046701
29. D. P. Landau and R. H. Swendsen, Phys. Rev. Lett. 46, 1437 (1981). 10.1103/PhysRevLett.46.1437
30. D. P. Landau and R. H. Swendsen, Phys. Rev. B 33, 7700 (1986). 10.1103/PhysRevB.33.7700
31. P. D. Beale, Phys. Rev. B 33, 1717 (1986). 10.1103/PhysRevB.33.1717
32. J. C. Xavier, F. C. Alcaraz, D. Pena Lara, and J. A. Plascak, Phys. Rev. B 57, 11575 (1998). 10.1103/PhysRevB.57.11575
33. C. J. Silva, A. A. Caparica, and J. A. Plascak, Phys. Rev. E 73, 036702 (2006). 10.1103/PhysRevE.73.036702
34. M. S. S. Challa, D. P. Landau, and K. Binder, Phys. Rev. B 34, 1841 (1986). 10.1103/PhysRevB.34.1841
35. J. Lee and J. M. Kosterlitz, Phys. Rev. Lett. 65, 137 (1990). 10.1103/PhysRevLett.65.137
36. J. Lee and J. M. Kosterlitz, Phys. Rev. B 43, 3265 (1991). 10.1103/PhysRevB.43.3265
37. C. Borgs and W. Janke, Phys. Rev. Lett. 68, 1738 (1992). 10.1103/PhysRevLett.68.1738
38. W. Janke, Phys. Rev. B 47, 14757 (1993). 10.1103/PhysRevB.47.14757
39. A. Malakis, N. G. Fytas, and P. Kalozoumis, Physica A 383, 351 (2007). 10.1016/j.physa.2007.04.051
40. M. E. Fisher and A. N. Berker, Phys. Rev. B 26, 2507 (1982). 10.1103/PhysRevB.26.2507
41. K. Binder and D. P. Landau, Phys. Rev. B 30, 1477 (1984). 10.1103/PhysRevB.30.1477
42. K. Binder, Rep. Prog. Phys. 50, 783 (1987). 10.1088/0034-4885/50/7/001
43. A. M. Ferrenberg and D. P. Landau, Phys. Rev. B 44, 5081 (1991). 10.1103/PhysRevB.44.5081
44. J. T. Chayes, L. Chayes, D. S. Fisher, and T. Spencer, Phys. Rev. Lett. 57, 2999 (1986). 10.1103/PhysRevLett.57.2999
45. G. Grinstein and A. Luther, Phys. Rev. B 13, 1329 (1976). 10.1103/PhysRevB.13.1329
46. R. Fisch, J. Stat. Phys. 18, 111 (1978). 10.1007/BF01014302
47. V. S. Dotsenko and V. S. Dotsenko, JETP Lett. 33, 37 (1981).
48. B. N. Shalaev, Sov. Phys. Solid State 26, 1811 (1984).
49. R. Shankar, Phys. Rev. Lett. 58, 2466 (1987). 10.1103/PhysRevLett.58.2466
50. A. W. W. Ludwig, Nucl. Phys. B 285, 97 (1987). 10.1016/0550-3213(87) 90330-0
51. J.-S. Wang, W. Selke, V. S. Dotsenko, and V. B. Andreichenko, Physica A 164, 221 (1990). 10.1016/0378-4371(90)90196-Y
52. J.-K. Kim and A. Patrascioiu, Phys. Rev. Lett. 72, 2785 (1994). 10.1103/PhysRevLett.72.2785
53. V. Dotsenko, M. Picco, and P. Pujol, Nucl. Phys. B 455, 701 (1995). 10.1016/0550-3213(95)00534-Y
54. F. D. A. Aarão Reis, S. L. A. de Queiroz, and R. R. dos Santos, Phys. Rev. B 54, R9616 (1996). 10.1103/PhysRevB.54.R9616
55. H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, and J. J. Ruiz-Lorenzo, J. Phys. A 30, 8379 (1997). 10.1088/0305-4470/30/24/006
56. W. Selke, L. N. Shchur, and O. A. Vasilyev, Physica A 259, 388 (1998). 10.1016/S0378-4371(98)00274-X
57. G. Mazzeo and R. Kühn, Phys. Rev. E 60, 3823 (1999). 10.1103/PhysRevE.60.3823
58. P. H. L. Martins and J. A. Plascak, Phys. Rev. E 76, 012102 (2007). 10.1103/PhysRevE.76.012102
59. I. A. Hadjiagapiou, A. Malakis, and S. S. Martinos, Physica A 387, 2256 (2008). 10.1016/j.physa.2007.12.007
60. M. Hasenbusch, F. P. Toldin, A. Pelissetto, and E. Vicari, Phys. Rev. E 78, 011110 (2008). 10.1103/PhysRevE.78.011110
61. N. G. Fytas, A. Malakis, and I. Georgiou, J. Stat. Mech.: Theory Exp. (2008) L07001. 10.1088/1742-5468/2008/07/L07001
62. J.-K. Kim, Phys. Rev. B 53, 3388 (1996). 10.1103/PhysRevB.53.3388
63. R. B. Griffiths, Phys. Rev. Lett. 23, 17 (1969). 10.1103/PhysRevLett.23. 17
64. A. Aharony and A. B. Harris, Phys. Rev. Lett. 77, 3700 (1996). 10.1103/PhysRevLett.77.3700
65. S. Wiseman and E. Domany, Phys. Rev. E 52, 3469 (1995). 10.1103/PhysRevE.52.3469
66. S. Wiseman and E. Domany, Phys. Rev. Lett. 81, 22 (1998). 10.1103/PhysRevLett.81.22
67. S. Wiseman and E. Domany, Phys. Rev. E 58, 2938 (1998). 10.1103/PhysRevE.58.2938
68. N. G. Fytas and A. Malakis, e-print arXiv:0810.5438.
69. D. S. Fisher, Phys. Rev. B 51, 6411 (1995). 10.1103/PhysRevB.51.6411
70. V. Privman and M. E. Fisher, J. Stat. Phys. 33, 385 (1983). 10.1007/BF01009803
71. D. A. Huse and D. S. Fisher, Phys. Rev. B 35, 6841 (1987). 10.1103/PhysRevB.35.6841
72. C. N. Kaplan and A. N. Berker, Phys. Rev. Lett. 100, 027204 (2008). 10.1103/PhysRevLett.100.027204
73. V. O. Özçelik and A. N. Berker, Phys. Rev. E 78, 031104 (2008). 10.1103/PhysRevE.78.031104