Scaling analysis of the site-diluted Ising model in two dimensions

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

Volumn 78, Issue 3, 2008, Pages

  Kenna, R ^a   Ruiz Lorenzo, J J ^b  

^a Institute for Clean Growth and Future Mobility   (United Kingdom)

^b UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ISING MODEL;

DILUTED ISING MODEL; HIGH-ACCURACY; LEE-YANG ZEROS; LOGARITHMIC CORRECTIONS; MAGNETIC EXPONENTS; SCALIN G ANALYSIS; SCALING BEHAVIORS; SCALING RELATIONS; TWO DIMENSIONS;

MODAL ANALYSIS;

EID: 53449083844     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.031134     Document Type: Article

References (68)

1. A. B. Harris, J. Phys. C JPSOAW 0022-3719 7, 1661 (1974).
2. C. N. Yang and T. D. Lee, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.87.404 87, 404 (1952);
3. T. D. Lee and C. N. Yang Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.87. 410 87, 410 (1952).
4. J. J. Ruiz-Lorenzo, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/2/ 014 30, 485 (1997).
5. W. Janke and R. Kenna, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004836227767 102, 1211 (2001);
6. in Computer Simulation Studies in Condensed Matter Physics XIV, edited by, D. P. Landau, S. P. Lewis, and, H. B. Schuettler, (Springer, Heidelberg/Berlin, 2001), p. 97;
7. Nucl. Phys. B (Proc. Suppl.) NPBSE7 0920-5632 106-107, 905 (2002);
8. Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/S0010-4655(02)00323-5 147, 443 (2002);
9. W. Janke, D. A. Johnston, and R. Kenna, Nucl. Phys. B (Proc. Suppl.) NPBSE7 0920-5632 119, 882 (2003);
10. W. Janke, D. A. Johnston, and R. Kenna, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2004.01.028 682, 618 (2004);
11. W. Janke, D. A. Johnston, and R. Kenna, Comput. Phys. Commun. CPHCBZ 0010-4655 169, 457 (2005).
12. R. Kenna, D. A. Johnston, and W. Janke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.115701 96, 115701 (2006).
13. R. Kenna, D. A. Johnston, and W. Janke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.155702 97, 155702 (2006).
14. M. E. Fisher, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.70.653 70, 653 (1998).
15. B. N. Shalaev, Sov. Phys. Solid State SPSSA7 0038-5654 26, 1811 (1984);
16. B. N. Shalaev, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(94)90086-8 237, 129 (1994).
17. R. Shankar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2466 58, 2466 (1987);
18. R. Shankar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2390 61, 2390 (1988)
19. A. W. W. Ludwig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 61.2388 61, 2388 (1988);
20. A. W. W. Ludwig, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(90) 90126-X 330, 639 (1990).
21. G. Jug and B. N. Shalaev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.3442 54, 3442 (1996).
22. Vik. S. Dotsenko and Vl. S. Dotsenko, JETP Lett. JTPLA2 0021-3640 33, 37 (1981);
23. Vik. S. Dotsenko and Vl. S. Dotsenko, Adv. Phys. ADPHAH 0001-8732 10.1080/00018738300101541 32, 129 (1983).
24. V. N. Plechko, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(98) 00022-X 239, 289 (1998).
25. M. Suzuki, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.51.1992 51, 1992 (1974).
26. A. Roder, J. Adler, and W. Janke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4697 80, 4697 (1998);
27. A. Roder, J. Adler, and W. Janke, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00481-6 265, 28 (1999).
28. V. B. Andreichenko, Vl. S. Dotsenko, W. Selke, and J.-S. Wang, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(90)90669-5 344, 531 (1990);
29. J.-S. Wang, W. Selke, Vl. S. Dotsenko, and V. B. Andreichenko, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/11/4/002 11, 301 (1990);
30. J.-S. Wang, W. Selke, Vl. S. Dotsenko, and V. B. Andreichenko, Physica A PHYADX 0378-4371 10.1016/0378-4371(90)90196-Y 164, 221 (1990);
31. A. L. Talapov and L. N. Shchur, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/6/40/020 6, 8295 (1994).
32. S. Wiseman and E. Domany, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.3074 51, 3074 (1995);
33. S. Wiseman and E. Domany, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.3469 52, 3469 (1995).
34. F. D. A Aarão Reis, S. L. A de Queiroz, and R. R. dos Santos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.6013 56, 6013 (1997);
35. D. Stauffer, F. D. A. Aarão Reis, S. L. A. de Queiroz, and R. R. dos Santos, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183197001077 8, 1209 (1997).
36. M. Hasenbusch, F. P. Toldin, A. Pelissetto, and E. Vicari, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.78.011110 78, 011110 (2008).
37. H. G. Ballesteros, L. A. Fernández, V. Martín-Mayor, A. Muñoz Sudupe, G. Parisi, and J. J. Ruiz-Lorenzo, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/24/006 30, 8379 (1997).
38. W. Selke, L. N. Shchur, and O. A. Vasilyev, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00274-X 259, 388 (1998).
39. B. Berche and C. Chatelain, in Order, Disorder and Criticality, edited by, Yu. Holovatch, (World Scientific, Singapore, 2004), p. 146.
40. F. D. A. Aarão Reis, S. L. A. de Queiroz, and R. R. dos Santos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.R9616 54, R9616 (1996).
41. S. L. A. de Queiroz, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/14/ 001 30, L443 (1997);
42. J. C. Lessa and S. L. A. de Queiroz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.021114 74, 021114 (2006).
43. F. Szalma and F. Iglói, J. Stat. Phys. JSTPBS 0022-4715 95, 763 (1999);
44. P. Lajkó and F. Iglói, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.147 61, 147 (2000).
45. W. Selke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3487 73, 3487 (1994).
46. S. L. A. de Queiroz and R. B. Stinchcombe, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.6635 46, 6635 (1992);
47. S. L. A. de Queiroz and R. B. Stinchcombe, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.9976 50, 9976 (1994).
48. L. N. Shchur and O. A. Vasilyev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.016107 65, 016107 (2001).
49. J.-K. Kim, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.8798 62, 8798 (2000).
50. J.-K. Kim, e-print arXiv:cond-mat/9502053.
51. M. Fähnle, T. Holey, and J. Eckert, J. Magn. Magn. Mater. JMMMDC 0304-8853 104-107, 195 (1992).
52. K. Sawada and T. Osawa, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.50.1232 50, 1232 (1973);
53. T. Tamaribuchi and F. Takano, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.64.1212 64, 1212 (1980);
54. T. Tamaribuchi, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.66.1574 66, 1574 (1981).
55. K. Ziegler, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(90)90668-4 344, 499 (1990);
56. K. Ziegler, Europhys. Lett. EULEEJ 0295-5075 14, 415 (1991).
57. K. Ziegler, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/21/12/008 21, L661 (1988).
58. J.-K. Kim, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.1246 61, 1246 (2000).
59. H.-O. Heuer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.5691 45, 5691 (1992).
60. J.-K. Kim and A. Patrascioiu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2785 72, 2785 (1994);
61. J.-K. Kim and A. Patrascioiu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.3489 73, 3489 (1994);
62. J.-K. Kim and A. Patrascioiu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.15764 49, 15764 (1994).
63. R. Kuehn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.2268 73, 2268 (1994);
64. R. Kühn and G. Mazzeo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.6135 84, 6135 (2000).
65. I. A. Hadjiagapiou, A. Malakis, and S. S. Martinos, Physica A PHYADX 0378-4371 387, 2256 (2008).
66. G. Mazzeo and R. Kühn, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.3823 60, 3823 (1999).
67. D. Stauffer and A. Aharony, An Introduction to Percolation Theory (Taylor & Francis, London, 1994).
68. U. Wolff, Phys. Lett. B PYLBAJ 0370-2693 228, 3 (1989).