Phase diagram and critical exponent ν for the nearest-neighbor and next-nearest-neighbor interaction Ising model

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

Volumn 76, Issue 2, 2007, Pages

  Monroe, James L ^a   Kim, Seung Yeon ^b  

^a Beaver Campus ^*  (United States)

^b Chungju National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; CRYSTAL LATTICES; ISING MODEL; PHASE TRANSITIONS;

FINITE SIZED SYSTEMS; PARTITION FUNCTIONS;

PHASE DIAGRAMS;

EID: 34548457319     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.021123     Document Type: Article

References (28)

1. L. Onsager, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.65.117 65, 117 (1944).
2. N. W. Dalton and D. W. Wood, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1664966 10, 1271 (1969).
3. J. Oitmaa, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/14/5/035 14, 1159 (1981).
4. J. Oitmaa and M. J. Velgakis, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/20/5/035 20, 1269 (1987).
5. T. W. Burkhardt, Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01313197 29, 129 (1978).
6. M. Nauenberg and B. Nienhuis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.33.944 33, 944 (1974).
7. M. P. Nightingale, Phys. Lett. PYLBAJ 0370-2693 59, 486 (1977).
8. R. H. Swendsen and S. Krinsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.43.177 43, 177 (1979).
9. M. P. Nightingale and H. W. J. Blote, Physica A PHYADX 0378-4371 10.1016/S0378-4371(97)00605-5 251, 211 (1998).
10. D. P. Landau, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.21.1285 21, 1285 (1980).
11. K. Binder and D. P. Landau, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.21.1941 21, 1941 (1980).
12. D. P. Landau and K. Binder, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.31.5946 31, 5946 (1985).
13. H. W. J. Blote, A. Compagner, and A. Hoogland, Physica A PHYADX 0378-4371 10.1016/0378-4371(87)90172-5 141, 375 (1987).
14. A. N. Berker and K. Hui, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.12393 48, 12393 (1993).
15. K. Minami and M. Suzuki, Physica A PHYADX 0378-4371 10.1016/0378-4371(93) 90170-9 195, 457 (1993).
16. H. J. W. Zandvliet, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005- 10451-1 73, 747 (2006).
17. A. Malakis, P. Kalozoumis, and N. Tyraskis, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2006-00032-2 50, 63 (2006).
18. C. N. Yang and T. D. Lee, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.87.404 87, 404 (1952);
19. C. N. Yang and T. D. Lee, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.87.410 87, 410 (1952).
20. S.-Y. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 130604 93, 130604 (2004).
21. R. J. Creswick, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.R5735 52, R5735 (1995).
22. K. Binder, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(72) 90237-6 62, 508 (1972).
23. G. Bhanot, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01013669 60, 55 (1990).
24. R. Bulirsch and J. Stoer, Numer. Math. NUMMA7 0029-599X 10.1007/BF01386092 6, 413 (1964).
25. M. Henkel and A. Patkos, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/ 20/8/032 20, 2199 (1987).
26. J. L. Monroe, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.066116 65, 066116 (2002).
27. M. P. Nightingale and H. W. J. Blote, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/1/007 15, L33 (1982).
28. C. Itzykson, R. B. Pearson, and J. B. Zuber, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(83)90499-6 220, 415 (1983).