Cluster analysis of the Ising model and universal finite-size scaling

Physica A: Statistical Mechanics and its Applications

Volumn 281, Issue 1, 2000, Pages 233-241

  Okabe, Yutaka ^a   Kaneda, Kazuhisa ^a   Tomita, Yusuke ^a   Kikuchi, MacOto ^b   Hu, Chin Kun ^c  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

^b OSAKA UNIVERSITY   (Japan)

^c INSTITUTE OF PHYSICS   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; FUNCTIONS; MAGNETIZATION; PERCOLATION (SOLID STATE); TWO DIMENSIONAL;

CLUSTER ANALYSIS; FINITE SIZE SCALING; ISING MODEL;

MATHEMATICAL MODELS;

EID: 0033686366     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00034-0     Document Type: Article

References (35)

1. Stanley H.E. Introduction to Phase Transitions and Critical Phenomena. 1971;Oxford University Press, New York.
2. Fisher M.E. Green M.S. Critical Phenomena. Proceedings of the E. Fermi International School of Physics, Varenna, 1970. Vol. 51:1971;1 Academic, New York.
3. Cardy (Ed.) J.L. Finite-size Scaling. 1988;North-Holland, New York.
4. Privman V., Fisher M.E. Phys. Rev. B. 30:1984;322.
5. Hu C.-K., Lin C.-Y., Chen J.-A. Phys. Rev. Lett. 75:1995;193 and 2786E.
6. Hu C.-K., Lin C.-Y., Chen J.-A. Physica A. 221:1995;80.
7. Hu C.-K., Lin C.-Y. Phys. Rev. Lett. 77:1996;8.
8. Hu C.-K., Wang F.-G., Korean J. Phys. Soc. 31:1997;S271.
9. Okabe Y., Kikuchi M. Int. J. Mod. Phys. C. 7:1996;287.
10. Wang F.-G., Hu C.-K. Phys. Rev. E. 56:1997;2310.
11. Lin C.-Y., Hu C.-K., Chen J.-A. J. Phys. A. 31:1998;L111.
12. Lin C.-Y., Hu C.-K. Phys. Rev. E. 58:1998;1521.
13. Hu C.-K. Tokuyama M., Oppenheim I. Statistical Physics: Experiments, Theories, and Computer Simulations. 1998;83 World Scientific, Singapore.
14. Hu C.-K., Chen J.-A., Lin C.-Y. Physica A. 266:1999;27.
15. Okabe Y., Kaneda K., Kikuchi M., Hu C.-K. Phys. Rev. E. 59:1999;1585.
16. Tomita Y., Okabe Y., Hu C.-K. Phys. Rev. E. 60:1999;2716.
17. Hu C.-K. Phys. Rev. B. 46:1992;6592.
18. Langlands R.P., Pichet C., Pouliot Ph., Saint-Aubin Y. J. Stat. Phys. 67:1992;553.
19. Binder K. Z. Phys. B. 43:1981;119.
20. M. Aizenman, Nucl. Phys. B 485 [FS] (1997) 551.
21. Hovi J.-P., Aharony A. Phys. Rev. E. 56:1997;172.
22. Cardy J. J. Phys. A. 31:1998;L105.
23. Cooper N.R., Halperin B.I., Hu C.-K., M. Ruzin I. Phys. Rev. B. 55:1997;4551.
24. Kasteleyn P.W., Fortuin C.M. J. Phys. Soc. Japan. 26(Suppl.):1969;11.
25. Fortuin C.M., Kasteleyn P.W. Physica. 57:1972;536.
26. Coniglio A., Klein W. J. Phys. A. 13:1980;2775.
27. Hu C.-K. Phys. Rev. B. 29:1984;5103.
28. Hu C.-K. Phys. Rev. B. 29:1984;5109.
29. Swendsen R.H., Wang J.S. Phys. Rev. Lett. 58:1987;86.
30. Wolff U. Phys. Rev. Lett. 60:1988;1461.
31. J.L. Cardy, Nucl. Phys. B 270 [FS16] (1986) 186.
32. Ziff R.M., Lorentz C.D., Kleban P. Physica A. 266:1999;17.
33. Kamieniarz G., Blöte H.W. J. Phys. A. 26:1993;201.
34. J.L. Cardy, C. Domb, J.L. Lebowitz (Eds.), Phase Transitions and Critical Phenomena, Vol. 11, Academic, New York, 1987, p. 55.
35. Kaneda K., Okabe Y., Kikuchi M. J. Phys. A. 32:1999;7263.