A Monte Carlo study of the anisotropic N = 3 Ashkin-Teller model

Physica A: Statistical Mechanics and its Applications

Volumn 321, Issue 3-4, 2003, Pages 529-542

  Drugowich de Felicio J R ^a   Chahine, J ^b   Caticha, N ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

Ashkin Teller model; Critical exponents; Multicritical point

Indexed keywords

ANISOTROPY; MATHEMATICAL MODELS; MONTE CARLO METHODS; PHASE TRANSITIONS;

CRITICAL EXPONENTS;

PHASE DIAGRAMS;

EID: 0037446125     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(02)01666-7     Document Type: Article

References (30)

1. Ashkin J., Teller E. Phys. Rev. 64:1943;178.
2. Kadanoff L.P. Phys. Rev. Lett. 39:1977;903 Kadanoff L.P., Brown A.C. Ann. Phys. (NY). 121:1979;318.
3. Kadanoff L.P. Phys. Rev. Lett. 39:1977;903 Kadanoff L.P., Brown A.C. Ann. Phys. (NY). 121:1979;318.
4. Kamieniarz G., Kozlowski P., Dekeyser R. Phys. Rev. E. 55:1977;3724 Pawlicki P.et al. Physica A. 242:1997;281 Pawlicki P.et al. Physica A. 242:1997;290.
5. Kamieniarz G., Kozlowski P., Dekeyser R. Phys. Rev. E. 55:1977;3724 Pawlicki P.et al. Physica A. 242:1997;281 Pawlicki P.et al. Physica A. 242:1997;290.
6. Kamieniarz G., Kozlowski P., Dekeyser R. Phys. Rev. E. 55:1977;3724 Pawlicki P.et al. Physica A. 242:1997;281 Pawlicki P.et al. Physica A. 242:1997;290.
7. Bezera C.G., Mariz A.M., de Araújo J.M., da Costa F.A. Physica A. 292:2001;429.
8. Shankar R. Phys. Rev. Lett. 55:1984;453.
9. Gross D., Neveu A. Phys. Rev. D. 10:1974;3235.
10. Drugowich de Felício J.R., Köberle R. Phys. Rev. B. 25:1982;511.
11. Cabra D., Moreno E., Naon C. Nucl. Phys. B. 424 [FS]:1994;567.
12. Coleman S. Phys. Rev. D. 11:1975;2088.
13. Fradkin E. Phys. Rev. Lett. 53:1984;67.
14. Grest G., Widom M. Phys. Rev. B. 24:1981;6508.
15. Goldschmidt Y.Y. Phys. Rev. Lett. 56:1986;1627.
16. Witten E. Nucl. Phys. B. 142:1978;285.
17. Kosterlitz J.M., Thouless D.J. J. Phys. C. 6:1973;1181.
18. R.H. Swendsen, in: T.W. Burkhardt, J.M. van Leeuwen (Eds.), Real Space Renormalization (Topics in Current Physics), Springer, Berlin, 1984.
19. Ferrenberg A.M., Swendsen R.H. Phys. Rev. Lett. 63:1988;1195.
20. Drugowich de Felício J.R., Líbero V. Am. J. Phys. 64:1996;1281.
21. Caticha N., Chahine J., Drugowich de Felício J.R. Phys. Rev. A. 40:1989;7431.
22. R.H. Swendsen, J.-S. Wang, A.M. Ferrenberg, in: K. Binder (Ed.), The Monte Carlo Method in Condensed Matter Physics, Vol. 71, Springer, Berlin, 1992.
23. Challa M.S., Landau D.P., Binder K. Phys. Rev. B. 34:1986;1841.
24. Caticha N., Chahine J., Drugowich de Felício J.R. Phys. Rev. B. 43:1991;1173.
25. Lee J., Kosterlitz J.M. Phys. Rev. B. 43:1991;3265.
26. Zhang G.M., Yang C.Z. Phys. Rev. B. 48:1993;9487.
27. M.N. Barber, in: C. Domb, J. Lebowitz (Eds.), Phase Transitions and Critical Phenomena, Vol. 8, Academic Press, London, 1983.
28. de Oliveira P.C.M., Moss de Oliveira S.M., Cordeiro C.E., Stauffer D. J. Stat. Phys. 80:1995;1433.
29. Chahine J., Drugowich de Felício J.R., Caticha N. J. Phys. A. 22:1989;1639.
30. Kadanoff L.P., Wegner F.J. Phys. Rev. B. 4:1971;1471.