Uniqueness of Gibbs states in one-dimensional antiferromagnetic model with long-range interaction

Journal of Mathematical Physics

Volumn 40, Issue 10, 1999, Pages 4956-4974

  Kerimov, Azer ^a  

^a BILKENT UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033240853     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533009     Document Type: Article

References (17)

1. S. E. Burkov and G. Ya. Sinai, Usp. Mat. Nauk 38, 205 (1983).
2. R. L. Dobrushin, Teor. Veroyatn. Primen. 18, 201 (1968).
3. R. L. Dobrushin, Funk. Anal. Pril. 2, 44 (1968).
4. D. Ruelle, Commun. Math. Phys. 9, 267 (1968).
5. F. Dyson, Commun. Math. Phys. 12, 91 (1969).
6. F. Dyson, Commun. Math. Phys. 21, 269 (1971).
7. J. Hubbard, Phys. Rev. B 17, 494 (1978).
8. P. L. Pokrovsky and G. V. Uimin, J. Phys. C 11, 3535 (1978).
9. P. Bak, "Incommensurate, commensurate and chaotic phases," preprint, Nordita, 1982.
10. P. Bak and R. Bruinsma, Phys. Rev. Lett. 49, 249 (1982).
11. M. Fannes, P. Vanheuverzwijn, and A. Verbeure, J. Stat. Phys. 29, 547 (1982).
12. A. A. Kerimov, Teor. Mat. Fiz. 58, 473 (1984).
13. A. A. Kerimov, J. Stat. Phys. 72, 571 (1993).
14. J. Bricmont, K. Kuroda, and J. L. Lebowitz, Commun. Math. Phys. 101, 501 (1985).
15. A. A. Kerimov, Physica A 258, 183 (1998).
16. H.-O. Georgee, Gibbs Measures and Phase Transitions (de Gruyter, Berlin, New York, 1988).
17. J. Bricmont, J. L. Lebowitz, and C. E. Pfister, J. Stat. Phys. 21, 573 (1979).