DOI: 10.1007/bf02108787. Extremity of the disordered phase in the Ising model on the Bethe lattice

Extremity of the disordered phase in the Ising model on the Bethe lattice

10.1007/bf02108787

Crossref journal-article

Springer Science and Business Media LLC

Communications in Mathematical Physics (297)

Authors 1

P. M. Bleher (first)

References 13 Referenced 33

Preston, C.J.: Gibbs states on countable sets. Cambridge Tracts in Mathematics, vol. 68. London: Cambridge University Press 1974 (10.1017/CBO9780511897122) / Gibbs states on countable sets / Cambridge Tracts in Mathematics by C.J. Preston (1974)
Katsura, S., Takizawa, M.: Bethe lattice and the Bethe approximation. Progr. Theor. Phys.51, 82–98 (1974) (10.1143/PTP.51.82) / Progr. Theor. Phys. by S. Katsura (1974)
Spitzer, F.: Markov random fields on an infinite tree. Ann. Prob.3, 387–398 (1975) (10.1214/aop/1176996347) / Ann. Prob. by F. Spitzer (1975)
Higuchi, Y.: Remarks on the limiting Gibbs states on a (d+1)-tree. Publ. RIMS Kyoto University13, 335–348 (1977) (10.2977/prims/1195189812) / Publ. RIMS Kyoto University by Y. Higuchi (1977)
Baxter, R.J.: Exactly solved models in statistical mechanics. London, New York: Academic Press 1982 / Exactly solved models in statistical mechanics by R.J. Baxter (1982)
Falk, H.: Ising spin system on a Cayley tree: correlation decomposition and phase transition. Phys. Rev.B12, 5184–5189 (1975) (10.1103/PhysRevB.12.5184) / Phys. Rev. B by H. Falk (1975)
Moore, T., Snell, J.L.: A branching process showing a phase transition. J. Appl. Prob.16, 252–260 (1979) (10.2307/3212894) / J. Appl. Prob. by T. Moore (1979)
Georgii, H.-O.: Gibbs measures and phase transitions (De Gruyter Studies in Math., vol. 9). Berlin, New York: De Gruyter 1988 (10.1515/9783110850147) / Gibbs measures and phase transitions / De Gruyter Studies in Math. by H.-O. Georgii (1988)
Bleher, P.M., Ganihodgaev, N.N.: On pure phases of the Ising model on the Bethe lattice (to appear in Theor. veroyatn. primen.)
Thouless, D.J.: Spin-glass on a Bethe lattice. Phys. Rev. Lett.56, 1082–1085 (1986) (10.1103/PhysRevLett.56.1082) / Phys. Rev. Lett. by D.J. Thouless (1986)
Chayes, J.T., Chayes, L., Sethna, J.P., Thouless, D.J.: A mean field spin glass with short-range interactions. Commun. Math. Phys.106, 41–89 (1986) (10.1007/BF01210926) / Commun. Math. Phys. by J.T. Chayes (1986)
Carlson, J.M., Chayes, J.T., Chayes, L., Sethna, J.P., Thouless, D.J.: Critical behavior of the Bethe lattice spin glass. Europhys. Lett.5, 355–360 (1989) (10.1209/0295-5075/5/4/013) / Europhys. Lett. by J.M. Carlson (1989)
Matsuda, H.: Infinite susceptibility without spontaneous magnetization. Progr. Theor. Phys.51, 1053–1063 (1974) (10.1143/PTP.51.1053) / Progr. Theor. Phys. by H. Matsuda (1974)

Dates

Type	When
Created	19 years, 11 months ago (Sept. 12, 2005, 7:12 p.m.)
Deposited	6 years, 3 months ago (May 14, 2019, 7:04 a.m.)
Indexed	1 month, 3 weeks ago (July 7, 2025, 4:24 a.m.)
Issued	35 years, 6 months ago (March 1, 1990)
Published	35 years, 6 months ago (March 1, 1990)
Published Print	35 years, 6 months ago (March 1, 1990)

Funders 0

None

BibTeX

@article{Bleher_1990, title={Extremity of the disordered phase in the Ising model on the Bethe lattice}, volume={128}, ISSN={1432-0916}, url={http://dx.doi.org/10.1007/bf02108787}, DOI={10.1007/bf02108787}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Bleher, P. M.}, year={1990}, month=mar, pages={411–419} }

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