On Pure Phases of the Ising Model on the Bethe Lattices

Previous article Next article On Pure Phases of the Ising Model on the Bethe LatticesP. M. Blekher and N. N. GanikhodgaevP. M. Blekher and N. N. Ganikhodgaevhttps://doi.org/10.1137/1135031PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Rodney J. Baxter, Exactly solved models in statistical mechanics, Academic Press Inc. [Harcourt Brace Jovanovich Publishers], London, 1982xii+486, New York 86i:82002a 0538.60093 Google Scholar[2] R. L. Dobrushin, Description of a random field by means of conditional probabilities and conditions of its regularity, Theory Probab. Appl., 13 (1968), 197–225 10.1137/1113026 LinkGoogle Scholar[3] Ch. J. Preston, Gibbs states on countable sets, Cambridge Tracts in Mathematics, No. 68, Cambridge University Press, London, 1974ix+128, New York 57:14194a 0297.60054 CrossrefGoogle Scholar[4] David Ruelle, Statistical mechanics: Rigorous results, W. A. 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Phys., 128 (1990), 63–76 91b:82006 0692.60088 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails A novel computational method of the free energy for an Ising model on Cayley tree of order threeChinese Journal of Physics, Vol. 29 Cross Ref On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree22 February 2022 | Theoretical and Mathematical Physics, Vol. 210, No. 2 Cross Ref Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree27 January 2022 | Theoretical and Mathematical Physics, Vol. 210, No. 1 Cross Ref Phase diagrams of lattice models on Cayley tree and chandelier network: a review1 January 2022 | Condensed Matter Physics, Vol. 25, No. 3 Cross Ref New Condition on Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree20 September 2021 | Mathematical Physics, Analysis and Geometry, Vol. 24, No. 4 Cross Ref Periodic and weakly periodic ground states corresponding to subgroups of index three for the ising model on cayley treeReports on Mathematical Physics, Vol. 88, No. 2 Cross Ref Determination of paramagnetic and ferromagnetic phases of an Ising model on a third-order Cayley tree1 March 2021 | Condensed Matter Physics, Vol. 24, No. 1 Cross Ref Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order $$k=2$$21 June 2021 | Theoretical and Mathematical Physics, Vol. 206, No. 2 Cross Ref Uniqueness of Gibbs Measures for an Ising Model with Continuous Spin Values on a Cayley TreeReports on Mathematical Physics, Vol. 86, No. 3 Cross Ref Non-Translation-Invariant Gibbs Measures of an SOS Model on a Cayley TreeReports on Mathematical Physics, Vol. 86, No. 3 Cross Ref Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model13 August 2020 | Theoretical and Mathematical Physics, Vol. 204, No. 2 Cross Ref Positive Fixed Points of Cubic Operators on R² and Gibbs Measures1 November 2019 | Journal of Siberian Federal University. 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History Submitted:01 June 1989Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1135031Article page range:pp. 216-227ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics

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