Ising model on Cayley trees: a new class of Gibbs measures and their comparison with known ones

For the Ising model on Cayley trees we give a very wide class of new Gibbs measures. We show that these new measures are extreme under some conditions on the temperature. We give a review of all known Gibbs measures of the Ising model on trees and compare them with our new measures.

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Veröffentlicht in:Journal of statistical mechanics 2017-09, Vol.2017 (9), p.93205
Hauptverfasser: Rahmatullaev, M M, Rozikov, U A
Format: Artikel
Sprache:eng
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Zusammenfassung:For the Ising model on Cayley trees we give a very wide class of new Gibbs measures. We show that these new measures are extreme under some conditions on the temperature. We give a review of all known Gibbs measures of the Ising model on trees and compare them with our new measures.
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/aa85c2