Ising model on Cayley trees: a new class of Gibbs measures and their comparison with known ones. (18th September 2017)

• Record Type: Journal Article
• Authors: Rahmatullaev, M M; Rozikov, U A
• Is Part Of: Journal of statistical mechanics. (2017:Sep.)
• Publication Date: 2017-09-18
• Subjects: 3; 3/040; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aa85c2
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: 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.