Article

Extremality of translation-invariant Gibbs measures for the Potts–SOS model on the Cayley tree

M M RahmatullaevNamangan State University, Namangan, UzbekistanM A RasulovaNamangan State University, Namangan, Uzbekistan

Journal of Statistical Mechanics Theory and Experimentjournal2021en

ABI

Abstract

Abstract In this paper, we consider the Potts–SOS model where the spin takes values in the set {0, 1, 2} on the Cayley tree of order two. We describe all the translation-invariant splitting Gibbs measures (GMs) for this model in some conditions. Moreover, we investigate whether these GMs are extremal or non-extremal in the set of all GMs.

Topics

Theoretical and Computational Physics Markov Chains and Monte Carlo Methods Stochastic processes and statistical mechanics

Identifiers

DOI: 10.1088/1742-5468/ac08ff

Citations and references

Cited by 9 20 references

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