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arXiv · 1602.06840

Translation-invariant and periodic Gibbs measures for Potts model on a Cayley tree

R. M. Khakimov·F. H. Haydarov
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Abstract

In this paper is studied ferromagnetic three states Potts model on a Cayley tree of order three and we give explicit formulas for translation-invariant Gibbs measures. Furthermore, we show that under some conditions on the parameter of the antiferromagnetic Potts model with q-states with zero external field on the Cayley tree of order $k>2$, there are exactly 2(2^q-1) periodic (non translation-invariant) Gibbs measures.

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R. M. Khakimov, F. H. Haydarov. 2016-02-16. Translation-invariant and periodic Gibbs measures for Potts model on a Cayley tree. https://doi.org/10.1134/s004057791611009x

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