Translation-invariant and periodic Gibbs measures for Potts model on a Cayley tree
Mathematical Physics
2016-12-21 v1 math.MP
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 , there are exactly 2(2^q-1) periodic (non translation-invariant) Gibbs measures.
Keywords
Cite
@article{arxiv.1602.06840,
title = {Translation-invariant and periodic Gibbs measures for Potts model on a Cayley tree},
author = {R. M. Khakimov and F. H. Haydarov},
journal= {arXiv preprint arXiv:1602.06840},
year = {2016}
}
Comments
in Russian