Translation-invariant Gibbs measures for the Blum-Kapel model on a Cayley tree
Statistical Mechanics
2018-04-17 v3
Abstract
In this paper we consider translation-invariant Gibbs measures for the Blum-Kapel model on a Cayley tree of order k. An approximate critical temperature T_{cr} is found such that for T\geq T_{cr} there exists a unique translation-invariant Gibbs measure and for 0<T<T_{cr} there are exactly three translation-invariant Gibbs measures. In addition, we studied the problem of (not) extremality for the unique Gibbs measure.
Cite
@article{arxiv.1706.06130,
title = {Translation-invariant Gibbs measures for the Blum-Kapel model on a Cayley tree},
author = {N. Xatamov and R. Khakimov},
journal= {arXiv preprint arXiv:1706.06130},
year = {2018}
}
Comments
in English