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arXiv · 1706.06130

Translation-invariant Gibbs measures for the Blum-Kapel model on a Cayley tree

N. Xatamov·R. Khakimov
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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.

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BibTeXRIS

N. Xatamov, R. Khakimov. 2017-06-15. Translation-invariant Gibbs measures for the Blum-Kapel model on a Cayley tree. https://arxiv.org/abs/1706.06130

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