Translation-invariant Gibbs measures for the Blum-Kapel model on a Cayley tree
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 Tcr is found such that for T≥ Tcr there exists a unique translation-invariant Gibbs measure and for 0<T<Tcr 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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