Translation-Invariant Extreme Gibbs Measures for the Blume–Capel Model Withwand on a Cayley Tree

被引：0

作者：

N. M. Khatamov

机构：

[1] Namangan State University,

来源：

Ukrainian Mathematical Journal | 2020年 / 72卷

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摘要：

We study translation-invariant Gibbs measures for the Blume–Capel model with wand on a Cayley tree of order k. We find the exact critical value 𝜃cr = 1 such that, for 𝜃 ≥ 𝜃cr , there exists a unique translation-invariant Gibbs measure and, for 0 < 𝜃 < 𝜃cr , there are exactly three translation-invariant Gibbs measures in the presence of a wand in the analyzed model. In addition, we study the problem of (no) extremes for these measures.

引用

页码：623 / 641

页数：18

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