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

2017/06/15 by Nosirjon Muydinovich Xatamov, N. Xatamov, Xatamov, N. +3
Chemistry · Mathematics · Physics and Astronomy · #Chemistry #Combinatorics #Computer science #Data mining #FOS: Physical sciences #Gibbs free energy #Gibbs measure #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Measure (data warehouse) #Physics #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #Translation (biology) #Tree (set theory) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.1706.06130

in English

openalex publication_date 2017/06/15 · openalex created_date 2017/06/30 · arxiv created 2018/04/15 · arxiv updated 2018/04/17 · openalex updated_date 2026/08/05

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≥ T_cr there exists a unique translation-invariant Gibbs measure and for 0

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