Periodic Gibbs measures for the Potts-SOS model on a Cayley tree
M.M.Rahmatullaev, M.A.Rasulova
TL;DR
This paper proves the existence of at least one periodic Gibbs measure for the Potts-SOS model on a Cayley tree under certain conditions, contributing to understanding phase behavior in statistical physics models.
Contribution
It establishes the existence of non translation-invariant Gibbs measures for the Potts-SOS model on Cayley trees, which was previously unconfirmed.
Findings
Existence of periodic Gibbs measures proved
Conditions for non translation-invariance identified
Advances understanding of phase structures in the model
Abstract
In this paper for the Potts-SOS model on a Cayley tree under some conditions the existence of at least one periodic (non translation-invariant) Gibbs measure is proved.
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Taxonomy
TopicsTheoretical and Computational Physics · Stochastic processes and statistical mechanics · Markov Chains and Monte Carlo Methods