The Potts model on a Cayley tree: the new class of Gibbs measures
Muzaffar M. Rahmatullaev, Dekhkonov D. Jasur
TL;DR
This paper introduces a broad new class of Gibbs measures for the Potts model on Cayley trees, expanding the understanding of phase structures in such models.
Contribution
It presents a comprehensive set of new Gibbs measures for the Potts model on Cayley trees, surpassing previously known measures.
Findings
Introduction of a wide class of new Gibbs measures
Comparison with existing measures
Enhanced understanding of phase behavior
Abstract
For the Potts model on Cayley trees, a very wide class of new Gibbs measures is given. We give a review of all known Gibbs measures of the Potts model on trees and compare them with our new measures.
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Taxonomy
TopicsTheoretical and Computational Physics · Stochastic processes and statistical mechanics · Markov Chains and Monte Carlo Methods