Conditions of the uniqueness and non-uniqueness of weakly periodic Gibbs measures for Hard-Core model
R.M. Khakimov, M.T. Makhammadaliyev
TL;DR
This paper investigates the conditions under which weakly periodic Gibbs measures are unique or non-unique for the Hard-Core model on a Cayley tree, providing new criteria for these properties.
Contribution
It introduces new conditions for the uniqueness and non-uniqueness of weakly periodic Gibbs measures specifically for the Hard-Core model on a Cayley tree with a normal divisor of index four.
Findings
New criteria for Gibbs measure uniqueness and non-uniqueness.
Conditions specific to the Hard-Core model on Cayley trees.
Analysis focused on normal divisors of index four.
Abstract
In this paper we study Hard-Core model on a Cayley tree. For a normal divisor of index four new conditions for uniqueness and non-uniqueness of weakly periodic Gibbs measures are found.
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Taxonomy
TopicsTheoretical and Computational Physics · Stochastic processes and statistical mechanics · Markov Chains and Monte Carlo Methods