Article

Fixed points and phase transitions for the p-adic Potts model with an external field

M. M. RahmatullaevV. I. Romanovskiy Institute of Mathematics, P. O. Box 100174, University Street, Tashkent, UzbekistanNurkhon SamijonovaNamangan State University, 30 Yangi Shahar Street, Namangan City, Namangan, Uzbekistan

Reviews in Mathematical Physicsjournal2025en

ABI

Abstract

In this paper, we investigate a two-variable [Formula: see text]-adic dynamical system associated with the Potts model with an external field on the Cayley tree of order two. We analyze the fixed points of the corresponding operator and identify four saddle points. Based on these fixed points, we construct four new translation-invariant [Formula: see text]-adic quasi Gibbs measures for the Potts model. Furthermore, we establish new sufficient conditions for the existence of a phase transition in the model by examining the boundedness of these measures.

Topics

advanced mathematical theories Mathematical Dynamics and Fractals Stochastic processes and statistical mechanics

Identifiers

DOI: 10.1142/s0129055x26500017

Citations and references

Cited by 00 references

Metrics — AkademScholar · Coming soon