Article

Weakly periodic measure and phase transition: q-state p-adic Potts model on the Cayley tree of order k

Akbarkhuja TukhtabaevNamangan State University ; Kimyo International University in Tashkent Branch Namangan

Nanosystems Physics Chemistry Mathematicsjournal2026

ABI

Abstract

In this paper, we investigate weakly periodic p -adic quasi Gibbs measures for the q -state Potts model on the Cayley tree of order k . Furthermore, we demonstrate that for all q ≥ 3 and k ≥ 2, there exist a prime number p and a parameter θ that guarantee the occurrence of a phase transition.

Topics

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

Identifiers

DOI: 10.17586/2220-8054-2026-17-2-153-164

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