Weakly periodic measure and phase transition: q-state p-adic Potts model on the Cayley tree of order k
https://doi.org/10.17586/2220-8054-2026-17-2-153-164
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.
Keywords
p-adic numbers,
Potts model,
p-adic quasi Gibbs measure,
translation-invariant,
periodic,
weakly periodic Gibbs measure,
phase transition
Supporting agencies: The author is grateful to Professor M.M. Rahmatullaev for his many helpful suggestions during the preparation of this paper. The author also thanks the anonymous referee for the careful reading of the manuscript and for many valuable comments and suggestions that helped to improve the quality of the paper.
About the Author
A. M. Tukhtabaev
Namangan State University ; Kimyo International University in Tashkent Branch Namangan
Uzbekistan
Uzbekistan
Akbarkhuja M. Tukhtabaev
P.O. Box, 160107, 161 Boburshoh street, Namangan
75 A Chortoq street, Namangan
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Review
For citations:
Tukhtabaev A.M. Weakly periodic measure and phase transition: q-state p-adic Potts model on the Cayley tree of order k. Nanosystems: Physics, Chemistry, Mathematics. 2026;17(2):153-164. (In Russ.) https://doi.org/10.17586/2220-8054-2026-17-2-153-164
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