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The phase transition for the three-state SOS model with one-level competing interactions on the binary tree
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Journal Article
The phase transition for the three-state SOS model with one-level competing interactions on the binary tree
2025
Overview
In this paper, we consider a three-state solid-on-solid (SOS) model with two competing interactions (nearest-neighbor, one-level next-nearest-neighbor) on the Cayley tree of order two. We show that at some values of the parameters the model exhibits a phase transition. We also prove that for the model under some conditions there is no two-periodic Gibbs measures.
Publisher
St. Petersburg National Research University of Information Technologies, Mechanics and Optics
Subject
