Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree

2020/07/21 by G. I. Botirov, Botirov, G. I., F. H. Haydarov +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.2007.10676

arXiv admin note: substantial text overlap with arXiv:1902.04909

arxiv created 2020/07/21 · arxiv updated 2020/07/22

Abstract

In the present paper we continue the investigation from [1] and consider the SOS (solid-on-solid) model on the Cayley tree of order k ≥ 2. In the ferromagnetic SOS case on the Cayley tree, we find three solutions to a class of period-4 height-periodic boundary law equations and these boundary laws define up to three periodic gradient Gibbs measures.

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