Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree
Mathematical Physics
2020-07-22 v1 math.MP
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 . 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.
Keywords
Cite
@article{arxiv.2007.10676,
title = {Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree},
author = {G. I. Botirov and F. H. Haydarov},
journal= {arXiv preprint arXiv:2007.10676},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1902.04909