M. M. Rahmatullaev, M. A. Rasulova
Published 2021-04-02Version 1
In this paper, we consider the Potts-SOS model where the spin takes values in the set $\{0, 1, 2\}$ on the Cayley tree of order two. We describe all the translation-invariant splitting Gibbs measures for this model in some conditions. Moreover, we investigate whether these Gibbs measures are extremal or non-extremal in the set of all Gibbs measures.
Boundary conditions for translation-invariant Gibbs measures of the Potts model on Cayley trees
Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree
Fuzzy transformations and extremality of Gibbs measures for the Potts model on a Cayley tree
![QR code for arXiv:2104.00973 [math-ph]](http://oss.arxitics.com/images/favicon.svg)