On weakly periodic Gibbs measures for the Potts model with external field on the Cayley tree

• Date: 2016
• Main Authors: Rakhmatullaev, M. M., Рахматуллаев, М. М.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1858
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the Potts model with external field on the Cayley tree of order $k \geq 2$. For the antiferromagnetic Potts model with external field and $k \geq 6$ and $q \geq 3$, it is shown that the weakly periodic Gibbs measure, which is not periodic, is not unique. For the Potts model with external...