2 papers
math-ph2022
Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees
N. N. Ganikhodjaev, N. M. Khatamov, U. A. Rozikov
The work is devoted to gradient Gibbs measures (GGMs) of a SOS model with countable set of spin values and having alternating magnetism on Cayley trees. This model is d…
cond-mat.stat-mech2017
Translation-invariant Gibbs measures for the Blum-Kapel model on a Cayley tree
N. Xatamov, R. Khakimov
In this paper we consider translation-invariant Gibbs measures for the Blum-Kapel model on a Cayley tree of order k. An approximate critical temperature T_{cr} is found such that f…