This article is cited in 12 papers

Free energies of the Potts model on a Cayley tree

U. A. Rozikov, M. M. Rakhmatullaev

Institute of Mathematics, Mirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan

Abstract: For the Potts model on the Cayley tree, we obtain some explicit formulas for the free energies and entropies in the case of vector-valued boundary conditions. These formulas include translation-invariant, periodic, and Dobrushin-like boundary conditions and also those corresponding to weakly periodic Gibbs measures.

Keywords: Cayley tree, Potts model, boundary condition, Gibbs measure, free energy, entropy.

Received: 29.09.2015

DOI: 10.4213/tmf9061

 English version: Theoretical and Mathematical Physics, 2017, 190:1, 98–108

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