On free energies of the Potts model on the Cayley tree

2014/04/23 by U. A. Rozikov, Rozikov, U. A., M. M. Rahmatullaev +1
Mathematics · Physics and Astronomy · #60K35 (secondary) #82B26(primary) #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:60K35

paper · pdf · doi:10.48550/arxiv.1404.5738

12 pages, 1 figure

arxiv created 2014/04/23 · arxiv updated 2014/04/24

Abstract

For the Potts model on the Cayley tree, some explicit formulae of the free energies and entropies (according to vector-valued boundary conditions (BCs)) are obtained. They include translation-invariant, periodic, Dobrushin-like BCs, as well as those corresponding to weakly periodic Gibbs measures.

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