Functional equations for the Potts model with competing interactions on a Cayley tree

Abstract

In this paper, we consider an infinite system of functional equations for the Potts model with competing interactions of radius r = 2 and countable spin values 0, 1, ..., and non-zero-filled, on a Cayley tree of order two. We describe conditions on hx guaranteeing compatibility of distributions (n) (n).

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Identifiers

DOI

10.17586/2220-8054-2016-7-3-401-404

Citations and references