Phase Transitions for the Potts Model with Four Competing Interactions
نویسندگان
چکیده
In this paper we study phase transitions for the Potts model with four competing interactions (external field, the nearest neighbor, the second neighbors and triples of neighbors) on Cayley tree of order two. We prove that for some parameter values of the model there is phase transition. We reduce the problem of describing limiting Gibbs measures to the problem of solving a system of nonlinear functional equations. We extend to the Potts model setting the results obtained by Ganikhodjaev and Rozikov [5] on phase transition for the Ising model. Mathematics Subject Classification: 82B20, 82B26.
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