On constructive description of Gibbs measures for the Potts model on a Cayley tree
Abstract
UDC 517.9
We consider the Potts model on a Cayley tree and prove the existence of Gibbs measures built by using the method suggested in [H. Akin, U. A. Rozikov, S. Temir, A new set of limiting Gibbs measures for the Ising model on a Cayley tree, J. Stat. Phys., 142, № 2, 314 – 321 (2011)]. In addition, we prove that there exist $(k_0)$-translation invariant Gibbs measures for the Potts model on a Cayley tree and calculate the free energy of these Gibbs measures.
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