This article is cited in 26 papers

Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree

M. M. Rakhmatullaev

Namangant State University, Uzbekistan

Abstract: For the Potts model with competing interactions, we describe the set of weakly periodic ground states corresponding to index-two normal divisors of the Cayley tree group representation. We also study some weakly periodic Gibbs measures.

Keywords: Cayley tree, Gibbs measure, Potts model, weakly periodic ground state.

Received: 11.03.2013

DOI: 10.4213/tmf8530

 English version: Theoretical and Mathematical Physics, 2013, 176:3, 1236–1251

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