This article is cited in 5 papers

Weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree

M. M. Rakhmatullaev

Institute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan

Abstract: We study weakly periodic Gibbs measures of the Ising model with an external field on the Cayley tree. We prove that under some conditions on the model parameters, there exist at least two weakly periodic Gibbs measures for the antiferromagnetic Ising model with an external field.

Keywords: Cayley tree, Gibbs measure, Ising model with external field, weakly periodic measure.

Received: 17.09.2014

DOI: 10.4213/tmf8796

 English version: Theoretical and Mathematical Physics, 2015, 183:3, 822–828

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