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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 3, Pages 297–304
(Mi jsfu374)
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This article is cited in 6 scientific papers (total in 6 papers)
New periodic Gibbs measures for $q$-state Potts model on a Cayley tree
Rustamjon M. Khakimov
Institute of Mathematics, National University of Uzbekistan,
Do’rmon Yo’li, 29, Tashkent, 100125, Uzbekistan
Abstract:
In this paper under some conditions on parameters of the $q$-state Potts model on a Cayley tree of order k we prove existence of the periodic (non translation-invariant) Gibbs measures. Also we give a result about the number of such measures.
Keywords:
Cayley tree, configuration, Potts model, Gibbs measure, periodic Gibbs measures, translation-invariant measures.
Received: 06.03.2014
Received in revised form: 29.04.2014
Accepted: 26.05.2014
Citation:
Rustamjon M. Khakimov, “New periodic Gibbs measures for $q$-state Potts model on a Cayley tree”, J. Sib. Fed. Univ. Math. Phys., 7:3 (2014), 297–304
Linking options:
https://www.mathnet.ru/eng/jsfu374 https://www.mathnet.ru/eng/jsfu/v7/i3/p297
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| Abstract page: | 256 | | Full-text PDF : | 85 | | References: | 48 |
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