Muzaffar Rahmatullaev, Akbarkhuja Tukhtabaev, Nurkhon Samijonova
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引用次数: 0
Abstract
In the present paper, we study the weakly periodic p-adic quasi-Gibbs measures for the three-state Potts model on a Cayley tree of order two. Under some conditions, we show there exist 14 weakly periodic (non-periodic) p-adic quasi-Gibbs measures. Moreover, if \(p=3\) then there are six weakly periodic p-adic Gibbs measures for this model. We also prove that if \(p\ne 3\) then a phase transition occurs for the Potts model on a Cayley tree of order two.
期刊介绍：
The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.
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