On p-Adic Quasi Gibbs Measures for q

被引：0

作者：

Mukhamedov, Farrukh ^{[1
]}

机构：

[1] Int Islamic Univ Malaysia, Dept Computat & Theoret Sci, Fac Sci, POB 141, Kuantan 25710, Pahang, Malaysia

来源：

P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2010年 / 2卷 / 03期

关键词：

p-adic numbers; Potts model; p-adic quasi Gibbs measure; phase transition;

D O I：

10.1134/S2070046610030064

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we introduce a new kind of p-adic measures, associated with q + 1-state Potts model, called p-adic quasi Gibbs measure, which is totally different from the p-adic Gibbs measure. We establish the existence of p-adic quasi Gibbs measures for the model on a Cayley tree. If q is divisible by p, then we prove the occurrence of a strong phase transition. If q and p are relatively prime, then there is a quasi phase transition. These results are totally different from the results of [F. M. Mukhamedov and U. A. Rozikov, Indag. Math. N. S. 15, 85-100 (2005)], since when q is divisible by p, which means that q + 1 is not divided by p, so according to a main result of the mentioned paper, there is a unique and bounded p-adic Gibbs measure (different from p-adic quasi Gibbs measure)

引用

页码：241 / 251

页数：11

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