On p-adic Gibbs measures for Ising model with four competing interactions

In this paper we consider a p -adic Ising model with four competing interactions (nearest neighbor, second neighbors and triples of neighbors) on the Cayley tree of order two. We show the uniqueness of the p -adic Gibbs measure for the model. Moreover, we consider p -adic quasi Gibbs measure for the...

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Bibliographic Details
Published in:P-adic numbers, ultrametric analysis, and applications ultrametric analysis, and applications, 2013-07, Vol.5 (3), p.194-203
Main Author: Khakimov, O. N.
Format: Article
Language:English
Subjects:
Algebra
Mathematics
Mathematics and Statistics
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Summary:In this paper we consider a p -adic Ising model with four competing interactions (nearest neighbor, second neighbors and triples of neighbors) on the Cayley tree of order two. We show the uniqueness of the p -adic Gibbs measure for the model. Moreover, we consider p -adic quasi Gibbs measure for the model.
ISSN:2070-0466
2070-0474
DOI:10.1134/S2070046613030023