Abstract
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.
Original language | English |
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Pages (from-to) | 241-251 |
Number of pages | 11 |
Journal | P-Adic Numbers, Ultrametric Analysis, and Applications |
Volume | 2 |
Issue number | 3 |
DOIs | |
Publication status | Published - Sept 1 2010 |
Externally published | Yes |
Keywords
- Potts model
- p-adic numbers
- p-adic quasi Gibbs measure
- phase transition
ASJC Scopus subject areas
- General Mathematics