On p-Adic quasi Gibbs Measures for q+1-state Potts model on the cayley tree
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 divi...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Pleiades Publishing, Ltd
2010
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1600/ http://irep.iium.edu.my/1600/ http://irep.iium.edu.my/1600/1/mf-p-adic-uaa%282010%29.pdf |
| Summary: | 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. |
|---|