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On p-adic quasi Gibbs measures for q + 1-state Potts model on the Cayley tree
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mukhamedov, Farrukh |
| Copyright Year | 2010 |
| 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. 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) |
| Starting Page | 241 |
| Ending Page | 251 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1134/S2070046610030064 |
| Volume Number | 2 |
| Alternate Webpage(s) | http://users.ictp.it/~pub_off/preprints-sources/2010/IC2010035P.pdf |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1134/S2070046610030064 |
| Alternate Webpage(s) | https://doi.org/10.1134/S2070046610030064 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |