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...
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| 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 |
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iium-16002011-11-08T07:14:28Z http://irep.iium.edu.my/1600/ On p-Adic quasi Gibbs Measures for q+1-state Potts model on the cayley tree Mukhamedov, Farrukh QA Mathematics QC Physics 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. Pleiades Publishing, Ltd 2010-09 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1600/1/mf-p-adic-uaa%282010%29.pdf Mukhamedov, Farrukh (2010) On p-Adic quasi Gibbs Measures for q+1-state Potts model on the cayley tree. p-Adic Numbers, Ultrametric Analysis and Applications, 2 (3). pp. 241-251. ISSN 2070-0466 http://www.springer.com/mathematics/algebra/journal/12607 |
| repository_type |
Digital Repository |
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Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics QC Physics |
| spellingShingle |
QA Mathematics QC Physics Mukhamedov, Farrukh On p-Adic quasi Gibbs Measures for q+1-state Potts model on the cayley tree |
| description |
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. |
| format |
Article |
| author |
Mukhamedov, Farrukh |
| author_facet |
Mukhamedov, Farrukh |
| author_sort |
Mukhamedov, Farrukh |
| title |
On p-Adic quasi Gibbs Measures for q+1-state Potts model on the cayley tree |
| title_short |
On p-Adic quasi Gibbs Measures for q+1-state Potts model on the cayley tree |
| title_full |
On p-Adic quasi Gibbs Measures for q+1-state Potts model on the cayley tree |
| title_fullStr |
On p-Adic quasi Gibbs Measures for q+1-state Potts model on the cayley tree |
| title_full_unstemmed |
On p-Adic quasi Gibbs Measures for q+1-state Potts model on the cayley tree |
| title_sort |
on p-adic quasi gibbs measures for q+1-state potts model on the cayley tree |
| publisher |
Pleiades Publishing, Ltd |
| publishDate |
2010 |
| url |
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 |
| first_indexed |
2023-09-18T20:08:59Z |
| last_indexed |
2023-09-18T20:08:59Z |
| _version_ |
1777407350115663872 |