TY - JOUR
T1 - On p-adic quasi Gibbs measures for q + 1-state Potts model on the Cayley tree
AU - Mukhamedov, Farrukh
N1 - Funding Information:
The present study has been done within the grant FRGS0409-109 of Malaysian Ministry of Higher Education. Final part of the present work was done while the author was visiting the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy as a Junior Associate. He would like to thank the Centre for hospitality and financial support.
Publisher Copyright:
© 2010, Pleiades Publishing, Ltd.
PY - 2010/9/1
Y1 - 2010/9/1
N2 - 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.
AB - 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.
KW - Potts model
KW - p-adic numbers
KW - p-adic quasi Gibbs measure
KW - phase transition
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U2 - 10.1134/S2070046610030064
DO - 10.1134/S2070046610030064
M3 - Article
AN - SCOPUS:84870453386
SN - 2070-0466
VL - 2
SP - 241
EP - 251
JO - P-Adic Numbers, Ultrametric Analysis, and Applications
JF - P-Adic Numbers, Ultrametric Analysis, and Applications
IS - 3
ER -