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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 176, Number 3, Pages 513–528
DOI: https://doi.org/10.4213/tmf8522 (Mi tmf8522) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The $p$-adic Potts model on the Cayley tree of order three

F. M. Mukhamedova, H. Akinb

a Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, Pahang, Malaysia
b Faculty of Education, Zirve University, Gaziantep, Turkey
Full-text PDF (513 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf8522
Abstract: We study a phase transition problem for the $q$-state $p$-adic Potts model on the Cayley tree of order three. We find certain conditions for the existence of $p$-adic Gibbs measures and then establish the existence of a phase transition.
Keywords: $p$-adic number, Potts model, $p$-adic quasi-Gibbs measure, phase transition.
Received: 17.02.2013
English version:
Theoretical and Mathematical Physics, 2013, Volume 176, Issue 3, Pages 1267–1279
DOI: https://doi.org/10.1007/s11232-013-0105-2
Bibliographic databases:
MSC: 46S10, 82B26, 12J12, 39A70, 47H10, 60K35
Language: Russian
Citation: F. M. Mukhamedov, H. Akin, “The $p$-adic Potts model on the Cayley tree of order three”, TMF, 176:3 (2013), 513–528; Theoret. and Math. Phys., 176:3 (2013), 1267–1279
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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