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

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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.

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Author information

Authors and Affiliations

  1. Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University, Malaysia, Pahang, Malaysia

    F. Mukhamedov

  2. Faculty of Education, Zirve University, Gaziantep, Turkey

    H. Akin

Authors
  1. F. Mukhamedov
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  2. H. Akin
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Corresponding author

Correspondence to F. Mukhamedov.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 176, No. 3, pp. 513–529, September 2013.

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Mukhamedov, F., Akin, H. The p-adic Potts model on the Cayley tree of order three. Theor Math Phys 176, 1267–1279 (2013). https://doi.org/10.1007/s11232-013-0105-2

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  • DOI: https://doi.org/10.1007/s11232-013-0105-2

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