Geodesic
The~$p$-adic Potts model on the Cayley tree of order three
Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 3, pp. 513-528

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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
Mots-clés : phase transition. 
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     author = {F. M. Mukhamedov and H. Akin},
     title = {The~$p$-adic {Potts} model on the {Cayley} tree of order three},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {513--528},
     publisher = {mathdoc},
     volume = {176},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_176_3_a12/}
}
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F. M. Mukhamedov; H. Akin. The~$p$-adic Potts model on the Cayley tree of order three. Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 3, pp. 513-528. http://geodesic.mathdoc.fr/item/TMF_2013_176_3_a12/