@inproceedings{044d3d0145cf48aaa9342724187620a7,

title = "On phase transitions for p-adic potts model with competing interactions on a cayley tree",

abstract = "In the paper we consider three state p-adic Potts model with competing interactions on a Cayley tree of order two. We reduce a problem of describing of the p-adic Gibbs measures to the solution of certain recursive equation, and using it we will prove that a phase transition occurs if and only if p = 3 for any value (non zero) of interactions. As well, we completely solve the uniqueness problem for the considered model in a p-adic context. Namely, if p ≠ 3 then there is only a unique Gibbs measure the model.",

keywords = "Cayley tree, Gibbs measure, Phase transition, Potts model, Uniqueness, p-adic field",

author = "Mukhamedov, {F. M.} and Rozikov, {U. A.} and Mendes, {J. F.F.}",

year = "2006",

month = mar,

day = "29",

doi = "10.1063/1.2193118",

language = "English",

isbn = "073540318X",

series = "AIP Conference Proceedings",

pages = "140--150",

booktitle = "P-ADIC MATHEMATICAL PHYSICS",

note = "2nd International Conference on p-Adic Mathematical Physics ; Conference date: 15-09-2005 Through 21-09-2005",

}