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

F. M. Mukhamedov, U. A. Rozikov, J. F.F. Mendes

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Citations (Scopus)

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.

Original languageEnglish
Title of host publicationP-ADIC MATHEMATICAL PHYSICS
Subtitle of host publication2nd International Conference on p-Adic Mathematical Physics
Pages140-150
Number of pages11
DOIs
Publication statusPublished - Mar 29 2006
Externally publishedYes
Event2nd International Conference on p-Adic Mathematical Physics - Belgrade
Duration: Sep 15 2005Sep 21 2005

Publication series

NameAIP Conference Proceedings
Volume826
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Conference on p-Adic Mathematical Physics
CityBelgrade
Period9/15/059/21/05

Keywords

  • Cayley tree
  • Gibbs measure
  • Phase transition
  • Potts model
  • Uniqueness
  • p-adic field

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

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