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On Phase Transitions for p-Adic Potts Model with Competing Interactions on a Cayley Tree.
- Source :
-
AIP Conference Proceedings . 2006, Vol. 826 Issue 1, p140-150. 11p. - Publication Year :
- 2006
-
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. © 2006 American Institute of Physics [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 826
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 20361892
- Full Text :
- https://doi.org/10.1063/1.2193118