On phase transitions of the Potts model with three competing interactions on Cayley tree

Details On phase transitions of the Potts model with three competing interactions on Cayley tree On phase transitions of the Potts model with three competing interactions on Cayley tree

2007-03-23

arxiv.org/abs/math/0703699v2

Condens. Matter Phys., 2011, vol. 14, No. 2, 23003:1-11

Mathematics

Functional Analysis

11 pages, 3 figures. Published version with title changed

Scientific paper

10.5488/CMP.14.23003

In the present paper we study a phase transition problem for the Potts model with three competing interactions, the nearest neighbors, the second neighbors and triples of neighbors and non-zero external field on Cayley tree of order two. We prove that for some parameter values of the model there is phase transition. We reduce the problem of describing by limiting Gibbs measures to the problem of solving a system of nonlinear functional equations. We extend the results obtained by Ganikhodjaev and Rozikov [Math. Phys. Anal. Geom., 2009, 12, No. 2, 141-156] on phase transition for the Ising model to the Potts model setting.

Affiliated with

Also associated with

No associations

Rating

On phase transitions of the Potts model with three competing interactions on Cayley tree does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On phase transitions of the Potts model with three competing interactions on Cayley tree, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On phase transitions of the Potts model with three competing interactions on Cayley tree will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-164792