Physics – Mathematical Physics
Scientific paper
2006-08-09
Physics
Mathematical Physics
8 pages
Scientific paper
10.1088/1742-5468/2006/10/P10006
In the paper we generalize results of paper [12] for a $q$- component models on a Cayley tree of order $k\geq 2$. We generalize them in two directions: (1) from $k=2$ to any $k\geq 2;$ (2) from concrete examples (Potts and SOS models) of $q-$ component models to any $q$- component models (with nearest neighbor interactions). We give a set of periodic ground states for the model. Using the contour argument which was developed in [12] we show existence of $q$ different Gibbs measures for $q$-component models on Cayley tree of order $k\geq 2$.
Botirov G. I.
Rozikov Utkir A.
No associations
LandOfFree
On $q$- Component Models on Cayley Tree: The General Case 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 $q$- Component Models on Cayley Tree: The General Case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On $q$- Component Models on Cayley Tree: The General Case will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-247896