λ-model with competing Potts interactions on Cayley tree of order 2
In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-neighbor and prolonged next-nearest neighbor-interactions. We described the construction of the Gibbs measure for the considered model. We proved the existence of the translation-invariant limiting Gib...
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
American Institute of Physics Inc.
2018
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/1/66694_%CE%BB-model%20with%20competing%20Potts.pdf http://irep.iium.edu.my/66694/2/66694_%CE%BB-model%20with%20competing%20Potts_SCOPUS.pdf |
| Summary: | In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-neighbor and
prolonged next-nearest neighbor-interactions. We described the construction of the Gibbs measure for the considered
model. We proved the existence of the translation-invariant limiting Gibbs measures for the model. |
|---|