Email this article Translation Invariance of the Periodic Gibbs Measures for the Potts Model on the Cayley Tree
- Authors: Khakimov R.M.1, Makhammadaliev M.T.1
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Affiliations:
- Namangan State University
- Issue: Vol 199, No 2 (2019)
- Pages: 726-735
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/172260
- DOI: https://doi.org/10.1134/S004057791905009X
- ID: 172260
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Abstract
We study the Potts model with a zero external field on the Cayley tree. For the antiferromagnetic Potts model with q states on a second-order Cayley tree and for the ferromagnetic Potts model with q states on a kth-order Cayley tree, we show that all periodic Gibbs measures are translation-invariant for all parameter values.
About the authors
R. M. Khakimov
Namangan State University
Author for correspondence.
Email: rustam-7102@rambler.ru
Uzbekistan, Namangan
M. T. Makhammadaliev
Namangan State University
Author for correspondence.
Email: mmtmuxtor93@mail.ru
Uzbekistan, Namangan
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