Email this article A p-adic hard-core model with three states on a Cayley tree
- Authors: Khakimov O.N.1
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Affiliations:
- Institute of Mathematics
- Issue: Vol 57, No 4 (2016)
- Pages: 726-734
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170644
- DOI: https://doi.org/10.1134/S0037446616040145
- ID: 170644
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Abstract
We examine the p-adic hard-core model with three states on a Cayley tree. Translationinvariant and periodic p-adic Gibbs measures are studied for the hard-core model for k = 2. We prove that every p-adic Gibbs measure is bounded for p ≠ 2. We show in particular that there is no strong phased transition for a hard-core model on a Cayley tree of order k.
About the authors
O. N. Khakimov
Institute of Mathematics
Author for correspondence.
Email: hakimovo@mail.ru
Uzbekistan, Tashkent
