On p-adic Ising–Vannimenus model on an arbitrary order Cayley tree

Mukhamedov, Farrukh and Saburov, Mansoor and Khakimov, Otabek (2015) On p-adic Ising–Vannimenus model on an arbitrary order Cayley tree. Journal of Statistical Mechanics: Theory and Experiment, 2015 (5). P05032. ISSN 1742-5468 (O)

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Abstract

In this paper, we continue an investigation of the p-adic Ising– Vannimenus model on the Cayley tree of an arbitrary order k (k > 2). We prove the existence of p-adic quasi Gibbs measures by analyzing fixed points of multidimensional p-adic system of equations. We are also able to show the uniqueness of translation-invariant p-adic Gibbs measure. Finally, it is established the existence of the phase transition for the Ising–Vannimenus model depending on the order k of the Cayley tree and the prime p. Note that the methods used in the paper are not valid in the real setting, since all of them are based on p-adic analysis and p-adic probability measures.

Item Type:	Article (Journal)
Additional Information:	5537/44018
Uncontrolled Keywords:	solvable lattice models, phase diagrams (theory)
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	27 Jul 2015 09:00
Last Modified:	09 Apr 2019 10:03
URI:	http://irep.iium.edu.my/id/eprint/44018

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