On the existence of phase transition for the 1D p-Adic countable state potts models

Mukhamedov, Farrukh (2015) On the existence of phase transition for the 1D p-Adic countable state potts models. Mathematical Notes, 98 (2). pp. 283-288. ISSN 0001-4346

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Abstract

In the present paper we establish the existence of a phase transition for one-dimensional the countable state p-adic Potts model. To establish such results, we investigate an infinite dimensional nonlinear p-adic operator associated with the model. It turns out that the finding condition does not depend on values of the prime p, and therefore, an analogous fact is not true when the number of spins is finite.

Item Type:	Article (Journal)
Additional Information:	5537/44199
Uncontrolled Keywords:	: p-adic numbers, countable state, Potts model, Cayley tree, Gibbs measure, phase transition, Markov process.
Subjects:	Q Science > QA Mathematics
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:	11 Aug 2015 14:35
Last Modified:	15 Nov 2017 09:11
URI:	http://irep.iium.edu.my/id/eprint/44199

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