On the existence of phase transition for one dimensional P-adic countable state Potts model

Mukhamedov, Farrukh (2011) On the existence of phase transition for one dimensional P-adic countable state Potts model. In: International Seminar on the Application of Science & Mathematics 2011, 1-3 November 2011, Kuala Lumpur.

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Abstract

In the present paper we shall consider countable state p -adic Potts model on Z . A main aim is to establish the existence of the phase transition for the model. In our study, we essentially use one dimensionality of the model. To establish the phase transition we investigation of an infinite-dimensional nonlinear equation. We find a condition on weights to show that the derived equation has two solutions, which yields the existence of the phase transition. Note that 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:	Conference or Workshop Item (Full Paper)
Additional Information:	5537/12451
Uncontrolled Keywords:	p -adic numbers; countable state; Potts model; p -adic Gibbs measure; weight; phase transition.
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:	29 Dec 2011 15:24
Last Modified:	23 Aug 2015 21:33
URI:	http://irep.iium.edu.my/id/eprint/12451

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