On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree

Mukhamedov, Farrukh (2010) On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree. In: Proceedings of the 6th IMT-GT Internation Conference on Mathematics, Statistics and its Applications (ICMSA2010), 3-4 November 2010, Kuala Lumpur.

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Abstract

In the present paper we are going to investigate phase transition phenomena from the dynamical system point of view. Using the derived recursive relations we define one dimensional fractional p-adic dynamical system. We establish that if q is divisible by p, then such a dynamical system has two repelling and one attractive fixed points, in this case there exists the strong phase transition. If q is not divisible by p, then the fixed points are neutral, which implies the existence of the quasi phase transition.

Item Type:	Conference or Workshop Item (Keynote)
Additional Information:	5537/8074 (Proceedings of the 6th IMT-GT Conference on Mathematics, Statistics and its Applications (ICMSA2010)ISBN: 978-983-41743-3-0)
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:	30 Nov 2011 10:13
Last Modified:	30 Nov 2011 10:13
URI:	http://irep.iium.edu.my/id/eprint/8074

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