On nonlinear dynamic system arising in Potts model

Ganikhodjaev, Nasir and Nawi, Mohamed Ashraf (2011) On nonlinear dynamic system arising in Potts model. In: Recent achievements in dynamical systems. Faculty of Science, Faculty of Biosciences and Faculty of Bioengineering UTM Skudai, with Faculty of Science and Technology, Universitas Airlangga, Indonesia, Kuala Lumpur, pp. 167-176. ISBN 978-983-418-201-4

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Abstract

From three-state Potts model we produce the recursion relations that provide us numerically exact phase diagrams of the Potts model. Each phase is characterized by a pafticular attractor and the phase diagram is obtained by following the evolution and detecting the qualitative changements of these attractors. Ihese changements can either be continuous or abrupt, respectively,characterizing second or first order transitions. We present a few typical attractors.

Item Type:	Book Chapter
Additional Information:	4430/14096
Uncontrolled Keywords:	Phase diagram, Potts model, nonlinear dynamic system, attractor
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:	Prof. Nasir Ganikhodjaev
Date Deposited:	01 Feb 2012 21:34
Last Modified:	16 May 2012 11:52
URI:	http://irep.iium.edu.my/id/eprint/14096

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