On nonlinear dynamic system arising in Potts model

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...

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Bibliographic Details
Main Authors: Ganikhodjaev, Nasir, Nawi, Mohamed Ashraf
Format: Book Chapter
Language:English
Published: Faculty of Science, Faculty of Biosciences and Faculty of Bioengineering UTM Skudai, with Faculty of Science and Technology, Universitas Airlangga, Indonesia 2011
Subjects:
Online Access:http://irep.iium.edu.my/14096/
http://irep.iium.edu.my/14096/11/ICORFASS_2009.pdf
Description
Summary: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.