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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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
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Online Access:http://irep.iium.edu.my/14096/11/ICORFASS_2009.pdf
http://irep.iium.edu.my/14096/
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spelling my.iium.irep.140962012-05-16T03:52:40Z http://irep.iium.edu.my/14096/ On nonlinear dynamic system arising in Potts model Ganikhodjaev, Nasir Nawi, Mohamed Ashraf QA Mathematics 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. Faculty of Science, Faculty of Biosciences and Faculty of Bioengineering UTM Skudai, with Faculty of Science and Technology, Universitas Airlangga, Indonesia 2011-06-02 Book Chapter REM application/pdf en http://irep.iium.edu.my/14096/11/ICORFASS_2009.pdf 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
Nawi, Mohamed Ashraf
On nonlinear dynamic system arising in Potts model
description 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.
format Book Chapter
author Ganikhodjaev, Nasir
Nawi, Mohamed Ashraf
author_facet Ganikhodjaev, Nasir
Nawi, Mohamed Ashraf
author_sort Ganikhodjaev, Nasir
title On nonlinear dynamic system arising in Potts model
title_short On nonlinear dynamic system arising in Potts model
title_full On nonlinear dynamic system arising in Potts model
title_fullStr On nonlinear dynamic system arising in Potts model
title_full_unstemmed On nonlinear dynamic system arising in Potts model
title_sort on nonlinear dynamic system arising in potts model
publisher Faculty of Science, Faculty of Biosciences and Faculty of Bioengineering UTM Skudai, with Faculty of Science and Technology, Universitas Airlangga, Indonesia
publishDate 2011
url http://irep.iium.edu.my/14096/11/ICORFASS_2009.pdf
http://irep.iium.edu.my/14096/
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score 13.15806