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 particular attractor and the phase diagram is obtained by following the evolution and detecting the qualitative changements of these a...

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Main Authors: Ganikhodjaev, Nasir, Nawi, Mohamad Ashraf
Format: Proceeding Paper
Language:English
Published: 2009
Subjects:
Online Access:http://irep.iium.edu.my/14097/2/PosterPresentationICORAFSS.pdf
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author Ganikhodjaev, Nasir
Nawi, Mohamad Ashraf
author_facet Ganikhodjaev, Nasir
Nawi, Mohamad Ashraf
author_sort Ganikhodjaev, Nasir
collection IIUM
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 particular attractor and the phase diagram is obtained by following the evolution and detecting the qualitative changements of these attractors. These changements can either be continuous or abrupt, respectively, characterizing second or first order transitions. We present a few typical attractors.
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spelling oai:generic.eprints.org:140972012-02-16T12:18:49Z http://irep.iium.edu.my/14097/ On nonlinear dynamic system arising in Potts model Ganikhodjaev, Nasir Nawi, Mohamad 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 particular attractor and the phase diagram is obtained by following the evolution and detecting the qualitative changements of these attractors. These changements can either be continuous or abrupt, respectively, characterizing second or first order transitions. We present a few typical attractors. 2009-06-04 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/14097/2/PosterPresentationICORAFSS.pdf Ganikhodjaev, Nasir and Nawi, Mohamad Ashraf (2009) On nonlinear dynamic system arising in Potts model. In: Second International Conference and Workshops on Basic and Applied Sciences Regional Annual Fundamental Science Seminar 2009 , June 2-4, 2009, Johor Bahru, Malaysia.
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
Nawi, Mohamad Ashraf
On nonlinear dynamic system arising in Potts model
title 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_short On nonlinear dynamic system arising in Potts model
title_sort on nonlinear dynamic system arising in potts model
topic QA Mathematics
url http://irep.iium.edu.my/14097/2/PosterPresentationICORAFSS.pdf
work_keys_str_mv AT ganikhodjaevnasir onnonlineardynamicsystemarisinginpottsmodel
AT nawimohamadashraf onnonlineardynamicsystemarisinginpottsmodel