On some nonlinear dynamic systems arising in statistical mechanics

On some nonlinear dynamic systems arising in statistical mechanics

For Potts model on a Cayley tree we produce recursive relations that provide us the numerically exact phase diagram of the 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 attr...

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Main Authors: Ganikhodjaev, Nasir, Mohd Rodzhan, Mohd Hirzie, Mohamed Nawi, Ashraf
Format: Conference or Workshop Item
Language:English
Published: 2011
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/7279/
http://irep.iium.edu.my/7279/
http://irep.iium.edu.my/7279/1/Iriie2011_Ashraf.pdf
id iium-7279
recordtype eprints
spelling iium-72792011-12-05T01:33:22Z http://irep.iium.edu.my/7279/ On some nonlinear dynamic systems arising in statistical mechanics Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie Mohamed Nawi, Ashraf QA Mathematics For Potts model on a Cayley tree we produce recursive relations that provide us the numerically exact phase diagram of the 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 be either continuous or abrupt, respectively characterizing second-or first- order phase transitions. We present a few typical attractors and at finite temperatures, several interesting features (evolution of reentrances, separation of the modulated region into few disconnected pieces, etc) are exhibited for typical values of parameters. 2011-02 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/7279/1/Iriie2011_Ashraf.pdf Ganikhodjaev, Nasir and Mohd Rodzhan, Mohd Hirzie and Mohamed Nawi, Ashraf (2011) On some nonlinear dynamic systems arising in statistical mechanics. In: IIUM Research, Invention and Innovation Exhibition IRIIE 2011, 9-10 February 2011, Kuala Lumpur, Malaysia. (Unpublished) http://www.iium.edu.my/irie/11/
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
Mohd Rodzhan, Mohd Hirzie
Mohamed Nawi, Ashraf
On some nonlinear dynamic systems arising in statistical mechanics
description For Potts model on a Cayley tree we produce recursive relations that provide us the numerically exact phase diagram of the 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 be either continuous or abrupt, respectively characterizing second-or first- order phase transitions. We present a few typical attractors and at finite temperatures, several interesting features (evolution of reentrances, separation of the modulated region into few disconnected pieces, etc) are exhibited for typical values of parameters.
format Conference or Workshop Item
author Ganikhodjaev, Nasir
Mohd Rodzhan, Mohd Hirzie
Mohamed Nawi, Ashraf
author_facet Ganikhodjaev, Nasir
Mohd Rodzhan, Mohd Hirzie
Mohamed Nawi, Ashraf
author_sort Ganikhodjaev, Nasir
title On some nonlinear dynamic systems arising in statistical mechanics
title_short On some nonlinear dynamic systems arising in statistical mechanics
title_full On some nonlinear dynamic systems arising in statistical mechanics
title_fullStr On some nonlinear dynamic systems arising in statistical mechanics
title_full_unstemmed On some nonlinear dynamic systems arising in statistical mechanics
title_sort on some nonlinear dynamic systems arising in statistical mechanics
publishDate 2011
url http://irep.iium.edu.my/7279/
http://irep.iium.edu.my/7279/
http://irep.iium.edu.my/7279/1/Iriie2011_Ashraf.pdf
first_indexed 2023-09-18T20:16:36Z
last_indexed 2023-09-18T20:16:36Z
_version_ 1777407828796899328

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