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...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2011
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/7279/ http://irep.iium.edu.my/7279/1/Iriie2011_Ashraf.pdf |
| _version_ | 1848776816116891648 |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:36:06Z |
| format | Proceeding Paper |
| id | iium-7279 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:36:06Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 Proceeding Paper 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/ |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie Mohamed Nawi, Ashraf On some nonlinear dynamic systems arising in statistical mechanics |
| title | 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_short | On some nonlinear dynamic systems arising in statistical mechanics |
| title_sort | on some nonlinear dynamic systems arising in statistical mechanics |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/7279/ http://irep.iium.edu.my/7279/ http://irep.iium.edu.my/7279/1/Iriie2011_Ashraf.pdf |