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...
| Main Authors: | , |
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| 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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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/14096/ http://irep.iium.edu.my/14096/11/ICORFASS_2009.pdf |
| _version_ | 1848777650049384448 |
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| author | Ganikhodjaev, Nasir Nawi, Mohamed Ashraf |
| author_facet | Ganikhodjaev, Nasir Nawi, Mohamed Ashraf |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:49:21Z |
| format | Book Chapter |
| id | iium-14096 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:49:21Z |
| publishDate | 2011 |
| publisher | Faculty of Science, Faculty of Biosciences and Faculty of Bioengineering UTM Skudai, with Faculty of Science and Technology, Universitas Airlangga, Indonesia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-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 PeerReviewed 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 |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Nawi, Mohamed 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/14096/ http://irep.iium.edu.my/14096/11/ICORFASS_2009.pdf |