On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree
In the present paper we are going to investigate phase transition phenomena from the dynamical system point of view. Using the derived recursive relations we define one dimensional fractional p-adic dynamical system. We establish that if q is divisible by p, then such a dynamical system has two repe...
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| Format: | Proceeding Paper |
| Language: | English |
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2010
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| Online Access: | http://irep.iium.edu.my/8074/1/mf-conf-2010.pdf |
| _version_ | 1796875587572203520 |
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| author | Mukhamedov, Farrukh |
| author_facet | Mukhamedov, Farrukh |
| author_sort | Mukhamedov, Farrukh |
| collection | IIUM |
| description | In the present paper we are going to investigate phase transition phenomena from the dynamical system point of view. Using the derived recursive relations we define one dimensional fractional p-adic dynamical system. We establish that if q is divisible by p, then such a dynamical system has two repelling and one attractive
fixed points, in this case there exists the strong phase transition. If q is not divisible by p, then the fixed points are neutral, which implies the existence of the quasi phase transition. |
| first_indexed | 2024-03-05T22:40:52Z |
| format | Proceeding Paper |
| id | oai:generic.eprints.org:8074 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:40:52Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oai:generic.eprints.org:80742011-11-30T02:13:34Z http://irep.iium.edu.my/8074/ On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree Mukhamedov, Farrukh QA Mathematics In the present paper we are going to investigate phase transition phenomena from the dynamical system point of view. Using the derived recursive relations we define one dimensional fractional p-adic dynamical system. We establish that if q is divisible by p, then such a dynamical system has two repelling and one attractive fixed points, in this case there exists the strong phase transition. If q is not divisible by p, then the fixed points are neutral, which implies the existence of the quasi phase transition. 2010-11 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/8074/1/mf-conf-2010.pdf Mukhamedov, Farrukh (2010) On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree. In: Proceedings of the 6th IMT-GT Internation Conference on Mathematics, Statistics and its Applications (ICMSA2010), 3-4 November 2010, Kuala Lumpur. http://research.utar.edu.my/CMS/ICMSA2010/ICMSA2010_Proceedings/files/keynotes_invited/I-Mukhamedov.pdf |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree |
| title | On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree |
| title_full | On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree |
| title_fullStr | On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree |
| title_full_unstemmed | On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree |
| title_short | On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree |
| title_sort | on dynamical systems and phase transitions for q 1 state p adic potts model on the cayley tree |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/8074/1/mf-conf-2010.pdf |
| work_keys_str_mv | AT mukhamedovfarrukh ondynamicalsystemsandphasetransitionsforq1statepadicpottsmodelonthecayleytree |