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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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Main Author: Mukhamedov, Farrukh
Format: Conference or Workshop Item
Language:English
Published: 2010
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/8074/1/mf-conf-2010.pdf
http://irep.iium.edu.my/8074/
http://research.utar.edu.my/CMS/ICMSA2010/ICMSA2010_Proceedings/files/keynotes_invited/I-Mukhamedov.pdf
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spelling my.iium.irep.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 Conference or Workshop Item REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree
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.
format Conference or Workshop Item
author Mukhamedov, Farrukh
author_facet Mukhamedov, Farrukh
author_sort Mukhamedov, Farrukh
title 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_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_sort on dynamical systems and phase transitions for q + 1-state p-adic potts model on the cayley tree
publishDate 2010
url http://irep.iium.edu.my/8074/1/mf-conf-2010.pdf
http://irep.iium.edu.my/8074/
http://research.utar.edu.my/CMS/ICMSA2010/ICMSA2010_Proceedings/files/keynotes_invited/I-Mukhamedov.pdf
_version_ 1643606064376053760
score 13.160551

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