On some nonlinear dynamic systems arising in statistical mechanics

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 (Unpublished)

PDF (poster) - Submitted Version Restricted to Registered users only Download (1MB) | Request a copy

Abstract

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.

Item Type:	Conference or Workshop Item (Poster)
Additional Information:	4430/7279
Uncontrolled Keywords:	Potts model, recursive equations, attractor, phase diagram, phase transition
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Prof. Nasir Ganikhodjaev
Date Deposited:	05 Dec 2011 09:33
Last Modified:	05 Dec 2011 09:33
URI:	http://irep.iium.edu.my/id/eprint/7279

Actions (login required)

View Item