Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions

Ganikhodjaev, Nasir (2011) Strange attractor in the Potts model on a Cayley tree in the presence of competing interactions. Journal of Concrete and Applicable Mathematics, 9 (1). pp. 47-54. ISSN 1559-176X (O), 1548-5390 (P)

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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:	Article (Journal)
Additional Information:	4430/1740
Uncontrolled Keywords:	Potts model, recursive equations, attractor, phase diagram, phase transition.
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
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:	22 Nov 2011 16:20
Last Modified:	13 Dec 2011 15:06
URI:	http://irep.iium.edu.my/id/eprint/1740

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