Potts model with competing interactions on a Cayley tree of k-th order

Ganikhodjaev, Nasir and Mohamed Nawi, Ashraf (2011) Potts model with competing interactions on a Cayley tree of k-th order. In: Proceedings of the Annual International Conference on Operations Research and Statistics (ORS 2011). Operations Research and Statistics 2011 & GST, Singapore, pp. 122-127. ISBN 9789810884079 (pbk.)

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Abstract

We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level k-tuple neighbors interaction J0. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established; it recovers as particular case, previous works by Ganikhodjaev et al for k = 2. The phase diagram is studied for several ranges of the competing parameters showing the appearance of several features and modulated phase arising from the frustration effects introduced by the one-level k-tuple neighbor interaction J0.

Item Type:	Book Chapter
Additional Information:	4430/14402
Uncontrolled Keywords:	Potts model; Cayley tree; phase diagram; one-level next-nearest-neighbour; modulated phase; average magnetization
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:	03 Feb 2012 08:46
Last Modified:	03 Feb 2012 09:27
URI:	http://irep.iium.edu.my/id/eprint/14402

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