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Multidimensional mapping for Potts model with competing interactions

Ganikhodjaev, Nasir and Mohd Rodzhan, Mohd Hirzie (2011) Multidimensional mapping for Potts model with competing interactions. In: Annual Conference on Operations Research and Statistics (ORS 2011), 7-8 April 2011, Penang, Malaysia.

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Abstract

We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing interactions: nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level binary 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 neighbor binary interaction J0.

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 4430/1717
Uncontrolled Keywords: Component; Potts model; Cayley tree; phase diagram; one-level; modulated phase; average magnetization
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Prof. Nasir Ganikhodjaev
Date Deposited: 18 Nov 2011 11:36
Last Modified: 05 Dec 2011 12:29
URI: http://irep.iium.edu.my/id/eprint/1717

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