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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: Annual International 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 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: Conference or Workshop Item (Full Paper)
Additional Information: 4430/1718 (The Conference Proceedings (Print ISSN: 2251-1938, E-Periodical ISSN: 2251-1946, ISBN: 978-981-08-8407-9) will be indexed by EBSCO, CrossRef, Proquest and will be submitted to Scopus, ScienceDirect and amongst others, where applicable
Uncontrolled Keywords: Potts model; Cayley tree; phase diagram; one-level next-nearest-neighbour; modulated phase; average magnetization
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Prof. Nasir Ganikhodjaev
Date Deposited: 30 Nov 2011 16:27
Last Modified: 30 Nov 2011 16:27
URI: http://irep.iium.edu.my/id/eprint/1718

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