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Two Potts Models on Cayley Tree of Arbitrary Order

Ganikhodjaev, Nasir and Nawi, Ashraf Mohamed and Rodzhan, Mohd Hirzie (2012) Two Potts Models on Cayley Tree of Arbitrary Order. In: International Conference of Application Science & Technology (iCAST2012), 7-10 November 2012, Kuantan, Pahang.

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Abstract

On a Cayley tree of arbitrary order k we consider two different Potts models with competing nearest-neighbour interactions J1 and next-nearest-neighbour interactions Jp and Jo, where coupling Jp corresponds to interaction of spins belonging to the same branch of the tree (prolonged) and coupling Jo corresponds to interaction of spins belonging to the same shell of the tree (one-level) and find for each model in addition to the expected paramagnetic, ferromagnetic and antiferromagnetic phases, an intermediate range of coupling values where the local magnetization has chaotic oscillatory glass-like behaviour. We also show that the ranges corresponding two models are different

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 4430/26805
Uncontrolled Keywords: Cayley tree
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: 19 Nov 2012 17:51
Last Modified: 14 Aug 2013 17:06
URI: http://irep.iium.edu.my/id/eprint/26805

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