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Exact solution for an Ising model on the Cayley tree of order

Jamil, Hakim and Pah, Chin Hee (2016) Exact solution for an Ising model on the Cayley tree of order. In: 2015 National Symposium of Mathematical Sciences, 24–26 November 2015, Johor Bahru, Malaysia.

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We investigate an Ising model with two restricted competing interactions (nearest neighbors, and one-level neighbors) on the Cayley tree of order 5. The translation Gibbs measures is considered for this model. Our result of the critical curve shows that the phase transition occurs in this model, further it confirms a particular case of a conjecture

Item Type: Conference or Workshop Item (Invited Papers)
Additional Information: 5826/51153
Uncontrolled Keywords: recurrent equation; critical curve; phase transition
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: DR. CHIN HEE PAH
Date Deposited: 13 Jul 2016 08:57
Last Modified: 13 Mar 2017 22:12
URI: http://irep.iium.edu.my/id/eprint/51153

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