λ-model with competing Potts interactions on Cayley tree of order 2

Mukhamedov, Farrukh and Pah, Chin Hee and Jamil, Hakim (2018) λ-model with competing Potts interactions on Cayley tree of order 2. In: International Conference on Mathematics, Engineering and Industrial Applications (ICoMEIA 2018, 24th-26th July 2018, Kuala Lumpur.

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Abstract

In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-neighbor and prolonged next-nearest neighbor-interactions. We described the construction of the Gibbs measure for the considered model. We proved the existence of the translation-invariant limiting Gibbs measures for the model.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	5826/66694
Uncontrolled Keywords:	λ-model, competing Potts, Cayley tree
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 Kulliyyah of Science
Depositing User:	DR. CHIN HEE PAH
Date Deposited:	17 Oct 2018 16:53
Last Modified:	17 Oct 2018 16:53
URI:	http://irep.iium.edu.my/id/eprint/66694

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