On ground states and phase transition for λ-model with the competing Potts interactions on Cayley trees

Mukhamedov, Farrukh and Pah, Chin Hee and Jamil, Hakim and Rahimatullaev, Muzaffar (2020) On ground states and phase transition for λ-model with the competing Potts interactions on Cayley trees. Physica A: Statistical Mechanics and its Applications, 549. pp. 1-18. ISSN 0378-4371 E-ISSN 1873-2119

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Abstract

In this paper, the λ-model with nearest neighbor interactions is considered with competing Potts interactions on the Cayley tree of order-two. Notice that if λ-function is taken as a Potts interaction function, then this model reduces to the Potts model with competing interactions. The Potts model with considered interactions has only been numerically investigated, hence we aim to propose a measure-theoretical approach for the considered model in a more general setting. Therefore, first ground states of the model are described. Furthermore, certain conditions for the existence of Gibbs measures corresponding to the model are found, which allows the establishment of the existence of the phase transition.

Item Type:	Article (Journal)
Additional Information:	5826/80398
Uncontrolled Keywords:	Ground state, Phase transition, Potts model, Competing interaction
Subjects:	Q Science > Q Science (General)
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	DR. CHIN HEE PAH
Date Deposited:	09 May 2020 00:09
Last Modified:	09 May 2020 00:10
URI:	http://irep.iium.edu.my/id/eprint/80398

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