Phase diagrams of Potts model with competing binary-ternary-quaternary interactions on Cayley tree

Baki, Nurul Farahana Ififi Omar and Mohd Rodzhan, Mohd. Hirzie (2019) Phase diagrams of Potts model with competing binary-ternary-quaternary interactions on Cayley tree. In: The 4th Innovation and Analytics Conference & Exhibition (IACE 2019), 25th–28th March 2019, Sintok, Kedah.

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Abstract

We study the phase diagrams for the Potts model with competing binary, ternary and quaternary interactions on Cayley tree of order 2. At vanishing temperature T, the phase diagram is fully determined for all values of competing binary, ternary and quaternary interactions. We extend the results (for the case Jq = 0) obtained by Ganikhodjaev et. al. [9]. The results show that the appearance of addition phases: antiferromagnetic and Period 6, in the case of nonzero quaternary interactions for several ranges. Then, we investigate the modulated phase, with the phase being indicated by many different types of commensurate and incommensurate phases by plotting the wavevectors versus temperature. Lastly, the Lyapunov exponent is used to verify the stability of the periods.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	7830/74655
Uncontrolled Keywords:	Phase diagrams of Potts model, competing binary-ternary-quaternary interactions, 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
Depositing User:	Mr Mohd Hirzie Mohd Rodzhan
Date Deposited:	03 Oct 2019 10:55
Last Modified:	20 May 2020 15:54
URI:	http://irep.iium.edu.my/id/eprint/74655

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