Potts model with competing binary-ternary-quaternary interactions on cayley tree

Ganikhodjaev, Nasir and Mohd Rodzhan, Mohd Hirzie and Omar Baki, Nurul Farahana Ififi (2020) Potts model with competing binary-ternary-quaternary interactions on cayley tree. In: 5th International Conference on Mathematical Applications in Engineering 2019, 30th - 31st Oct. 2019, Putrajaya International Convention Centre Putrajaya, Malaysia.

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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:	4430/82718
Uncontrolled Keywords:	Binary trees, Forestry, Graph Databases, Lyapunov methods, Phase diagrams
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics > QA75 Electronic computers. Computer science
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:	Prof. Nasir Ganikhodjaev
Date Deposited:	07 Sep 2020 16:29
Last Modified:	07 Sep 2020 16:29
URI:	http://irep.iium.edu.my/id/eprint/82718

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