Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree

Ganikhodjaev, Nasir and Nawi, Ashraf Mohamed and Rodzhan, Mohd Hirzie (2013) Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree. In: IIUM Research, Invention and Innovation Exhibition 2013, 19 - 20 February 2013, Cultural Activity Centre (CAC) and KAED Gallery, IIUM.

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Abstract

We study the phase diagrams for the Potts model with restricted competing nearest-neighbor interactions J1 and ternary interactions Jpt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of Jpt/J1 and T/J1. The phase diagrams are obtained from stability conditions, and characteristic points in the iteration scheme are numerically analyzed. The wavevectors versus temperature are plotted for some critical points in the modulated phases. Then, we using the Lyapunov exponent to verify the stability of the periods.

Item Type:	Conference or Workshop Item (Poster)
Additional Information:	4430/29180
Uncontrolled Keywords:	Potts model, Cayley tree, ternary interactions, phase diagram, modulated phases, average magnetization, Lyapunov exponent
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:	Prof. Nasir Ganikhodjaev
Date Deposited:	09 Oct 2013 15:59
Last Modified:	09 Oct 2013 15:59
URI:	http://irep.iium.edu.my/id/eprint/29180

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