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

Ganikhodjaev, Nasir and Mohamed Nawi, Ashraf and Rodzhan, Mohd Hirzie (2012) Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree. Journal of the Korean Physical Society, 61 (7). pp. 998-1004. ISSN 1976-8524 (O), 0374-4884 (P)

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Abstract

We study the phase diagrams for the Potts model with restricted competing nearest-neighbor interactions J 1 and ternary interactions J pt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of J pt /J 1 and T/J 1. 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:	Article (Journal)
Additional Information:	4430/26111
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:	02 Nov 2012 08:41
Last Modified:	06 Nov 2012 17:50
URI:	http://irep.iium.edu.my/id/eprint/26111

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