Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree

Ganikhodjaev, Nasir and Mohd Rodzhan, Mohd Hirzie (2015) Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. Journal of the Korean Physical Society, 66 (8). pp. 1200-1206. ISSN 1976-8524 (O), 0374-4884 (P)

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Abstract

We study the phase diagram of the Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. In addition to the expected ferromagnetic and paramagnetic phases, we present a new paramodulated phase. Morover, the transition lines are analyzed and they are in agreement with the lines obtained numerically. Lastly, the stability of the anti-ferromagnetic phase was studied in detail by investigating the Lyapunov exponent associated with the corresponding dynamical system.

Item Type:	Article (Journal)
Additional Information:	4430/44043
Uncontrolled Keywords:	Ising model, Cayley tree, Third nearest-neighbor interactions, Phase diagram, 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:	29 Jul 2015 09:13
Last Modified:	17 Nov 2017 14:31
URI:	http://irep.iium.edu.my/id/eprint/44043

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