Behaviors of phase diagrams of Ising model with competing ternary and binary interactions on a Cayley tree of arbitrary order

Akin, Hasan and Ganikhodjaev, Nasir and Uguz, Selman and Temir, Seyit (2012) Behaviors of phase diagrams of Ising model with competing ternary and binary interactions on a Cayley tree of arbitrary order. Acta Physica Polonica A, 121 (1). pp. 104-107. ISSN 0587-4246

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Abstract

An Ising model with competing interactions has recently been studied extensively because of the appearance of nontrivial magnetic orderings. In this paper, we study the phase diagrams for the Ising model on a Cayley tree with competing nearest-neighbor interactions J and ternary prolonged interactions Jtp on a Cayley tree of arbitrary order k and compare with the phase diagrams obtained in Uguz et al. and Vannimenus results for the Ising model on a Cayley tree with competing nearest-neighbor interactions J and ternary prolonged interactions Jp. For some values of k, we obtain phase diagrams of the model. We clarify the role of order k of the Cayley tree. We also plot the variation of the wave vector with temperature.

Item Type:	Article (Journal)
Additional Information:	4430/16010
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:	31 May 2012 13:54
Last Modified:	31 May 2012 13:54
URI:	http://irep.iium.edu.my/id/eprint/16010

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