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

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

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 interactio...

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Main Authors: Akin, Hasan, Ganikhodjaev, Nasir, Uguz, Selman, Temir, Seyit
Format: Article
Language:English
Published: Polish Academy of Sciences Publishing House 2012
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/16010/
http://irep.iium.edu.my/16010/
http://irep.iium.edu.my/16010/1/Acta_Physica_Polonica_A_AGUT.pdf
id iium-16010
recordtype eprints
spelling iium-160102012-05-31T05:54:16Z http://irep.iium.edu.my/16010/ Behaviors of phase diagrams of Ising model with competing ternary and binary interactions on a Cayley tree of arbitrary order Akin, Hasan Ganikhodjaev, Nasir Uguz, Selman Temir, Seyit QA Mathematics 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. Polish Academy of Sciences Publishing House 2012-01 Article PeerReviewed application/pdf en http://irep.iium.edu.my/16010/1/Acta_Physica_Polonica_A_AGUT.pdf 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 http://przyrbwn.icm.edu.pl/APP/PDF/121/a121z1p31.pdf
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Akin, Hasan
Ganikhodjaev, Nasir
Uguz, Selman
Temir, Seyit
Behaviors of phase diagrams of Ising model with competing ternary and binary interactions on a Cayley tree of arbitrary order
description 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.
format Article
author Akin, Hasan
Ganikhodjaev, Nasir
Uguz, Selman
Temir, Seyit
author_facet Akin, Hasan
Ganikhodjaev, Nasir
Uguz, Selman
Temir, Seyit
author_sort Akin, Hasan
title Behaviors of phase diagrams of Ising model with competing ternary and binary interactions on a Cayley tree of arbitrary order
title_short Behaviors of phase diagrams of Ising model with competing ternary and binary interactions on a Cayley tree of arbitrary order
title_full Behaviors of phase diagrams of Ising model with competing ternary and binary interactions on a Cayley tree of arbitrary order
title_fullStr Behaviors of phase diagrams of Ising model with competing ternary and binary interactions on a Cayley tree of arbitrary order
title_full_unstemmed Behaviors of phase diagrams of Ising model with competing ternary and binary interactions on a Cayley tree of arbitrary order
title_sort behaviors of phase diagrams of ising model with competing ternary and binary interactions on a cayley tree of arbitrary order
publisher Polish Academy of Sciences Publishing House
publishDate 2012
url http://irep.iium.edu.my/16010/
http://irep.iium.edu.my/16010/
http://irep.iium.edu.my/16010/1/Acta_Physica_Polonica_A_AGUT.pdf
first_indexed 2023-09-18T20:24:55Z
last_indexed 2023-09-18T20:24:55Z
_version_ 1777408352036323328

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