On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier

We study the phase diagrams for the Ising model that defined on Cayley tree-like lattice: pentagonal chandelier, with competing one-level pentagon interactions. Pentagonal chandelier can be viewed as another geometrical representation of Cayley tree order 5. The phase diagram was investigated for...

Full description

Bibliographic Details
Main Authors:	Ganikhodjaev, Nasir, Rodzhan, Mohd Hirzie
Format:	Conference or Workshop Item
Language:	English English
Published:	AIP Publishing 2014
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/39783/ http://irep.iium.edu.my/39783/ http://irep.iium.edu.my/39783/1/AIP_Proceedings_2014.pdf http://irep.iium.edu.my/39783/4/scopus.pdf

id	iium-39783
recordtype	eprints
spelling	iium-397832018-05-24T02:16:28Z http://irep.iium.edu.my/39783/ On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier Ganikhodjaev, Nasir Rodzhan, Mohd Hirzie QA Mathematics We study the phase diagrams for the Ising model that defined on Cayley tree-like lattice: pentagonal chandelier, with competing one-level pentagon interactions. Pentagonal chandelier can be viewed as another geometrical representation of Cayley tree order 5. The phase diagram was investigated for several ranges of the competing parameters and it showed the appearance of several features and modulated phase arising from the frustration effects introduced by the one-level pentagon interaction. The phase diagrams are obtained from stability conditions, and characteristic points in the iteration scheme are numerically analyzed. Lastly, the variation of wavevector with temperature in the modulated phase was studied in detail where narrow commensurate steps between incommensurate regions appeared when investigating the Lyapunov exponent associated with trajectory of the system. AIP Publishing 2014-12 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/39783/1/AIP_Proceedings_2014.pdf application/pdf en http://irep.iium.edu.my/39783/4/scopus.pdf Ganikhodjaev, Nasir and Rodzhan, Mohd Hirzie (2014) On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier. In: International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014), 12-14 August 2014, Langkawi, Kedah. http://icoqsia2014.uum.edu.my/
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics
spellingShingle	QA Mathematics Ganikhodjaev, Nasir Rodzhan, Mohd Hirzie On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier
description	We study the phase diagrams for the Ising model that defined on Cayley tree-like lattice: pentagonal chandelier, with competing one-level pentagon interactions. Pentagonal chandelier can be viewed as another geometrical representation of Cayley tree order 5. The phase diagram was investigated for several ranges of the competing parameters and it showed the appearance of several features and modulated phase arising from the frustration effects introduced by the one-level pentagon interaction. The phase diagrams are obtained from stability conditions, and characteristic points in the iteration scheme are numerically analyzed. Lastly, the variation of wavevector with temperature in the modulated phase was studied in detail where narrow commensurate steps between incommensurate regions appeared when investigating the Lyapunov exponent associated with trajectory of the system.
format	Conference or Workshop Item
author	Ganikhodjaev, Nasir Rodzhan, Mohd Hirzie
author_facet	Ganikhodjaev, Nasir Rodzhan, Mohd Hirzie
author_sort	Ganikhodjaev, Nasir
title	On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier
title_short	On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier
title_full	On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier
title_fullStr	On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier
title_full_unstemmed	On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier
title_sort	on ising model with one-level pentagon interactions on the cayley tree-like lattice:pentagonal chandelier
publisher	AIP Publishing
publishDate	2014
url	http://irep.iium.edu.my/39783/ http://irep.iium.edu.my/39783/ http://irep.iium.edu.my/39783/1/AIP_Proceedings_2014.pdf http://irep.iium.edu.my/39783/4/scopus.pdf
first_indexed	2023-09-18T20:57:07Z
last_indexed	2023-09-18T20:57:07Z
_version_	1777410378084384768

On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier

Similar Items