Multidimensional mapping for Potts model with competing interactions

We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing interactions: nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level binary neighbors interaction J0. To perform this study, an iterative scheme similar to that ap...

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Main Authors:	Ganikhodjaev, Nasir, Mohd Rodzhan, Mohd Hirzie
Format:	Conference or Workshop Item
Language:	English
Published:	2011
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/1717/ http://irep.iium.edu.my/1717/ http://irep.iium.edu.my/1717/1/Multi_dimensional.pdf

id	iium-1717
recordtype	eprints
spelling	iium-17172011-12-05T04:29:41Z http://irep.iium.edu.my/1717/ Multidimensional mapping for Potts model with competing interactions Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie QA Mathematics We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing interactions: nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level binary neighbors interaction J0. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established; it recovers as particular case, previous works by Ganikhodjaev et al for k = 2. The phase diagram is studied for several ranges of the competing parameters showing the appearance of several features and modulated phase arising from the frustration effects introduced by the one-level neighbor binary interaction J0. 2011-04 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/1717/1/Multi_dimensional.pdf Ganikhodjaev, Nasir and Mohd Rodzhan, Mohd Hirzie (2011) Multidimensional mapping for Potts model with competing interactions. In: Annual Conference on Operations Research and Statistics (ORS 2011), 7-8 April 2011, Penang, Malaysia. http://www.orstat.org/
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 Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie Multidimensional mapping for Potts model with competing interactions
description	We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing interactions: nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level binary neighbors interaction J0. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established; it recovers as particular case, previous works by Ganikhodjaev et al for k = 2. The phase diagram is studied for several ranges of the competing parameters showing the appearance of several features and modulated phase arising from the frustration effects introduced by the one-level neighbor binary interaction J0.
format	Conference or Workshop Item
author	Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie
author_facet	Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie
author_sort	Ganikhodjaev, Nasir
title	Multidimensional mapping for Potts model with competing interactions
title_short	Multidimensional mapping for Potts model with competing interactions
title_full	Multidimensional mapping for Potts model with competing interactions
title_fullStr	Multidimensional mapping for Potts model with competing interactions
title_full_unstemmed	Multidimensional mapping for Potts model with competing interactions
title_sort	multidimensional mapping for potts model with competing interactions
publishDate	2011
url	http://irep.iium.edu.my/1717/ http://irep.iium.edu.my/1717/ http://irep.iium.edu.my/1717/1/Multi_dimensional.pdf
first_indexed	2023-09-18T20:09:10Z
last_indexed	2023-09-18T20:09:10Z
_version_	1777407361680408576

Multidimensional mapping for Potts model with competing interactions

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