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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/1717/1/Multi_dimensional.pdf
http://irep.iium.edu.my/1717/
http://www.orstat.org/
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spelling my.iium.irep.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 REM 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/
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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/1717/1/Multi_dimensional.pdf
http://irep.iium.edu.my/1717/
http://www.orstat.org/
_version_ 1643604844008701952
score 13.211869

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