Potts model with competing interactions on a Cayley tree of k-th order

Potts model with competing interactions on a Cayley tree of k-th order

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

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Main Authors: Ganikhodjaev, Nasir, Mohamed Nawi, Ashraf
Format: Book Chapter
Language:English
Published: Operations Research and Statistics 2011 & GST 2011
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/14402/
http://irep.iium.edu.my/14402/1/ORS_2011_NG_AMN.pdf
id iium-14402
recordtype eprints
spelling iium-144022012-02-03T01:27:16Z http://irep.iium.edu.my/14402/ Potts model with competing interactions on a Cayley tree of k-th order Ganikhodjaev, Nasir Mohamed Nawi, Ashraf QA Mathematics We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level k-tuple 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 k-tuple neighbor interaction J0. Operations Research and Statistics 2011 & GST 2011-04-07 Book Chapter PeerReviewed application/pdf en http://irep.iium.edu.my/14402/1/ORS_2011_NG_AMN.pdf Ganikhodjaev, Nasir and Mohamed Nawi, Ashraf (2011) Potts model with competing interactions on a Cayley tree of k-th order. In: Proceedings of the Annual International Conference on Operations Research and Statistics (ORS 2011). Operations Research and Statistics 2011 & GST, Singapore, pp. 122-127. ISBN 9789810884079 (pbk.)
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
Mohamed Nawi, Ashraf
Potts model with competing interactions on a Cayley tree of k-th order
description We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level k-tuple 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 k-tuple neighbor interaction J0.
format Book Chapter
author Ganikhodjaev, Nasir
Mohamed Nawi, Ashraf
author_facet Ganikhodjaev, Nasir
Mohamed Nawi, Ashraf
author_sort Ganikhodjaev, Nasir
title Potts model with competing interactions on a Cayley tree of k-th order
title_short Potts model with competing interactions on a Cayley tree of k-th order
title_full Potts model with competing interactions on a Cayley tree of k-th order
title_fullStr Potts model with competing interactions on a Cayley tree of k-th order
title_full_unstemmed Potts model with competing interactions on a Cayley tree of k-th order
title_sort potts model with competing interactions on a cayley tree of k-th order
publisher Operations Research and Statistics 2011 & GST
publishDate 2011
url http://irep.iium.edu.my/14402/
http://irep.iium.edu.my/14402/1/ORS_2011_NG_AMN.pdf
first_indexed 2023-09-18T20:23:35Z
last_indexed 2023-09-18T20:23:35Z
_version_ 1777408268630491136

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