Two Potts Models on Cayley Tree of Arbitrary Order

Two Potts Models on Cayley Tree of Arbitrary Order

On a Cayley tree of arbitrary order k we consider two different Potts models with competing nearest-neighbour interactions J1 and next-nearest-neighbour interactions Jp and Jo, where coupling Jp corresponds to interaction of spins belonging to the same branch of the tree (prolonged) and coupling Jo...

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Main Authors: Ganikhodjaev, Nasir, Nawi, Ashraf Mohamed, Rodzhan, Mohd Hirzie
Format: Conference or Workshop Item
Language:English
English
Published: Institute of Physics Publishing 2012
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/26805/
http://irep.iium.edu.my/26805/1/IIUM_iCAST_2012_Abstracts.pdf
http://irep.iium.edu.my/26805/4/iCAST2012_Ashraf_Hirzie.pdf
id iium-26805
recordtype eprints
spelling iium-268052013-08-14T09:06:41Z http://irep.iium.edu.my/26805/ Two Potts Models on Cayley Tree of Arbitrary Order Ganikhodjaev, Nasir Nawi, Ashraf Mohamed Rodzhan, Mohd Hirzie QA Mathematics On a Cayley tree of arbitrary order k we consider two different Potts models with competing nearest-neighbour interactions J1 and next-nearest-neighbour interactions Jp and Jo, where coupling Jp corresponds to interaction of spins belonging to the same branch of the tree (prolonged) and coupling Jo corresponds to interaction of spins belonging to the same shell of the tree (one-level) and find for each model in addition to the expected paramagnetic, ferromagnetic and antiferromagnetic phases, an intermediate range of coupling values where the local magnetization has chaotic oscillatory glass-like behaviour. We also show that the ranges corresponding two models are different Institute of Physics Publishing 2012-11-07 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/26805/1/IIUM_iCAST_2012_Abstracts.pdf application/pdf en http://irep.iium.edu.my/26805/4/iCAST2012_Ashraf_Hirzie.pdf Ganikhodjaev, Nasir and Nawi, Ashraf Mohamed and Rodzhan, Mohd Hirzie (2012) Two Potts Models on Cayley Tree of Arbitrary Order. In: International Conference of Application Science & Technology (iCAST2012), 7-10 November 2012, Kuantan, Pahang.
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
Nawi, Ashraf Mohamed
Rodzhan, Mohd Hirzie
Two Potts Models on Cayley Tree of Arbitrary Order
description On a Cayley tree of arbitrary order k we consider two different Potts models with competing nearest-neighbour interactions J1 and next-nearest-neighbour interactions Jp and Jo, where coupling Jp corresponds to interaction of spins belonging to the same branch of the tree (prolonged) and coupling Jo corresponds to interaction of spins belonging to the same shell of the tree (one-level) and find for each model in addition to the expected paramagnetic, ferromagnetic and antiferromagnetic phases, an intermediate range of coupling values where the local magnetization has chaotic oscillatory glass-like behaviour. We also show that the ranges corresponding two models are different
format Conference or Workshop Item
author Ganikhodjaev, Nasir
Nawi, Ashraf Mohamed
Rodzhan, Mohd Hirzie
author_facet Ganikhodjaev, Nasir
Nawi, Ashraf Mohamed
Rodzhan, Mohd Hirzie
author_sort Ganikhodjaev, Nasir
title Two Potts Models on Cayley Tree of Arbitrary Order
title_short Two Potts Models on Cayley Tree of Arbitrary Order
title_full Two Potts Models on Cayley Tree of Arbitrary Order
title_fullStr Two Potts Models on Cayley Tree of Arbitrary Order
title_full_unstemmed Two Potts Models on Cayley Tree of Arbitrary Order
title_sort two potts models on cayley tree of arbitrary order
publisher Institute of Physics Publishing
publishDate 2012
url http://irep.iium.edu.my/26805/
http://irep.iium.edu.my/26805/1/IIUM_iCAST_2012_Abstracts.pdf
http://irep.iium.edu.my/26805/4/iCAST2012_Ashraf_Hirzie.pdf
first_indexed 2023-09-18T20:39:52Z
last_indexed 2023-09-18T20:39:52Z
_version_ 1777409293185712128

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