Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree

We study the phase diagram of the Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. In addition to the expected ferromagnetic and paramagnetic phases, we present a new paramodulated phase. Morover, the...

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Main Authors:	Ganikhodjaev, Nasir, Mohd Rodzhan, Mohd Hirzie
Format:	Article
Language:	English English
Published:	The Korean Physical Society 2015
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/44043/ http://irep.iium.edu.my/44043/ http://irep.iium.edu.my/44043/ http://irep.iium.edu.my/44043/1/Ganikhodjaev_-_JKPS_with_Hirzie.pdf http://irep.iium.edu.my/44043/4/44043_Ising%20model%20on%20the%20cayley%20tree_SCOPUS.pdf

id	iium-44043
recordtype	eprints
spelling	iium-440432017-11-17T06:31:08Z http://irep.iium.edu.my/44043/ Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie QA Mathematics We study the phase diagram of the Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. In addition to the expected ferromagnetic and paramagnetic phases, we present a new paramodulated phase. Morover, the transition lines are analyzed and they are in agreement with the lines obtained numerically. Lastly, the stability of the anti-ferromagnetic phase was studied in detail by investigating the Lyapunov exponent associated with the corresponding dynamical system. The Korean Physical Society 2015-04-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/44043/1/Ganikhodjaev_-_JKPS_with_Hirzie.pdf application/pdf en http://irep.iium.edu.my/44043/4/44043_Ising%20model%20on%20the%20cayley%20tree_SCOPUS.pdf Ganikhodjaev, Nasir and Mohd Rodzhan, Mohd Hirzie (2015) Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. Journal of the Korean Physical Society, 66 (8). pp. 1200-1206. ISSN 1976-8524 (O), 0374-4884 (P) http://www.springer.com/physics/journal/40042 10.3938/jkps.66.1200
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 Mohd Rodzhan, Mohd Hirzie Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree
description	We study the phase diagram of the Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. In addition to the expected ferromagnetic and paramagnetic phases, we present a new paramodulated phase. Morover, the transition lines are analyzed and they are in agreement with the lines obtained numerically. Lastly, the stability of the anti-ferromagnetic phase was studied in detail by investigating the Lyapunov exponent associated with the corresponding dynamical system.
format	Article
author	Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie
author_facet	Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie
author_sort	Ganikhodjaev, Nasir
title	Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree
title_short	Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree
title_full	Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree
title_fullStr	Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree
title_full_unstemmed	Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree
title_sort	ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree
publisher	The Korean Physical Society
publishDate	2015
url	http://irep.iium.edu.my/44043/ http://irep.iium.edu.my/44043/ http://irep.iium.edu.my/44043/ http://irep.iium.edu.my/44043/1/Ganikhodjaev_-_JKPS_with_Hirzie.pdf http://irep.iium.edu.my/44043/4/44043_Ising%20model%20on%20the%20cayley%20tree_SCOPUS.pdf
first_indexed	2023-09-18T21:02:39Z
last_indexed	2023-09-18T21:02:39Z
_version_	1777410726348980224

Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree

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