Ising model with competing interactions on Cayley tree of order 4: an analytic solution

For the Ising model with competing interactions on the fourth-order Cayley tree, we find the critical curve separate the region of phase transition and no phase transition. We investigate a phase transition phenomena from the associated dynamical system point of view. An alternative approach but bas...

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Main Authors: Ali, Rukiah, Pah, Chin Hee
Format: Conference or Workshop Item
Language:English
Published: 2011
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Online Access:http://irep.iium.edu.my/13596/1/MO32-RUKIAH.pdf
http://irep.iium.edu.my/13596/
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spelling my.iium.irep.135962013-03-20T03:00:49Z http://irep.iium.edu.my/13596/ Ising model with competing interactions on Cayley tree of order 4: an analytic solution Ali, Rukiah Pah, Chin Hee QA Mathematics For the Ising model with competing interactions on the fourth-order Cayley tree, we find the critical curve separate the region of phase transition and no phase transition. We investigate a phase transition phenomena from the associated dynamical system point of view. An alternative approach but basic technique is given to study the stable fixed points of these dynamical systems. 2011 Conference or Workshop Item REM application/pdf en http://irep.iium.edu.my/13596/1/MO32-RUKIAH.pdf Ali, Rukiah and Pah, Chin Hee (2011) Ising model with competing interactions on Cayley tree of order 4: an analytic solution. In: 10th International Annual Symposium (UMTAS 2011), 11-13 July 2011, Kuala Terengganu, Terengganu, Malaysia.
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
Ali, Rukiah
Pah, Chin Hee
Ising model with competing interactions on Cayley tree of order 4: an analytic solution
description For the Ising model with competing interactions on the fourth-order Cayley tree, we find the critical curve separate the region of phase transition and no phase transition. We investigate a phase transition phenomena from the associated dynamical system point of view. An alternative approach but basic technique is given to study the stable fixed points of these dynamical systems.
format Conference or Workshop Item
author Ali, Rukiah
Pah, Chin Hee
author_facet Ali, Rukiah
Pah, Chin Hee
author_sort Ali, Rukiah
title Ising model with competing interactions on Cayley tree of order 4: an analytic solution
title_short Ising model with competing interactions on Cayley tree of order 4: an analytic solution
title_full Ising model with competing interactions on Cayley tree of order 4: an analytic solution
title_fullStr Ising model with competing interactions on Cayley tree of order 4: an analytic solution
title_full_unstemmed Ising model with competing interactions on Cayley tree of order 4: an analytic solution
title_sort ising model with competing interactions on cayley tree of order 4: an analytic solution
publishDate 2011
url http://irep.iium.edu.my/13596/1/MO32-RUKIAH.pdf
http://irep.iium.edu.my/13596/
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