Exact solution of an Ising model with competing interactions on a Cayley tree

The exact solution of an Ising model with competing restricted interactions on the Cayley tree, and in the absence of an external field is presented. A critical curve is defined where it is possible to get phase transitions above it, and a single Gibbs state is obtained elsewhere.

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Main Authors: Ganikhodjaev, Nasir, Pah, Chin Hee, Wahiddin, Mohamed Ridza
Format: Article
Language:English
Published: IOP Publishing 2003
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Online Access:http://irep.iium.edu.my/1552/1/gani-pah-JoP-03.pdf
http://irep.iium.edu.my/1552/
http://iopscience.iop.org/1751-8121
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spelling my.iium.irep.15522020-06-10T08:45:32Z http://irep.iium.edu.my/1552/ Exact solution of an Ising model with competing interactions on a Cayley tree Ganikhodjaev, Nasir Pah, Chin Hee Wahiddin, Mohamed Ridza QA Mathematics The exact solution of an Ising model with competing restricted interactions on the Cayley tree, and in the absence of an external field is presented. A critical curve is defined where it is possible to get phase transitions above it, and a single Gibbs state is obtained elsewhere. IOP Publishing 2003 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1552/1/gani-pah-JoP-03.pdf Ganikhodjaev, Nasir and Pah, Chin Hee and Wahiddin, Mohamed Ridza (2003) Exact solution of an Ising model with competing interactions on a Cayley tree. Journal of Physics A: Mathematical and General, 36 (15). pp. 4283-4289. ISSN 1751-8113 http://iopscience.iop.org/1751-8121 10.1088/0305-4470/36/15/305
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
Pah, Chin Hee
Wahiddin, Mohamed Ridza
Exact solution of an Ising model with competing interactions on a Cayley tree
description The exact solution of an Ising model with competing restricted interactions on the Cayley tree, and in the absence of an external field is presented. A critical curve is defined where it is possible to get phase transitions above it, and a single Gibbs state is obtained elsewhere.
format Article
author Ganikhodjaev, Nasir
Pah, Chin Hee
Wahiddin, Mohamed Ridza
author_facet Ganikhodjaev, Nasir
Pah, Chin Hee
Wahiddin, Mohamed Ridza
author_sort Ganikhodjaev, Nasir
title Exact solution of an Ising model with competing interactions on a Cayley tree
title_short Exact solution of an Ising model with competing interactions on a Cayley tree
title_full Exact solution of an Ising model with competing interactions on a Cayley tree
title_fullStr Exact solution of an Ising model with competing interactions on a Cayley tree
title_full_unstemmed Exact solution of an Ising model with competing interactions on a Cayley tree
title_sort exact solution of an ising model with competing interactions on a cayley tree
publisher IOP Publishing
publishDate 2003
url http://irep.iium.edu.my/1552/1/gani-pah-JoP-03.pdf
http://irep.iium.edu.my/1552/
http://iopscience.iop.org/1751-8121
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score 13.18916