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Exact solution for an Ising model on the Cayley tree of order

We investigate an Ising model with two restricted competing interactions (nearest neighbors, and one-level neighbors) on the Cayley tree of order 5. The translation Gibbs measures is considered for this model. Our result of the critical curve shows that the phase transition occurs in this model, f...

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Main Authors: Jamil, Hakim, Pah, Chin Hee
Format: Conference or Workshop Item
Language:English
English
English
Published: AIP Publishing 2016
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/51153/1/1.4954524.pdf
http://irep.iium.edu.my/51153/4/51153_exact_solution_preface.pdf
http://irep.iium.edu.my/51153/7/51153_Exact%20solution%20for%20an%20Ising%20model_scopus.pdf
http://irep.iium.edu.my/51153/
http://scitation.aip.org/content/aip/proceeding/aipcp/1750?ver=pdfcov
http://dx.doi.org/10.1063/1.4954524
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spelling my.iium.irep.511532017-03-13T14:12:36Z http://irep.iium.edu.my/51153/ Exact solution for an Ising model on the Cayley tree of order Jamil, Hakim Pah, Chin Hee QA Mathematics We investigate an Ising model with two restricted competing interactions (nearest neighbors, and one-level neighbors) on the Cayley tree of order 5. The translation Gibbs measures is considered for this model. Our result of the critical curve shows that the phase transition occurs in this model, further it confirms a particular case of a conjecture AIP Publishing 2016-06-21 Conference or Workshop Item REM application/pdf en http://irep.iium.edu.my/51153/1/1.4954524.pdf application/pdf en http://irep.iium.edu.my/51153/4/51153_exact_solution_preface.pdf application/pdf en http://irep.iium.edu.my/51153/7/51153_Exact%20solution%20for%20an%20Ising%20model_scopus.pdf Jamil, Hakim and Pah, Chin Hee (2016) Exact solution for an Ising model on the Cayley tree of order. In: 2015 National Symposium of Mathematical Sciences, 24–26 November 2015, Johor Bahru, Malaysia. http://scitation.aip.org/content/aip/proceeding/aipcp/1750?ver=pdfcov http://dx.doi.org/10.1063/1.4954524
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
English
English
topic QA Mathematics
spellingShingle QA Mathematics
Jamil, Hakim
Pah, Chin Hee
Exact solution for an Ising model on the Cayley tree of order
description We investigate an Ising model with two restricted competing interactions (nearest neighbors, and one-level neighbors) on the Cayley tree of order 5. The translation Gibbs measures is considered for this model. Our result of the critical curve shows that the phase transition occurs in this model, further it confirms a particular case of a conjecture
format Conference or Workshop Item
author Jamil, Hakim
Pah, Chin Hee
author_facet Jamil, Hakim
Pah, Chin Hee
author_sort Jamil, Hakim
title Exact solution for an Ising model on the Cayley tree of order
title_short Exact solution for an Ising model on the Cayley tree of order
title_full Exact solution for an Ising model on the Cayley tree of order
title_fullStr Exact solution for an Ising model on the Cayley tree of order
title_full_unstemmed Exact solution for an Ising model on the Cayley tree of order
title_sort exact solution for an ising model on the cayley tree of order
publisher AIP Publishing
publishDate 2016
url http://irep.iium.edu.my/51153/1/1.4954524.pdf
http://irep.iium.edu.my/51153/4/51153_exact_solution_preface.pdf
http://irep.iium.edu.my/51153/7/51153_Exact%20solution%20for%20an%20Ising%20model_scopus.pdf
http://irep.iium.edu.my/51153/
http://scitation.aip.org/content/aip/proceeding/aipcp/1750?ver=pdfcov
http://dx.doi.org/10.1063/1.4954524
_version_ 1643613892299980800
score 13.18916

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