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Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions

One of the main problems of statistical physics is to describe all Gibbs measures corresponding to a given Hamiltonian. It is well known that such measures form a nonempty convex compact subset in the set of all probability measures. The purpose of this article is to investigate phase diagram and ex...

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Main Authors: Ganikhodjaev, Nasir, Akin, Hasan, Temir, Seyit, Uguz, Selman
Format: Article
Language:English
Published: Taylor & Francis Ltd. 2011
Subjects:
QA Mathematics
QC Physics
Online Access:http://irep.iium.edu.my/7135/1/Phase_Transitions_journal.pdf
http://irep.iium.edu.my/7135/
http://www.tandfonline.com/doi/abs/10.1080/01411594.2011.579395
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spelling my.iium.irep.71352011-11-22T06:55:09Z http://irep.iium.edu.my/7135/ Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions Ganikhodjaev, Nasir Akin, Hasan Temir, Seyit Uguz, Selman QA Mathematics QC Physics One of the main problems of statistical physics is to describe all Gibbs measures corresponding to a given Hamiltonian. It is well known that such measures form a nonempty convex compact subset in the set of all probability measures. The purpose of this article is to investigate phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions. Taylor & Francis Ltd. 2011-11-14 Article REM application/pdf en http://irep.iium.edu.my/7135/1/Phase_Transitions_journal.pdf Ganikhodjaev, Nasir and Akin, Hasan and Temir, Seyit and Uguz, Selman (2011) Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions. Phase Transitions, 84 (11-12). pp. 1045-1063. ISSN 0141-1594 (P), 1029-0338 (O) http://www.tandfonline.com/doi/abs/10.1080/01411594.2011.579395 10.1080/01411594.2011.579395
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
QC Physics
spellingShingle QA Mathematics
QC Physics
Ganikhodjaev, Nasir
Akin, Hasan
Temir, Seyit
Uguz, Selman
Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions
description One of the main problems of statistical physics is to describe all Gibbs measures corresponding to a given Hamiltonian. It is well known that such measures form a nonempty convex compact subset in the set of all probability measures. The purpose of this article is to investigate phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions.
format Article
author Ganikhodjaev, Nasir
Akin, Hasan
Temir, Seyit
Uguz, Selman
author_facet Ganikhodjaev, Nasir
Akin, Hasan
Temir, Seyit
Uguz, Selman
author_sort Ganikhodjaev, Nasir
title Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions
title_short Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions
title_full Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions
title_fullStr Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions
title_full_unstemmed Phase diagram and extreme Gibbs measures of the Ising model on a Cayley tree in the presence of competing binary and ternary interactions
title_sort phase diagram and extreme gibbs measures of the ising model on a cayley tree in the presence of competing binary and ternary interactions
publisher Taylor & Francis Ltd.
publishDate 2011
url http://irep.iium.edu.my/7135/1/Phase_Transitions_journal.pdf
http://irep.iium.edu.my/7135/
http://www.tandfonline.com/doi/abs/10.1080/01411594.2011.579395
_version_ 1643605881663782912
score 13.18916

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