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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Ltd.
2011
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| Online Access: | http://irep.iium.edu.my/7135/ http://irep.iium.edu.my/7135/1/Phase_Transitions_journal.pdf |
| _version_ | 1848776794798292992 |
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| author | Ganikhodjaev, Nasir Akin, Hasan Temir, Seyit Uguz, Selman |
| author_facet | Ganikhodjaev, Nasir Akin, Hasan Temir, Seyit Uguz, Selman |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:35:45Z |
| format | Article |
| id | iium-7135 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:35:45Z |
| publishDate | 2011 |
| publisher | Taylor & Francis Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-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 PeerReviewed 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 |
| 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 |
| 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_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_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_sort | phase diagram and extreme gibbs measures of the ising model on a cayley tree in the presence of competing binary and ternary interactions |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/7135/ http://irep.iium.edu.my/7135/ http://irep.iium.edu.my/7135/ http://irep.iium.edu.my/7135/1/Phase_Transitions_journal.pdf |