Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions
In this paper we investigate the problem of phase transition for Ising model on a semi-infinite Cayley tree of third order with inhomogeneous left, middle and right parameters describing the strength of the interactions between left, middle and right nearest-neighbors respectively. We produce a recu...
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| Format: | Article |
| Language: | English English English |
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American Institute of Physics Inc.
2018
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| Online Access: | http://irep.iium.edu.my/58331/ http://irep.iium.edu.my/58331/3/Presentation%20SKSM25_NG.pdf http://irep.iium.edu.my/58331/18/58331_Ising%20model%20on%20the%20semi-infinite%20Cayley%20tree.pdf http://irep.iium.edu.my/58331/19/58331_Ising%20model%20on%20the%20semi-infinite%20Cayley%20tree_SCOPUS.pdf |
| _version_ | 1848785093925011456 |
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| author | Ganikhodjaev, Nasir Ibrahim, Huda Husna |
| author_facet | Ganikhodjaev, Nasir Ibrahim, Huda Husna |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper we investigate the problem of phase transition for Ising model on a semi-infinite Cayley tree of third order with inhomogeneous left, middle and right parameters describing the strength of the interactions between left, middle and right nearest-neighbors respectively. We produce a recurrent equation that describes a limit behavior of the sequence conditional Gibbs measures and prove that if at least two of the parameters are positive one can reach phase transition. |
| first_indexed | 2025-11-14T16:47:40Z |
| format | Article |
| id | iium-58331 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:47:40Z |
| publishDate | 2018 |
| publisher | American Institute of Physics Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-583312019-01-19T17:28:52Z http://irep.iium.edu.my/58331/ Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions Ganikhodjaev, Nasir Ibrahim, Huda Husna QA Mathematics In this paper we investigate the problem of phase transition for Ising model on a semi-infinite Cayley tree of third order with inhomogeneous left, middle and right parameters describing the strength of the interactions between left, middle and right nearest-neighbors respectively. We produce a recurrent equation that describes a limit behavior of the sequence conditional Gibbs measures and prove that if at least two of the parameters are positive one can reach phase transition. American Institute of Physics Inc. 2018-06-28 Article PeerReviewed application/pdf en http://irep.iium.edu.my/58331/3/Presentation%20SKSM25_NG.pdf application/pdf en http://irep.iium.edu.my/58331/18/58331_Ising%20model%20on%20the%20semi-infinite%20Cayley%20tree.pdf application/pdf en http://irep.iium.edu.my/58331/19/58331_Ising%20model%20on%20the%20semi-infinite%20Cayley%20tree_SCOPUS.pdf Ganikhodjaev, Nasir and Ibrahim, Huda Husna (2018) Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions. 030013-1. ISSN 0094-243X https://aip.scitation.org/doi/pdf/10.1063/1.5041657?class=pdf |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Ibrahim, Huda Husna Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions |
| title | Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions |
| title_full | Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions |
| title_fullStr | Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions |
| title_full_unstemmed | Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions |
| title_short | Ising model on the semi-infinite Cayley tree of third order with inhomogeneous interactions |
| title_sort | ising model on the semi-infinite cayley tree of third order with inhomogeneous interactions |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/58331/ http://irep.iium.edu.my/58331/ http://irep.iium.edu.my/58331/3/Presentation%20SKSM25_NG.pdf http://irep.iium.edu.my/58331/18/58331_Ising%20model%20on%20the%20semi-infinite%20Cayley%20tree.pdf http://irep.iium.edu.my/58331/19/58331_Ising%20model%20on%20the%20semi-infinite%20Cayley%20tree_SCOPUS.pdf |