Ising model with competing interactions on Cayley tree of order 4: an analytic solution
For the Ising model with competing interactions on the fourth-order Cayley tree, we find the critical curve separate the region of phase transition and no phase transition. We investigate a phase transition phenomena from the associated dynamical system point of view. An alternative approach but bas...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2011
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/13596/ http://irep.iium.edu.my/13596/1/MO32-RUKIAH.pdf |
| _version_ | 1848777582645870592 |
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| author | Ali, Rukiah Pah, Chin Hee |
| author_facet | Ali, Rukiah Pah, Chin Hee |
| author_sort | Ali, Rukiah |
| building | IIUM Repository |
| collection | Online Access |
| description | For the Ising model with competing interactions on the fourth-order Cayley tree, we find the critical curve separate the region of phase transition and no phase transition. We investigate a phase transition phenomena from the associated dynamical system point of view. An alternative approach but basic technique is given to study the stable fixed points of these dynamical systems. |
| first_indexed | 2025-11-14T14:48:17Z |
| format | Proceeding Paper |
| id | iium-13596 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:48:17Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-135962013-03-20T03:00:49Z http://irep.iium.edu.my/13596/ Ising model with competing interactions on Cayley tree of order 4: an analytic solution Ali, Rukiah Pah, Chin Hee QA Mathematics For the Ising model with competing interactions on the fourth-order Cayley tree, we find the critical curve separate the region of phase transition and no phase transition. We investigate a phase transition phenomena from the associated dynamical system point of view. An alternative approach but basic technique is given to study the stable fixed points of these dynamical systems. 2011 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/13596/1/MO32-RUKIAH.pdf Ali, Rukiah and Pah, Chin Hee (2011) Ising model with competing interactions on Cayley tree of order 4: an analytic solution. In: 10th International Annual Symposium (UMTAS 2011), 11-13 July 2011, Kuala Terengganu, Terengganu, Malaysia. |
| spellingShingle | QA Mathematics Ali, Rukiah Pah, Chin Hee Ising model with competing interactions on Cayley tree of order 4: an analytic solution |
| title | Ising model with competing interactions on Cayley tree of order 4: an analytic solution |
| title_full | Ising model with competing interactions on Cayley tree of order 4: an analytic solution |
| title_fullStr | Ising model with competing interactions on Cayley tree of order 4: an analytic solution |
| title_full_unstemmed | Ising model with competing interactions on Cayley tree of order 4: an analytic solution |
| title_short | Ising model with competing interactions on Cayley tree of order 4: an analytic solution |
| title_sort | ising model with competing interactions on cayley tree of order 4: an analytic solution |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/13596/ http://irep.iium.edu.my/13596/1/MO32-RUKIAH.pdf |