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...
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my.iium.irep.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 Conference or Workshop Item REM 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. |
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Universiti Islam Antarabangsa Malaysia |
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Asia |
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Malaysia |
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International Islamic University Malaysia |
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| language |
English |
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QA Mathematics |
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QA Mathematics Ali, Rukiah Pah, Chin Hee Ising model with competing interactions on Cayley tree of order 4: an analytic solution |
| 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. |
| format |
Conference or Workshop Item |
| author |
Ali, Rukiah Pah, Chin Hee |
| author_facet |
Ali, Rukiah Pah, Chin Hee |
| author_sort |
Ali, Rukiah |
| title |
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_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_sort |
ising model with competing interactions on cayley tree of order 4: an analytic solution |
| publishDate |
2011 |
| url |
http://irep.iium.edu.my/13596/1/MO32-RUKIAH.pdf http://irep.iium.edu.my/13596/ |
| _version_ |
1643606776972574720 |