Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree
We study the phase diagram of the Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. In addition to the expected ferromagnetic and paramagnetic phases, we present a new paramodulated phase. Morover, the...
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| Format: | Article |
| Language: | English English |
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The Korean Physical Society
2015
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| Online Access: | http://irep.iium.edu.my/44043/ http://irep.iium.edu.my/44043/1/Ganikhodjaev_-_JKPS_with_Hirzie.pdf http://irep.iium.edu.my/44043/4/44043_Ising%20model%20on%20the%20cayley%20tree_SCOPUS.pdf |
| _version_ | 1848782543801810944 |
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| author | Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie |
| author_facet | Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | We study the phase diagram of the Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. In addition to the expected ferromagnetic and paramagnetic phases, we present a new paramodulated phase. Morover, the transition lines are analyzed and they are in agreement with the lines obtained numerically. Lastly, the stability of the anti-ferromagnetic phase was studied in detail by investigating the Lyapunov exponent associated with the corresponding dynamical system. |
| first_indexed | 2025-11-14T16:07:08Z |
| format | Article |
| id | iium-44043 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:07:08Z |
| publishDate | 2015 |
| publisher | The Korean Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-440432017-11-17T06:31:08Z http://irep.iium.edu.my/44043/ Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie QA Mathematics We study the phase diagram of the Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. In addition to the expected ferromagnetic and paramagnetic phases, we present a new paramodulated phase. Morover, the transition lines are analyzed and they are in agreement with the lines obtained numerically. Lastly, the stability of the anti-ferromagnetic phase was studied in detail by investigating the Lyapunov exponent associated with the corresponding dynamical system. The Korean Physical Society 2015-04-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/44043/1/Ganikhodjaev_-_JKPS_with_Hirzie.pdf application/pdf en http://irep.iium.edu.my/44043/4/44043_Ising%20model%20on%20the%20cayley%20tree_SCOPUS.pdf Ganikhodjaev, Nasir and Mohd Rodzhan, Mohd Hirzie (2015) Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree. Journal of the Korean Physical Society, 66 (8). pp. 1200-1206. ISSN 1976-8524 (O), 0374-4884 (P) http://www.springer.com/physics/journal/40042 10.3938/jkps.66.1200 |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree |
| title | Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree |
| title_full | Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree |
| title_fullStr | Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree |
| title_full_unstemmed | Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree |
| title_short | Ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree |
| title_sort | ising model on the cayley tree with competing interactions up to the third nearest-neighbors with spins belonging to different branches of the tree |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/44043/ http://irep.iium.edu.my/44043/ http://irep.iium.edu.my/44043/ http://irep.iium.edu.my/44043/1/Ganikhodjaev_-_JKPS_with_Hirzie.pdf http://irep.iium.edu.my/44043/4/44043_Ising%20model%20on%20the%20cayley%20tree_SCOPUS.pdf |