On some dynamic systems arising in lattice models with competing ternary interactions
The lattice models on a Cayley tree with competing interactions has recently been studied extensively because of the appearance of nontrivial magnetic orderings [1]. In the case of the Ising model on the Cayley tree of second order with competing binary nearestneighbour interactions J and binary pro...
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| Format: | Proceeding Paper |
| Language: | English |
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2009
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| Online Access: | http://irep.iium.edu.my/13876/ http://irep.iium.edu.my/13876/1/abstract_NUUZ%5B1%5D%5B1%5D.pdf |
| _version_ | 1848777621890924544 |
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| author | Ganikhodjaev, Nasir |
| author_facet | Ganikhodjaev, Nasir |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | The lattice models on a Cayley tree with competing interactions has recently been studied extensively because of the appearance of nontrivial magnetic orderings [1]. In the case of the Ising model on the Cayley tree of second order with competing binary nearestneighbour interactions J and binary prolonged second neighbour interactions Jp Vannimenus [1] was able to find new modulated phases, in addition to the expected paramagnetic and ferromagnetic phases. Later similar result was proved for Potts model with three spins [2]. Let Let |
| first_indexed | 2025-11-14T14:48:54Z |
| format | Proceeding Paper |
| id | iium-13876 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:48:54Z |
| publishDate | 2009 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-138762012-02-01T12:44:58Z http://irep.iium.edu.my/13876/ On some dynamic systems arising in lattice models with competing ternary interactions Ganikhodjaev, Nasir QA Mathematics The lattice models on a Cayley tree with competing interactions has recently been studied extensively because of the appearance of nontrivial magnetic orderings [1]. In the case of the Ising model on the Cayley tree of second order with competing binary nearestneighbour interactions J and binary prolonged second neighbour interactions Jp Vannimenus [1] was able to find new modulated phases, in addition to the expected paramagnetic and ferromagnetic phases. Later similar result was proved for Potts model with three spins [2]. Let Let 2009-09-18 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/13876/1/abstract_NUUZ%5B1%5D%5B1%5D.pdf Ganikhodjaev, Nasir (2009) On some dynamic systems arising in lattice models with competing ternary interactions. In: Proceedings of Modern Problems of Applied Mathematics and Information Technologies-Al Khowrezmi 2009, 18-21 September 2009, Tashkent, Uzbekistan. (Unpublished) |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir On some dynamic systems arising in lattice models with competing ternary interactions |
| title | On some dynamic systems arising in lattice models with competing ternary interactions |
| title_full | On some dynamic systems arising in lattice models with competing ternary interactions |
| title_fullStr | On some dynamic systems arising in lattice models with competing ternary interactions |
| title_full_unstemmed | On some dynamic systems arising in lattice models with competing ternary interactions |
| title_short | On some dynamic systems arising in lattice models with competing ternary interactions |
| title_sort | on some dynamic systems arising in lattice models with competing ternary interactions |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/13876/ http://irep.iium.edu.my/13876/1/abstract_NUUZ%5B1%5D%5B1%5D.pdf |