On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier
We study the phase diagrams for the Ising model that defined on Cayley tree-like lattice: pentagonal chandelier, with competing one-level pentagon interactions. Pentagonal chandelier can be viewed as another geometrical representation of Cayley tree order 5. The phase diagram was investigated for...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
AIP Publishing
2014
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/39783/ http://irep.iium.edu.my/39783/1/AIP_Proceedings_2014.pdf http://irep.iium.edu.my/39783/4/scopus.pdf |
| _version_ | 1848781843020644352 |
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| author | Ganikhodjaev, Nasir Rodzhan, Mohd Hirzie |
| author_facet | Ganikhodjaev, Nasir Rodzhan, Mohd Hirzie |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | We study the phase diagrams for the Ising model that defined on Cayley tree-like lattice: pentagonal
chandelier, with competing one-level pentagon interactions. Pentagonal chandelier can be viewed as another geometrical
representation of Cayley tree order 5. The phase diagram was investigated for several ranges of the competing parameters
and it showed the appearance of several features and modulated phase arising from the frustration effects introduced by
the one-level pentagon interaction. The phase diagrams are obtained from stability conditions, and characteristic points in
the iteration scheme are numerically analyzed. Lastly, the variation of wavevector with temperature in the modulated
phase was studied in detail where narrow commensurate steps between incommensurate regions appeared when
investigating the Lyapunov exponent associated with trajectory of the system. |
| first_indexed | 2025-11-14T15:56:00Z |
| format | Proceeding Paper |
| id | iium-39783 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T15:56:00Z |
| publishDate | 2014 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-397832018-05-24T02:16:28Z http://irep.iium.edu.my/39783/ On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier Ganikhodjaev, Nasir Rodzhan, Mohd Hirzie QA Mathematics We study the phase diagrams for the Ising model that defined on Cayley tree-like lattice: pentagonal chandelier, with competing one-level pentagon interactions. Pentagonal chandelier can be viewed as another geometrical representation of Cayley tree order 5. The phase diagram was investigated for several ranges of the competing parameters and it showed the appearance of several features and modulated phase arising from the frustration effects introduced by the one-level pentagon interaction. The phase diagrams are obtained from stability conditions, and characteristic points in the iteration scheme are numerically analyzed. Lastly, the variation of wavevector with temperature in the modulated phase was studied in detail where narrow commensurate steps between incommensurate regions appeared when investigating the Lyapunov exponent associated with trajectory of the system. AIP Publishing 2014-12 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/39783/1/AIP_Proceedings_2014.pdf application/pdf en http://irep.iium.edu.my/39783/4/scopus.pdf Ganikhodjaev, Nasir and Rodzhan, Mohd Hirzie (2014) On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier. In: International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014), 12-14 August 2014, Langkawi, Kedah. http://icoqsia2014.uum.edu.my/ |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Rodzhan, Mohd Hirzie On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier |
| title | On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier |
| title_full | On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier |
| title_fullStr | On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier |
| title_full_unstemmed | On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier |
| title_short | On Ising model with one-level pentagon interactions on the Cayley tree-like lattice:Pentagonal chandelier |
| title_sort | on ising model with one-level pentagon interactions on the cayley tree-like lattice:pentagonal chandelier |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/39783/ http://irep.iium.edu.my/39783/ http://irep.iium.edu.my/39783/1/AIP_Proceedings_2014.pdf http://irep.iium.edu.my/39783/4/scopus.pdf |