Multidimensional mapping for Potts model with competing interactions
We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing interactions: nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level binary neighbors interaction J0. To perform this study, an iterative scheme similar to that ap...
| 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/1717/ http://irep.iium.edu.my/1717/1/Multi_dimensional.pdf |
| _version_ | 1848775903412224000 |
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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 for Potts model on a Cayley tree of arbitrary order k with competing interactions: nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level binary neighbors interaction J0. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established; it recovers as particular case, previous works by Ganikhodjaev et al for k = 2. The phase diagram is studied for several ranges of the competing parameters showing the appearance of several features and modulated phase arising from the frustration effects introduced by the one-level neighbor binary interaction J0. |
| first_indexed | 2025-11-14T14:21:35Z |
| format | Proceeding Paper |
| id | iium-1717 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:35Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-17172011-12-05T04:29:41Z http://irep.iium.edu.my/1717/ Multidimensional mapping for Potts model with competing interactions Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie QA Mathematics We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing interactions: nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level binary neighbors interaction J0. To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established; it recovers as particular case, previous works by Ganikhodjaev et al for k = 2. The phase diagram is studied for several ranges of the competing parameters showing the appearance of several features and modulated phase arising from the frustration effects introduced by the one-level neighbor binary interaction J0. 2011-04 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/1717/1/Multi_dimensional.pdf Ganikhodjaev, Nasir and Mohd Rodzhan, Mohd Hirzie (2011) Multidimensional mapping for Potts model with competing interactions. In: Annual Conference on Operations Research and Statistics (ORS 2011), 7-8 April 2011, Penang, Malaysia. http://www.orstat.org/ |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie Multidimensional mapping for Potts model with competing interactions |
| title | Multidimensional mapping for Potts model with competing interactions |
| title_full | Multidimensional mapping for Potts model with competing interactions |
| title_fullStr | Multidimensional mapping for Potts model with competing interactions |
| title_full_unstemmed | Multidimensional mapping for Potts model with competing interactions |
| title_short | Multidimensional mapping for Potts model with competing interactions |
| title_sort | multidimensional mapping for potts model with competing interactions |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1717/ http://irep.iium.edu.my/1717/ http://irep.iium.edu.my/1717/1/Multi_dimensional.pdf |