Potts model with competing interactions on a Cayley tree of k-th order
We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level k-tuple neighbors interaction J0. To perform this study, an iterative scheme similar to that appearing in re...
| Main Authors: | , |
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| Format: | Book Chapter |
| Language: | English |
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Operations Research and Statistics 2011 & GST
2011
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/14402/ http://irep.iium.edu.my/14402/1/ORS_2011_NG_AMN.pdf |
| _version_ | 1848777690889322496 |
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| author | Ganikhodjaev, Nasir Mohamed Nawi, Ashraf |
| author_facet | Ganikhodjaev, Nasir Mohamed Nawi, Ashraf |
| 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 nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level k-tuple 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 k-tuple neighbor interaction J0. |
| first_indexed | 2025-11-14T14:50:00Z |
| format | Book Chapter |
| id | iium-14402 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:50:00Z |
| publishDate | 2011 |
| publisher | Operations Research and Statistics 2011 & GST |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-144022012-02-03T01:27:16Z http://irep.iium.edu.my/14402/ Potts model with competing interactions on a Cayley tree of k-th order Ganikhodjaev, Nasir Mohamed Nawi, Ashraf QA Mathematics We study the phase diagram for Potts model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J1, prolonged next-nearest-neighbor interactions Jp and one level k-tuple 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 k-tuple neighbor interaction J0. Operations Research and Statistics 2011 & GST 2011-04-07 Book Chapter PeerReviewed application/pdf en http://irep.iium.edu.my/14402/1/ORS_2011_NG_AMN.pdf Ganikhodjaev, Nasir and Mohamed Nawi, Ashraf (2011) Potts model with competing interactions on a Cayley tree of k-th order. In: Proceedings of the Annual International Conference on Operations Research and Statistics (ORS 2011). Operations Research and Statistics 2011 & GST, Singapore, pp. 122-127. ISBN 9789810884079 (pbk.) |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Mohamed Nawi, Ashraf Potts model with competing interactions on a Cayley tree of k-th order |
| title | Potts model with competing interactions on a Cayley tree of k-th order |
| title_full | Potts model with competing interactions on a Cayley tree of k-th order |
| title_fullStr | Potts model with competing interactions on a Cayley tree of k-th order |
| title_full_unstemmed | Potts model with competing interactions on a Cayley tree of k-th order |
| title_short | Potts model with competing interactions on a Cayley tree of k-th order |
| title_sort | potts model with competing interactions on a cayley tree of k-th order |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/14402/ http://irep.iium.edu.my/14402/1/ORS_2011_NG_AMN.pdf |