Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree
We study the phase diagrams for the Potts model with restricted competing nearest-neighbor interactions J1 and ternary interactions Jpt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of Jpt/J1 and T/J1. The phase diag...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/29180/ http://irep.iium.edu.my/29180/1/poster.pdf |
| _version_ | 1848780075577638912 |
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| author | Ganikhodjaev, Nasir Nawi, Ashraf Mohamed Rodzhan, Mohd Hirzie |
| author_facet | Ganikhodjaev, Nasir Nawi, Ashraf Mohamed Rodzhan, Mohd Hirzie |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | We study the phase diagrams for the Potts model with restricted competing nearest-neighbor interactions J1 and
ternary interactions Jpt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully
determined for all values and signs of Jpt/J1 and T/J1. The phase diagrams are obtained from stability conditions,
and characteristic points in the iteration scheme are numerically analyzed. The wavevectors versus temperature are
plotted for some critical points in the modulated phases. Then, we using the Lyapunov exponent to verify the
stability of the periods.
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| first_indexed | 2025-11-14T15:27:54Z |
| format | Proceeding Paper |
| id | iium-29180 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:27:54Z |
| publishDate | 2013 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-291802013-10-09T07:59:39Z http://irep.iium.edu.my/29180/ Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree Ganikhodjaev, Nasir Nawi, Ashraf Mohamed Rodzhan, Mohd Hirzie QA Mathematics We study the phase diagrams for the Potts model with restricted competing nearest-neighbor interactions J1 and ternary interactions Jpt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of Jpt/J1 and T/J1. The phase diagrams are obtained from stability conditions, and characteristic points in the iteration scheme are numerically analyzed. The wavevectors versus temperature are plotted for some critical points in the modulated phases. Then, we using the Lyapunov exponent to verify the stability of the periods. 2013-02-19 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/29180/1/poster.pdf Ganikhodjaev, Nasir and Nawi, Ashraf Mohamed and Rodzhan, Mohd Hirzie (2013) Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree. In: IIUM Research, Invention and Innovation Exhibition 2013, 19 - 20 February 2013, Cultural Activity Centre (CAC) and KAED Gallery, IIUM. http://www.iium.edu.my/irie/13/index.php/component/content/?view=featured |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Nawi, Ashraf Mohamed Rodzhan, Mohd Hirzie Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree |
| title | Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree |
| title_full | Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree |
| title_fullStr | Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree |
| title_full_unstemmed | Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree |
| title_short | Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree |
| title_sort | potts model with next-nearest-neighbor ternary interactions on an arbitrary-order cayley tree |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/29180/ http://irep.iium.edu.my/29180/ http://irep.iium.edu.my/29180/1/poster.pdf |