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 J 1 and ternary interactions J pt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of J pt /J 1 and T/J 1. The phase...
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| Language: | English |
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The Korean Physical Society
2012
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| Online Access: | http://irep.iium.edu.my/26111/ http://irep.iium.edu.my/26111/1/art%253A10.3938%252Fjkps.61.998.pdf |
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| author | Ganikhodjaev, Nasir Mohamed Nawi, Ashraf Rodzhan, Mohd Hirzie |
| author_facet | Ganikhodjaev, Nasir Mohamed Nawi, Ashraf 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 J 1 and ternary interactions J pt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of J pt /J 1 and T/J 1. 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 | 2025-11-14T15:20:08Z |
| format | Article |
| id | iium-26111 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:20:08Z |
| publishDate | 2012 |
| publisher | The Korean Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-261112012-11-06T09:50:06Z http://irep.iium.edu.my/26111/ Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree Ganikhodjaev, Nasir Mohamed Nawi, Ashraf Rodzhan, Mohd Hirzie QA Mathematics We study the phase diagrams for the Potts model with restricted competing nearest-neighbor interactions J 1 and ternary interactions J pt on a Cayley tree of arbitrary order k. At vanishing temperature, the phase diagram is fully determined for all values and signs of J pt /J 1 and T/J 1. 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. The Korean Physical Society 2012-10 Article PeerReviewed application/pdf en http://irep.iium.edu.my/26111/1/art%253A10.3938%252Fjkps.61.998.pdf Ganikhodjaev, Nasir and Mohamed Nawi, Ashraf and Rodzhan, Mohd Hirzie (2012) Potts model with next-nearest-neighbor ternary interactions on an arbitrary-order Cayley tree. Journal of the Korean Physical Society, 61 (7). pp. 998-1004. ISSN 1976-8524 (O), 0374-4884 (P) http://link.springer.com/article/10.3938%2Fjkps.61.998?LI=true# 10.3938/jkps.61.998 |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Mohamed Nawi, Ashraf 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/26111/ http://irep.iium.edu.my/26111/ http://irep.iium.edu.my/26111/ http://irep.iium.edu.my/26111/1/art%253A10.3938%252Fjkps.61.998.pdf |