Competing binary and k-tuple interactions on a Cayley tree of arbitrary order
We study the phase diagram for the Ising 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 neighbor interaction Jo. The phase diagram is studied for several ranges of the competing param...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier BV * North-Holland
2011
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1562/ http://irep.iium.edu.my/1562/1/PhysicaA_Selman.pdf |
| _version_ | 1848775874357231616 |
|---|---|
| author | Ganikhodjaev, Nasir Uguz, Selman |
| author_facet | Ganikhodjaev, Nasir Uguz, Selman |
| author_sort | Ganikhodjaev, Nasir |
| building | IIUM Repository |
| collection | Online Access |
| description | We study the phase diagram for the Ising 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 neighbor interaction Jo. The phase diagram is studied for several ranges of the competing parameters; it shows the appearance of several features and modulated phases arising from the frustration effects introduced by the one-level k-tuple neighbor interaction Jo. The variation of the wavevector with temperature in the modulate phase is studied in detail; it shows narrow commensurate steps between incommensurate
regions. Finally, the Lyapunov exponent associated with the trajectory of the system is investigated. |
| first_indexed | 2025-11-14T14:21:08Z |
| format | Article |
| id | iium-1562 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:21:08Z |
| publishDate | 2011 |
| publisher | Elsevier BV * North-Holland |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-15622013-06-21T02:55:42Z http://irep.iium.edu.my/1562/ Competing binary and k-tuple interactions on a Cayley tree of arbitrary order Ganikhodjaev, Nasir Uguz, Selman QA Mathematics We study the phase diagram for the Ising 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 neighbor interaction Jo. The phase diagram is studied for several ranges of the competing parameters; it shows the appearance of several features and modulated phases arising from the frustration effects introduced by the one-level k-tuple neighbor interaction Jo. The variation of the wavevector with temperature in the modulate phase is studied in detail; it shows narrow commensurate steps between incommensurate regions. Finally, the Lyapunov exponent associated with the trajectory of the system is investigated. Elsevier BV * North-Holland 2011-07-06 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1562/1/PhysicaA_Selman.pdf Ganikhodjaev, Nasir and Uguz, Selman (2011) Competing binary and k-tuple interactions on a Cayley tree of arbitrary order. Physica A: Statistical Mechanics and its Applications, 390 (23-24). pp. 4160-4173. ISSN 0378-4371 http://www.sciencedirect.com/science/article/pii/S0378437111004912 10.1016/j.physa.2011.06.044 |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Uguz, Selman Competing binary and k-tuple interactions on a Cayley tree of arbitrary order |
| title | Competing binary and k-tuple interactions on a Cayley tree of arbitrary order |
| title_full | Competing binary and k-tuple interactions on a Cayley tree of arbitrary order |
| title_fullStr | Competing binary and k-tuple interactions on a Cayley tree of arbitrary order |
| title_full_unstemmed | Competing binary and k-tuple interactions on a Cayley tree of arbitrary order |
| title_short | Competing binary and k-tuple interactions on a Cayley tree of arbitrary order |
| title_sort | competing binary and k-tuple interactions on a cayley tree of arbitrary order |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1562/ http://irep.iium.edu.my/1562/ http://irep.iium.edu.my/1562/ http://irep.iium.edu.my/1562/1/PhysicaA_Selman.pdf |