Competing binary and k-tuple interactions on a Cayley tree of arbitrary order

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...

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Main Authors: Ganikhodjaev, Nasir, Uguz, Selman
Format: Article
Language:English
Published: Elsevier BV * North-Holland 2011
Subjects:
QA Mathematics
Online Access: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
id iium-1562
recordtype eprints
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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
Uguz, Selman
Competing binary and k-tuple interactions on a Cayley tree of arbitrary order
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.
format Article
author Ganikhodjaev, Nasir
Uguz, Selman
author_facet Ganikhodjaev, Nasir
Uguz, Selman
author_sort Ganikhodjaev, Nasir
title 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_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_sort competing binary and k-tuple interactions on a cayley tree of arbitrary order
publisher Elsevier BV * North-Holland
publishDate 2011
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
first_indexed 2023-09-18T20:08:56Z
last_indexed 2023-09-18T20:08:56Z
_version_ 1777407346595594240

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