Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order

Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order

Different types of the lattice spin systems with the competing interactions have rich and interesting phase diagrams. In this study a system with competing nearest-neighbor interaction J1, prolonged next-nearest-neighbor interaction Jp and ternary prolonged interaction Jtp is considered on a Cayley...

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Main Authors: Uguz, Selman, Ganikhodjaev, Nasir, Akin, Hasan, Temir, Seyit
Format: Article
Language:English
Published: World Scientific Publishing Company 2012
Subjects:
QA Mathematics
QC Physics
Online Access:http://irep.iium.edu.my/24304/
http://irep.iium.edu.my/24304/
http://irep.iium.edu.my/24304/
http://irep.iium.edu.my/24304/1/S0129183112500398.pdf
id iium-24304
recordtype eprints
spelling iium-243042012-06-11T01:49:34Z http://irep.iium.edu.my/24304/ Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order Uguz, Selman Ganikhodjaev, Nasir Akin, Hasan Temir, Seyit QA Mathematics QC Physics Different types of the lattice spin systems with the competing interactions have rich and interesting phase diagrams. In this study a system with competing nearest-neighbor interaction J1, prolonged next-nearest-neighbor interaction Jp and ternary prolonged interaction Jtp is considered on a Cayley tree of arbitrary order k. To perform this study, an iterative scheme is developed for the corresponding Hamiltonian model. At finite temperatures several interesting properties are presented for typical values of α = T/J1, β = −Jp/J1 and γ = -Jtp/J1. This study recovers as particular cases, previous work by Vannimenus1 with γ = 0 for k = 2 and Ganikhodjaev et al.2 in the presence J1, Jp, Jtp with k = 2. The variation of the wavevector q with temperature in the modulated phase and the Lyapunov exponent associated with the trajectory of our iterative system are studied in detail. World Scientific Publishing Company 2012-06 Article PeerReviewed application/pdf en http://irep.iium.edu.my/24304/1/S0129183112500398.pdf Uguz, Selman and Ganikhodjaev, Nasir and Akin, Hasan and Temir, Seyit (2012) Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order. International Journal of Modern Physics C, 23 (5). 1250039 (1)-1250039 (15). ISSN 1793-6586 (O), 0129-1831 (P) http://www.worldscinet.com/ijmpc/23/2305/S0129183112500398.html 10.1142/S0129183112500398
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
QC Physics
spellingShingle QA Mathematics
QC Physics
Uguz, Selman
Ganikhodjaev, Nasir
Akin, Hasan
Temir, Seyit
Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order
description Different types of the lattice spin systems with the competing interactions have rich and interesting phase diagrams. In this study a system with competing nearest-neighbor interaction J1, prolonged next-nearest-neighbor interaction Jp and ternary prolonged interaction Jtp is considered on a Cayley tree of arbitrary order k. To perform this study, an iterative scheme is developed for the corresponding Hamiltonian model. At finite temperatures several interesting properties are presented for typical values of α = T/J1, β = −Jp/J1 and γ = -Jtp/J1. This study recovers as particular cases, previous work by Vannimenus1 with γ = 0 for k = 2 and Ganikhodjaev et al.2 in the presence J1, Jp, Jtp with k = 2. The variation of the wavevector q with temperature in the modulated phase and the Lyapunov exponent associated with the trajectory of our iterative system are studied in detail.
format Article
author Uguz, Selman
Ganikhodjaev, Nasir
Akin, Hasan
Temir, Seyit
author_facet Uguz, Selman
Ganikhodjaev, Nasir
Akin, Hasan
Temir, Seyit
author_sort Uguz, Selman
title Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order
title_short Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order
title_full Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order
title_fullStr Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order
title_full_unstemmed Lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order
title_sort lyapunov exponents and modulated phases of an ising model on cayley tree of arbitrary order
publisher World Scientific Publishing Company
publishDate 2012
url http://irep.iium.edu.my/24304/
http://irep.iium.edu.my/24304/
http://irep.iium.edu.my/24304/
http://irep.iium.edu.my/24304/1/S0129183112500398.pdf
first_indexed 2023-09-18T20:36:29Z
last_indexed 2023-09-18T20:36:29Z
_version_ 1777409080303812608

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