Quantum approach to nucleation times of kinetic Ising ferromagnets

Low temperature dynamics of Ising ferromagnets under finite magnetic fields are studied in terms of quantum spin representations of stochastic evolution operators. These are constructed for the Glauber dynamic as well as for its modification, introduced by Park et al. [Phys. Rev. Lett. 92, 015701 (2...

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Detalles Bibliográficos
Autores principales: Grynberg, Marcelo Daniel, Stinchcombe, Robin
Formato: Articulo
Lenguaje:Inglés
Publicado: 2005
Materias:
Física
Eigenvalues and eigenvectors
Field (physics)
Mathematics
Relaxation (nmr)
Ising model
Spin (physics)
Quantum mechanics
Symmetrization
Operator (computer programming)
Statistical mechanics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125878
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125878
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Eigenvalues and eigenvectors
Field (physics)
Mathematics
Relaxation (nmr)
Ising model
Spin (physics)
Quantum mechanics
Symmetrization
Operator (computer programming)
Statistical mechanics
spellingShingle Física
Eigenvalues and eigenvectors
Field (physics)
Mathematics
Relaxation (nmr)
Ising model
Spin (physics)
Quantum mechanics
Symmetrization
Operator (computer programming)
Statistical mechanics
Grynberg, Marcelo Daniel
Stinchcombe, Robin
Quantum approach to nucleation times of kinetic Ising ferromagnets
topic_facet Física
Eigenvalues and eigenvectors
Field (physics)
Mathematics
Relaxation (nmr)
Ising model
Spin (physics)
Quantum mechanics
Symmetrization
Operator (computer programming)
Statistical mechanics
description Low temperature dynamics of Ising ferromagnets under finite magnetic fields are studied in terms of quantum spin representations of stochastic evolution operators. These are constructed for the Glauber dynamic as well as for its modification, introduced by Park et al. [Phys. Rev. Lett. 92, 015701 (2004)]. In both cases the relaxation time after a field quench is evaluated both numerically and analytically using the spectrum gap of the corresponding operators. The numerical work employs standard recursive techniques following a symmetrization of the evolution operator accomplished by a nonunitary spin rotation. The analytical approach uses low temperature limits to identify dominant terms in the eigenvalue problem. It is argued that the relaxation times already provide a measure of actual nucleation lifetimes under finite fields. The approach is applied to square, triangular and honeycomb lattices.
format Articulo
Articulo
author Grynberg, Marcelo Daniel
Stinchcombe, Robin
author_facet Grynberg, Marcelo Daniel
Stinchcombe, Robin
author_sort Grynberg, Marcelo Daniel
title Quantum approach to nucleation times of kinetic Ising ferromagnets
title_short Quantum approach to nucleation times of kinetic Ising ferromagnets
title_full Quantum approach to nucleation times of kinetic Ising ferromagnets
title_fullStr Quantum approach to nucleation times of kinetic Ising ferromagnets
title_full_unstemmed Quantum approach to nucleation times of kinetic Ising ferromagnets
title_sort quantum approach to nucleation times of kinetic ising ferromagnets
publishDate 2005
url http://sedici.unlp.edu.ar/handle/10915/125878
work_keys_str_mv AT grynbergmarcelodaniel quantumapproachtonucleationtimesofkineticisingferromagnets
AT stinchcomberobin quantumapproachtonucleationtimesofkineticisingferromagnets
bdutipo_str Repositorios
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