Low-temperature Glauber dynamics under weak competing interactions

Autores
Grynberg, Marcelo Daniel
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider the low but nonzero temperature regimes of the Glauber dynamics in a chain of Ising spins with first- and second-neighbor interactions J1,  J2.  For 0 < -J2 /|J1 | < 1 it is known that at T = 0  the dynamics is both metastable and noncoarsening, while being always ergodic and coarsening in the limit of T = 0+ . Based on finite-size scaling analyses of relaxation times, here we argue that in that latter situation the asymptotic kinetics of small or weakly frustrated -J2 /| J1| ratios is characterized by an almost ballistic dynamic exponent z = 1.03(2) and arbitrarily slow velocities of growth. By contrast, for noncompeting interactions the coarsening length scales are estimated to be almost diffusive.
Fil: Grynberg, Marcelo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; Argentina
Materia
Frustration
Metastability
Ballitic exponents
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/47908
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Low-temperature Glauber dynamics under weak competing interactionsGrynberg, Marcelo DanielFrustrationMetastabilityBallitic exponentshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We consider the low but nonzero temperature regimes of the Glauber dynamics in a chain of Ising spins with first- and second-neighbor interactions J1,  J2.  For 0 < -J2 /|J1 | < 1 it is known that at T = 0  the dynamics is both metastable and noncoarsening, while being always ergodic and coarsening in the limit of T = 0+ . Based on finite-size scaling analyses of relaxation times, here we argue that in that latter situation the asymptotic kinetics of small or weakly frustrated -J2 /| J1| ratios is characterized by an almost ballistic dynamic exponent z = 1.03(2) and arbitrarily slow velocities of growth. By contrast, for noncompeting interactions the coarsening length scales are estimated to be almost diffusive.Fil: Grynberg, Marcelo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; ArgentinaAmerican Physical Society2015-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/47908Grynberg, Marcelo Daniel; Low-temperature Glauber dynamics under weak competing interactions; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 91; 3; 3-2015; 1-91063-651XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.032129info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.91.032129info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:32:26Zoai:ri.conicet.gov.ar:11336/47908instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:32:26.612CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Low-temperature Glauber dynamics under weak competing interactions
title Low-temperature Glauber dynamics under weak competing interactions
spellingShingle Low-temperature Glauber dynamics under weak competing interactions
Grynberg, Marcelo Daniel
Frustration
Metastability
Ballitic exponents
title_short Low-temperature Glauber dynamics under weak competing interactions
title_full Low-temperature Glauber dynamics under weak competing interactions
title_fullStr Low-temperature Glauber dynamics under weak competing interactions
title_full_unstemmed Low-temperature Glauber dynamics under weak competing interactions
title_sort Low-temperature Glauber dynamics under weak competing interactions
dc.creator.none.fl_str_mv Grynberg, Marcelo Daniel
author Grynberg, Marcelo Daniel
author_facet Grynberg, Marcelo Daniel
author_role author
dc.subject.none.fl_str_mv Frustration
Metastability
Ballitic exponents
topic Frustration
Metastability
Ballitic exponents
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider the low but nonzero temperature regimes of the Glauber dynamics in a chain of Ising spins with first- and second-neighbor interactions J1,  J2.  For 0 < -J2 /|J1 | < 1 it is known that at T = 0  the dynamics is both metastable and noncoarsening, while being always ergodic and coarsening in the limit of T = 0+ . Based on finite-size scaling analyses of relaxation times, here we argue that in that latter situation the asymptotic kinetics of small or weakly frustrated -J2 /| J1| ratios is characterized by an almost ballistic dynamic exponent z = 1.03(2) and arbitrarily slow velocities of growth. By contrast, for noncompeting interactions the coarsening length scales are estimated to be almost diffusive.
Fil: Grynberg, Marcelo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas; Argentina
description We consider the low but nonzero temperature regimes of the Glauber dynamics in a chain of Ising spins with first- and second-neighbor interactions J1,  J2.  For 0 < -J2 /|J1 | < 1 it is known that at T = 0  the dynamics is both metastable and noncoarsening, while being always ergodic and coarsening in the limit of T = 0+ . Based on finite-size scaling analyses of relaxation times, here we argue that in that latter situation the asymptotic kinetics of small or weakly frustrated -J2 /| J1| ratios is characterized by an almost ballistic dynamic exponent z = 1.03(2) and arbitrarily slow velocities of growth. By contrast, for noncompeting interactions the coarsening length scales are estimated to be almost diffusive.
publishDate 2015
dc.date.none.fl_str_mv 2015-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/47908
Grynberg, Marcelo Daniel; Low-temperature Glauber dynamics under weak competing interactions; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 91; 3; 3-2015; 1-9
1063-651X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/47908
identifier_str_mv Grynberg, Marcelo Daniel; Low-temperature Glauber dynamics under weak competing interactions; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 91; 3; 3-2015; 1-9
1063-651X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pre/abstract/10.1103/PhysRevE.91.032129
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.91.032129
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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