Revisiting Kawasaki dynamics in one dimension

Autores
Grynberg, Marcelo Daniel
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Critical exponents of the Kawasaki dynamics in the Ising chain are re-examined numerically through the spectrum gap of evolution operators constructed both in spin and domain-wall representations. At low-temperature regimes the latter provides a rapid finite-size convergence to these exponents, which tend to z ≃ 3.11 for instant quenches under ferromagnetic couplings, while approaching to z ≃ 2 in the antiferro case. The spin representation complements the evaluation of dynamic exponents at higher temperature scales, where the kinetics still remains slow.
Facultad de Ciencias Exactas
Materia
Física
Dimension (vector space)
Spectrum (functional analysis)
Critical exponent
Spin representation
Condensed matter physics
Mathematics
Mathematical physics
Dynamics (mechanics)
Convergence (routing)
Ferromagnetism
Spin-½
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/126018
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/126018
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Revisiting Kawasaki dynamics in one dimensionGrynberg, Marcelo DanielFísicaDimension (vector space)Spectrum (functional analysis)Critical exponentSpin representationCondensed matter physicsMathematicsMathematical physicsDynamics (mechanics)Convergence (routing)FerromagnetismSpin-½Critical exponents of the Kawasaki dynamics in the Ising chain are re-examined numerically through the spectrum gap of evolution operators constructed both in spin and domain-wall representations. At low-temperature regimes the latter provides a rapid finite-size convergence to these exponents, which tend to z ≃ 3.11 for instant quenches under ferromagnetic couplings, while approaching to z ≃ 2 in the antiferro case. The spin representation complements the evaluation of dynamic exponents at higher temperature scales, where the kinetics still remains slow.Facultad de Ciencias Exactas2010-11-16info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/126018enginfo:eu-repo/semantics/altIdentifier/issn/1539-3755info:eu-repo/semantics/altIdentifier/issn/1550-2376info:eu-repo/semantics/altIdentifier/arxiv/1009.4511info:eu-repo/semantics/altIdentifier/doi/10.1103/physreve.82.051121info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:11:11Zoai:sedici.unlp.edu.ar:10915/126018Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:11:12.23SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Revisiting Kawasaki dynamics in one dimension
title Revisiting Kawasaki dynamics in one dimension
spellingShingle Revisiting Kawasaki dynamics in one dimension
Grynberg, Marcelo Daniel
Física
Dimension (vector space)
Spectrum (functional analysis)
Critical exponent
Spin representation
Condensed matter physics
Mathematics
Mathematical physics
Dynamics (mechanics)
Convergence (routing)
Ferromagnetism
Spin-½
title_short Revisiting Kawasaki dynamics in one dimension
title_full Revisiting Kawasaki dynamics in one dimension
title_fullStr Revisiting Kawasaki dynamics in one dimension
title_full_unstemmed Revisiting Kawasaki dynamics in one dimension
title_sort Revisiting Kawasaki dynamics in one dimension
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 Física
Dimension (vector space)
Spectrum (functional analysis)
Critical exponent
Spin representation
Condensed matter physics
Mathematics
Mathematical physics
Dynamics (mechanics)
Convergence (routing)
Ferromagnetism
Spin-½
topic Física
Dimension (vector space)
Spectrum (functional analysis)
Critical exponent
Spin representation
Condensed matter physics
Mathematics
Mathematical physics
Dynamics (mechanics)
Convergence (routing)
Ferromagnetism
Spin-½
dc.description.none.fl_txt_mv Critical exponents of the Kawasaki dynamics in the Ising chain are re-examined numerically through the spectrum gap of evolution operators constructed both in spin and domain-wall representations. At low-temperature regimes the latter provides a rapid finite-size convergence to these exponents, which tend to z ≃ 3.11 for instant quenches under ferromagnetic couplings, while approaching to z ≃ 2 in the antiferro case. The spin representation complements the evaluation of dynamic exponents at higher temperature scales, where the kinetics still remains slow.
Facultad de Ciencias Exactas
description Critical exponents of the Kawasaki dynamics in the Ising chain are re-examined numerically through the spectrum gap of evolution operators constructed both in spin and domain-wall representations. At low-temperature regimes the latter provides a rapid finite-size convergence to these exponents, which tend to z ≃ 3.11 for instant quenches under ferromagnetic couplings, while approaching to z ≃ 2 in the antiferro case. The spin representation complements the evaluation of dynamic exponents at higher temperature scales, where the kinetics still remains slow.
publishDate 2010
dc.date.none.fl_str_mv 2010-11-16
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/126018
url http://sedici.unlp.edu.ar/handle/10915/126018
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1539-3755
info:eu-repo/semantics/altIdentifier/issn/1550-2376
info:eu-repo/semantics/altIdentifier/arxiv/1009.4511
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreve.82.051121
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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