Dynamics of damage spreading in the two-dimensional Ising magnet at criticality

Autores
Montani, Fernando Fabián; Albano, Ezequiel Vicente
Año de publicación
1995
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The spreading dynamics of an initially small damage is studied for the two-dimensional Ising model at criticality using the Glauber dynamics. The number of damaged sites, Nd(t), the survival probability of the damage, P(t), and the mean square distance over which the damage spreads, R²(t), obey a simple power law behavior with critical exponents η⋍ 1.11 ± 0.03 δ ⋍ 0.58 ± 0.03 and z* ⋍ 1.19 ± 0.03, respectively. It is found that the scaling relation df = 2η/z* gives the fractal dimension of the Ising droplets.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Física
Ising Model
criticality
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:10915/160127

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network_name_str SEDICI (UNLP)
spelling Dynamics of damage spreading in the two-dimensional Ising magnet at criticalityMontani, Fernando FabiánAlbano, Ezequiel VicenteFísicaIsing ModelcriticalityThe spreading dynamics of an initially small damage is studied for the two-dimensional Ising model at criticality using the Glauber dynamics. The number of damaged sites, Nd(t), the survival probability of the damage, P(t), and the mean square distance over which the damage spreads, R²(t), obey a simple power law behavior with critical exponents η⋍ 1.11 ± 0.03 δ ⋍ 0.58 ± 0.03 and z* ⋍ 1.19 ± 0.03, respectively. It is found that the scaling relation df = 2η/z* gives the fractal dimension of the Ising droplets.Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas1995-06-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf253-257http://sedici.unlp.edu.ar/handle/10915/160127enginfo:eu-repo/semantics/altIdentifier/issn/0375-9601info:eu-repo/semantics/altIdentifier/doi/10.1016/0375-9601(95)00298-Hinfo: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:UNLP2025-10-22T17:22:48Zoai:sedici.unlp.edu.ar:10915/160127Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:22:49.265SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Dynamics of damage spreading in the two-dimensional Ising magnet at criticality
title Dynamics of damage spreading in the two-dimensional Ising magnet at criticality
spellingShingle Dynamics of damage spreading in the two-dimensional Ising magnet at criticality
Montani, Fernando Fabián
Física
Ising Model
criticality
title_short Dynamics of damage spreading in the two-dimensional Ising magnet at criticality
title_full Dynamics of damage spreading in the two-dimensional Ising magnet at criticality
title_fullStr Dynamics of damage spreading in the two-dimensional Ising magnet at criticality
title_full_unstemmed Dynamics of damage spreading in the two-dimensional Ising magnet at criticality
title_sort Dynamics of damage spreading in the two-dimensional Ising magnet at criticality
dc.creator.none.fl_str_mv Montani, Fernando Fabián
Albano, Ezequiel Vicente
author Montani, Fernando Fabián
author_facet Montani, Fernando Fabián
Albano, Ezequiel Vicente
author_role author
author2 Albano, Ezequiel Vicente
author2_role author
dc.subject.none.fl_str_mv Física
Ising Model
criticality
topic Física
Ising Model
criticality
dc.description.none.fl_txt_mv The spreading dynamics of an initially small damage is studied for the two-dimensional Ising model at criticality using the Glauber dynamics. The number of damaged sites, Nd(t), the survival probability of the damage, P(t), and the mean square distance over which the damage spreads, R²(t), obey a simple power law behavior with critical exponents η⋍ 1.11 ± 0.03 δ ⋍ 0.58 ± 0.03 and z* ⋍ 1.19 ± 0.03, respectively. It is found that the scaling relation df = 2η/z* gives the fractal dimension of the Ising droplets.
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description The spreading dynamics of an initially small damage is studied for the two-dimensional Ising model at criticality using the Glauber dynamics. The number of damaged sites, Nd(t), the survival probability of the damage, P(t), and the mean square distance over which the damage spreads, R²(t), obey a simple power law behavior with critical exponents η⋍ 1.11 ± 0.03 δ ⋍ 0.58 ± 0.03 and z* ⋍ 1.19 ± 0.03, respectively. It is found that the scaling relation df = 2η/z* gives the fractal dimension of the Ising droplets.
publishDate 1995
dc.date.none.fl_str_mv 1995-06-26
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/10915/160127
url http://sedici.unlp.edu.ar/handle/10915/160127
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0375-9601
info:eu-repo/semantics/altIdentifier/doi/10.1016/0375-9601(95)00298-H
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
253-257
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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