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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/160127
Ver los metadatos del registro completo
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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) |
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SEDICI (UNLP) |
instname_str |
Universidad Nacional de La Plata |
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UNLP |
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UNLP |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
repository.mail.fl_str_mv |
alira@sedici.unlp.edu.ar |
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1846783671512596480 |
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12.982451 |