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

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 si...

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Autores principales: Montani, Fernando Fabián, Albano, Ezequiel Vicente
Formato: Articulo
Lenguaje:Inglés
Publicado: 1995
Materias:
Física
Ising Model
criticality
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/160127
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-160127
record_format dspace
spelling I19-R120-10915-1601272023-11-14T20:07:05Z http://sedici.unlp.edu.ar/handle/10915/160127 Dynamics of damage spreading in the two-dimensional Ising magnet at criticality Montani, Fernando Fabián Albano, Ezequiel Vicente 1995-06-26 2023-11-14T15:12:26Z en Física Ising Model criticality 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 Articulo Articulo http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf 253-257
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Ising Model
criticality
spellingShingle Física
Ising Model
criticality
Montani, Fernando Fabián
Albano, Ezequiel Vicente
Dynamics of damage spreading in the two-dimensional Ising magnet at criticality
topic_facet Física
Ising Model
criticality
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.
format Articulo
Articulo
author Montani, Fernando Fabián
Albano, Ezequiel Vicente
author_facet Montani, Fernando Fabián
Albano, Ezequiel Vicente
author_sort Montani, Fernando Fabián
title Dynamics of damage spreading in the two-dimensional Ising magnet at 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
publishDate 1995
url http://sedici.unlp.edu.ar/handle/10915/160127
work_keys_str_mv AT montanifernandofabian dynamicsofdamagespreadinginthetwodimensionalisingmagnetatcriticality
AT albanoezequielvicente dynamicsofdamagespreadinginthetwodimensionalisingmagnetatcriticality
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