Dynamical properties of the Zhang model of self-organized criticality

Critical exponents of the infinitely slowly driven Zhang model of self-organized criticality are computed for d=2 and 3, with particular emphasis devoted to the various roughening exponents. Besides confirming recent estimates of some exponents, new quantities are monitored, and their critical expon...

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Detalles Bibliográficos
Autores: Giacometti, Achille, Díaz Guilera, Albert
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1998
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18887
Acceso en línea:https://hdl.handle.net/2445/18887
Access Level:acceso abierto
Palabra clave:Física estadística
Termodinàmica
Sistemes no lineals
Propietats magnètiques
Equacions d'estat
Regla de les fases i equilibri
Transformacions de fase (Física estadística)
Statistical physics
Thermodynamics
Nonlinear systems
Magnetic properties
Equations of state
Phase rule and equilibrium
Phase transformations (Statistical physics)
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spelling Dynamical properties of the Zhang model of self-organized criticalityGiacometti, AchilleDíaz Guilera, AlbertFísica estadísticaTermodinàmicaSistemes no linealsPropietats magnètiquesEquacions d'estatRegla de les fases i equilibriTransformacions de fase (Física estadística)Statistical physicsThermodynamicsNonlinear systemsMagnetic propertiesEquations of statePhase rule and equilibriumPhase transformations (Statistical physics)Critical exponents of the infinitely slowly driven Zhang model of self-organized criticality are computed for d=2 and 3, with particular emphasis devoted to the various roughening exponents. Besides confirming recent estimates of some exponents, new quantities are monitored, and their critical exponents computed. Among other results, it is shown that the three-dimensional exponents do not coincide with the Bak-Tang-Wiesenfeld [Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988)] (Abelian) model, and that the dynamical exponent as computed from the correlation length and from the roughness of the energy profile do not necessarily coincide, as is usually implicitly assumed. An explanation for this is provided. The possibility of comparing these results with those obtained from renormalization group arguments is also briefly addressed.The American Physical Society1998info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/18887Articles publicats en revistes (Física de la Matèria Condensada)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.58.247Physical Review e, 1998, vol. 58, núm. 1, p. 247-253http://dx.doi.org/10.1103/PhysRevE.58.247(c) American Physical Society, 1998info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/188872026-05-27T06:46:51Z
dc.title.none.fl_str_mv Dynamical properties of the Zhang model of self-organized criticality
title Dynamical properties of the Zhang model of self-organized criticality
spellingShingle Dynamical properties of the Zhang model of self-organized criticality
Giacometti, Achille
Física estadística
Termodinàmica
Sistemes no lineals
Propietats magnètiques
Equacions d'estat
Regla de les fases i equilibri
Transformacions de fase (Física estadística)
Statistical physics
Thermodynamics
Nonlinear systems
Magnetic properties
Equations of state
Phase rule and equilibrium
Phase transformations (Statistical physics)
title_short Dynamical properties of the Zhang model of self-organized criticality
title_full Dynamical properties of the Zhang model of self-organized criticality
title_fullStr Dynamical properties of the Zhang model of self-organized criticality
title_full_unstemmed Dynamical properties of the Zhang model of self-organized criticality
title_sort Dynamical properties of the Zhang model of self-organized criticality
dc.creator.none.fl_str_mv Giacometti, Achille
Díaz Guilera, Albert
author Giacometti, Achille
author_facet Giacometti, Achille
Díaz Guilera, Albert
author_role author
author2 Díaz Guilera, Albert
author2_role author
dc.subject.none.fl_str_mv Física estadística
Termodinàmica
Sistemes no lineals
Propietats magnètiques
Equacions d'estat
Regla de les fases i equilibri
Transformacions de fase (Física estadística)
Statistical physics
Thermodynamics
Nonlinear systems
Magnetic properties
Equations of state
Phase rule and equilibrium
Phase transformations (Statistical physics)
topic Física estadística
Termodinàmica
Sistemes no lineals
Propietats magnètiques
Equacions d'estat
Regla de les fases i equilibri
Transformacions de fase (Física estadística)
Statistical physics
Thermodynamics
Nonlinear systems
Magnetic properties
Equations of state
Phase rule and equilibrium
Phase transformations (Statistical physics)
description Critical exponents of the infinitely slowly driven Zhang model of self-organized criticality are computed for d=2 and 3, with particular emphasis devoted to the various roughening exponents. Besides confirming recent estimates of some exponents, new quantities are monitored, and their critical exponents computed. Among other results, it is shown that the three-dimensional exponents do not coincide with the Bak-Tang-Wiesenfeld [Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988)] (Abelian) model, and that the dynamical exponent as computed from the correlation length and from the roughness of the energy profile do not necessarily coincide, as is usually implicitly assumed. An explanation for this is provided. The possibility of comparing these results with those obtained from renormalization group arguments is also briefly addressed.
publishDate 1998
dc.date.none.fl_str_mv 1998
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/18887
url https://hdl.handle.net/2445/18887
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.58.247
Physical Review e, 1998, vol. 58, núm. 1, p. 247-253
http://dx.doi.org/10.1103/PhysRevE.58.247
dc.rights.none.fl_str_mv (c) American Physical Society, 1998
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 1998
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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