Critical behavior and conservation in directed sandpiles

We perform large-scale simulations of directed sandpile models with both deterministic and stochastic toppling rules. Our results show the existence of two distinct universality classes. We also provide numerical simulations of directed models in the presence of bulk dissipation. The numerical resul...

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Detalles Bibliográficos
Autores: Pastor Satorras, Romualdo|||0000-0002-4051-6007, Vespignani, Alessandro
Tipo de recurso: artículo
Fecha de publicación:2000
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/126230
Acceso en línea:https://hdl.handle.net/2117/126230
https://dx.doi.org/10.1103/PhysRevE.62.6195
Access Level:acceso abierto
Palabra clave:--Mètodes de simulació
Sandpiles
Física--Mètodes de simulació
Physics--Simulation methods
Àrees temàtiques de la UPC::Física
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spelling Critical behavior and conservation in directed sandpilesPastor Satorras, Romualdo|||0000-0002-4051-6007Vespignani, Alessandro--Mètodes de simulacióSandpilesFísica--Mètodes de simulacióPhysics--Simulation methodsÀrees temàtiques de la UPC::FísicaWe perform large-scale simulations of directed sandpile models with both deterministic and stochastic toppling rules. Our results show the existence of two distinct universality classes. We also provide numerical simulations of directed models in the presence of bulk dissipation. The numerical results indicate that the way in which dissipation is implemented is irrelevant for the determination of the critical behavior. The analysis of the self-affine properties of avalanches shows the existence of a subset of superuniversal exponents, whose value is independent of the universality class. This feature is accounted for by means of a phenomenological description of the energy balance condition in these models.20002000-11-0120192019-01-07journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/126230https://dx.doi.org/10.1103/PhysRevE.62.6195reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1262302026-05-27T15:37:01Z
dc.title.none.fl_str_mv Critical behavior and conservation in directed sandpiles
title Critical behavior and conservation in directed sandpiles
spellingShingle Critical behavior and conservation in directed sandpiles
Pastor Satorras, Romualdo|||0000-0002-4051-6007
--Mètodes de simulació
Sandpiles
Física--Mètodes de simulació
Physics--Simulation methods
Àrees temàtiques de la UPC::Física
title_short Critical behavior and conservation in directed sandpiles
title_full Critical behavior and conservation in directed sandpiles
title_fullStr Critical behavior and conservation in directed sandpiles
title_full_unstemmed Critical behavior and conservation in directed sandpiles
title_sort Critical behavior and conservation in directed sandpiles
dc.creator.none.fl_str_mv Pastor Satorras, Romualdo|||0000-0002-4051-6007
Vespignani, Alessandro
author Pastor Satorras, Romualdo|||0000-0002-4051-6007
author_facet Pastor Satorras, Romualdo|||0000-0002-4051-6007
Vespignani, Alessandro
author_role author
author2 Vespignani, Alessandro
author2_role author
dc.subject.none.fl_str_mv --Mètodes de simulació
Sandpiles
Física--Mètodes de simulació
Physics--Simulation methods
Àrees temàtiques de la UPC::Física
topic --Mètodes de simulació
Sandpiles
Física--Mètodes de simulació
Physics--Simulation methods
Àrees temàtiques de la UPC::Física
description We perform large-scale simulations of directed sandpile models with both deterministic and stochastic toppling rules. Our results show the existence of two distinct universality classes. We also provide numerical simulations of directed models in the presence of bulk dissipation. The numerical results indicate that the way in which dissipation is implemented is irrelevant for the determination of the critical behavior. The analysis of the self-affine properties of avalanches shows the existence of a subset of superuniversal exponents, whose value is independent of the universality class. This feature is accounted for by means of a phenomenological description of the energy balance condition in these models.
publishDate 2000
dc.date.none.fl_str_mv 2000
2000-11-01
2019
2019-01-07
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/126230
https://dx.doi.org/10.1103/PhysRevE.62.6195
url https://hdl.handle.net/2117/126230
https://dx.doi.org/10.1103/PhysRevE.62.6195
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
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repository.mail.fl_str_mv
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