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
Descripción
Sumario: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.