Critical behavior and conservation in directed sandpiles

Title:
Critical behavior and conservation in directed sandpiles
Creator:
Pastor-Satorras, R (Author)
Vespignani, A (Author)
Language:
English
Publisher:
American Physical Society
Copyright date:
2000
Type of resource:
Text
Genre:
Articles
Format:
electronic
Digital origin:
born digital
Abstract/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.
Comments:
Originally published in Physical Review E, v.62 no.5 (2000), pp.6195-6205. DOI:10.1103/PhysRevE.62.6195. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.
Subjects and keywords:
Conservation laws (Physics)
Stochastic models
Energy dissipation
directed sandpile models
toppling rules
critical behavior
universality classes
Physics

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