Critical behavior and conservation in directed sandpiles

Abstract

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 super-universal 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.

23 pages, 18 EPS figures, Revtex style

References in corpus (6)

• Absorbing-state phase transitions in fixed-energy sandpiles
• Multifractal scaling in the Bak-Tang-Wiesenfeld Sandpile and edge events
• Moment analysis of the probability distributions of different sandpile models
• Universality classes in directed sandpile models
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Cited by in corpus (10)

• Confirming and extending the hypothesis of universality in sandpiles
• Non-Perturbative Renormalization Group for the Diffusive Epidemic Process
• Characteristics of Deterministic and Stochastic Sandpile Models in a Rotational Sandpile Model
• Diffusion in stochastic sandpiles
• Percolation analysis of force networks in anisotropic granular matter
• Directed avalanche processes with underlying interface dynamics
• Directed Fixed Energy Sandpile Model
• Relevance of Abelian Symmetry and Stochasticity in Directed Sandpiles
• Universality classes and crossover behaviors in non-Abelian directed sandpiles
• Crossover component in non critical dissipative sandpile models