Self-organized criticality in a rice-pile model

Abstract

We present a new model for relaxations in piles of granular material. The relaxations are determined by a stochastic rule which models the effect of friction between the grains. We find power-law distributions for avalanche sizes and lifetimes characterized by the exponents $\tau =1.53\pm 0.05$ and $y=1.84\pm 0.05$, respectively. For the discharge events, we find a characteristic size that scales with the system size as $L^{\mu }$, with $\mu =1.20\pm 0.05$. We also find that the frequency of the discharge events decrease with the system size as $L^{-{\mu }^{\prime }}$ with ${\mu }^{\prime }=1.20\pm 0.05$.

4 pages, RevTex, multicol, epsf, rotate (sty files provided). To appear Phys. Rev. E Rapid Communication (Nov or Dec 96)

References in corpus (5)

• Self-Organized Branching Processes: A Mean-Field Theory for Avalanches
• Tracer Dispersion in a Self-Organized Critical System
• Transport in Sand Piles, Interface Depinning, and Earthquake Models
• Self-organized branching processes: Avalanche models with dissipation
• Energy avalanches in a rice-pile model

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• Interface depinning versus absorbing-state phase transitions
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• Universality classes for rice-pile models
• A lattice gas model of avalanches in a granular pile
• Energy avalanches in a rice-pile model
• Steady State and Relaxation Spectrum of the Oslo Rice-pile
• Some Properties of Sandpile Models as Prototype of Self-Organized Critical Systems
• Temporally disordered granular flow: A model of landslides
• Stretched exponentials and power laws in granular avalanching
• Calculation of the transition matrix and of the occupation probabilities for the states of the Oslo sandpile model
• Dissipative stochastic sandpile model on small world network : properties of non-dissipative and dissipative avalanches
• One-dimensional general forest fire processes
• Residence Time Distribution of Sand Grains in the 1-Dimensional Abelian Sandpile Model