Long-Tailed Trapping Times and Levy Flights in a Self-Organized Critical Granular System

Abstract

We present a continuous time random walk model for the scale-invariant transport found in a self-organized critical rice pile [Christensen et al., Phys. Rev. Lett. 77, 107 (1996)]. From our analytical results it is shown that the dynamics of the experiment can be explained in terms of Lévy flights for the grains and a long-tailed distribution of trapping times. Scaling relations for the exponents of these distributions are obtained. The predicted microscopic behavior is confirmed by means of a cellular automaton model.

4 pages, RevTex, includes 3 PostScript figures, submitted to Phys. Rev. Lett

References in corpus (3)

• Tracer Dispersion in a Self-Organized Critical System
• Transport in Sand Piles, Interface Depinning, and Earthquake Models
• Self-organized criticality in a rice-pile model

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