Transport in Sand Piles, Interface Depinning, and Earthquake Models

Abstract

Recent numerical results for a model describing dispersive transport in rice piles are explained by mapping the model to the depinning transition of an interface that is dragged at one end through a random medium. The average velocity of transport vanishes with system size $L$ as $<v>\sim L^{2-D}\sim L^{-0.23}$, and the avalanche size distribution exponent $\tau =2-1/D\simeq 1.55$, where $D\simeq 2.23$ from interface depinning. We conjecture that the purely deterministic Burridge-Knopoff ``train'' model for earthquakes is in the same universality class.

10 pages, Revtex

References in corpus (2)

• Avalanche Dynamics in Evolution, Growth, and Depinning Models
• Tracer Dispersion in a Self-Organized Critical System

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