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Transport in Sand Piles, Interface Depinning, and Earthquake Models

Maya Paczuski·Stefan Boettcher
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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 $ \sim L^{2-D}\sim L^{-0.23}$, and the avalanche size distribution exponent $τ= 2 - 1/D \simeq 1.55$, 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.

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Maya Paczuski, Stefan Boettcher. 1996-03-16. Transport in Sand Piles, Interface Depinning, and Earthquake Models. https://doi.org/10.1103/physrevlett.77.111

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