D. A. Head, G. J. Rodgers
Published 1998-05-15, updated 1999-01-12Version 2
We introduce a model for granular avalanching which exhibits both stretched exponential and power law avalanching over its parameter range. Two modes of transport are incorporated, a rolling layer consisting of individual particles and the overdamped, sliding motion of particle clusters. The crossover in behaviour observed in experiments on piles of rice is attributed to a change in the dominant mode of transport. We predict that power law avalanching will be observed whenever surface flow is dominated by clustered motion.
Comments: 8 pages, more concise and some points clarified. To appear in J. Phys. A
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