Stretched exponentials and power laws in granular avalanching

Details Stretched exponentials and power laws in granular avalanching Stretched exponentials and power laws in granular avalanching

1998-05-15

arxiv.org/abs/cond-mat/9805186v2

Physics

Condensed Matter

Statistical Mechanics

8 pages, more concise and some points clarified. To appear in J. Phys. A

Scientific paper

10.1088/0305-4470/32/8/007

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.

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