Avalanche size distribution in a random walk model

Details Avalanche size distribution in a random walk model Avalanche size distribution in a random walk model

1996-07-12

arxiv.org/abs/cond-mat/9607087v1

Physics

Condensed Matter

16 pages Latex, macros included, 3 postscript figures

Scientific paper

We introduce a simple model for the size distribution of avalanches based on the idea that the front of an avalanche can be described by a directed random walk. The model captures some of the qualitative features of earthquakes, avalanches and other self-organized critical phenomena in one dimension. We find scaling laws relating the frequency, size and width of avalanches and an exponent $4/3$ in the size distribution law.

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