Avalanche size distribution in a random walk model

T. Jonsson; J. F. Wheater

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arXiv · cond-mat/9607087

Avalanche size distribution in a random walk model

T. Jonsson·J. F. Wheater

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Abstract

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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T. Jonsson, J. F. Wheater. 1996-07-12. Avalanche size distribution in a random walk model. https://arxiv.org/abs/cond-mat/9607087

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