Avalanche size distribution in a random walk model
نویسندگان
چکیده
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. e-mail: [email protected] Permanent address: University of Iceland, Dunhaga 3, 107 Reykjavik, Iceland e-mail: [email protected]
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