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Avalanche size distribution in a random walk model

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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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
Publication date:
1996-07-12
Source identifiers:
150094
Keywords:
Pubs id:
pubs:150094
UUID:
uuid:cc650ddf-6428-48b5-bb62-6a08bc5406e9
Local pid:
pubs:150094
Deposit date:
2013-02-20

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