Avalanche size distribution in a random walk model
Condensed Matter
2007-05-23 v1
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 in the size distribution law.
Cite
@article{arxiv.cond-mat/9607087,
title = {Avalanche size distribution in a random walk model},
author = {T. Jonsson and J. F. Wheater},
journal= {arXiv preprint arXiv:cond-mat/9607087},
year = {2007}
}
Comments
16 pages Latex, macros included, 3 postscript figures