Avalanches, Scaling and Coherent Noise
arXiv:cond-mat/9606066 · doi:10.1103/PhysRevE.54.6226
Abstract
We present a simple model of a dynamical system driven by externally-imposed coherent noise. Although the system never becomes critical in the sense of possessing spatial correlations of arbitrarily long range, it does organize into a stationary state characterized by avalanches with a power-law size distribution. We explain the behavior of the model within a time-averaged approximation, and discuss its potential connection to the dynamics of earthquakes, the Gutenberg-Richter law, and to recent experiments on avalanches in rice piles.
17 pages, 4 Postscript figures, written in LaTeX using RevTeX and epsfig.sty
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