Avalanches, scaling, and coherent noise.

M. Newman,K. Sneppen

Published 1996 in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

ABSTRACT

We present a simple model of a dynamical system driven slowly by externally-imposed coherent noise. Although the system never bcomes critical in the sense of possessing spatial correlations of arbitrarily long range, it does organize into a stationary state characterized by avalanches with a universal power-law size distribution. We explain the behavior of the model within a time-averaged approximation, and discuss its connection to the dynamics of earthquakes, the Gutenberg-Richter law, and to recent experiments on avalanches in rice piles.

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