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Avalanches, Scaling, and Coherent Noise

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Abstract

We present a simple model of a dynamical system driven slowly 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 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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1996-03

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Cornell University

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theory center

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http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.tc/96-237

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technical report

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