1/f noise from correlations between avalanches in self-organized criticality

Abstract

We show that large, slowly driven systems can evolve to a self-organized critical state where long range temporal correlations between bursts or avalanches produce low frequency $1/f^{\alpha }$ noise. The avalanches can occur instantaneously in the external time scale of the slow drive, and their event statistics are described by power law distributions. A specific example of this behavior is provided by numerical simulations of a deterministic ``sandpile'' model.

Completely revised version: 4 pages (revtex), 3 eps figures

References in corpus (2)

• Unified Scaling Law for Earthquakes
• Simple model for 1/f noise

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