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

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

2001-05-28

arxiv.org/abs/cond-mat/0105532v2

Phys.Rev. E66 (2002) 050101

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.66.050101

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.

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