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arxiv: cond-mat/0105532 · v2 · submitted 2001-05-28 · ❄️ cond-mat.stat-mech · astro-ph

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

classification ❄️ cond-mat.stat-mech astro-ph
keywords avalanchescorrelationsnoiseself-organizedalphabehaviorburstscritical
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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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