Phys. Rev. E 66, 050101(R) (2002) [4 pages]1/fα noise from correlations between avalanches in self-organized criticality
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/fα 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, where a scaling relation links α with the avalanche power-law exponent. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.66.050101
DOI:
10.1103/PhysRevE.66.050101
PACS:
05.40.-a, 05.65.+b, 89.75.Da
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