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Phys. Rev. E 70, 036118 (2004) [8 pages]

Rapid self-organized criticality: Fractal evolution in extreme environments

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Julianne D. Halley1, Andrew C. Warden2, Suzanne Sadedin1, and Wentian Li3
1School of Biological Sciences, P.O. Box 18, Monash University, Melbourne, Australia 3800
2School of Chemistry, P.O. Box 18, Monash University, Melbourne, Australia 3800
3The Robert S. Boas Center for Genomics and Human Genetics, North Shore LIJ Research Institute, Manhasset, New York 11030, USA

See Also: Erratum

Received 15 October 2003; revised 3 May 2004; published 28 September 2004

We introduce the phenomenon of rapid self-organized criticality (RSOC) and show that, like some models of self-organized criticality (SOC), RSOC generates scale-invariant event distributions and 1∕f noise. Unlike SOC, however, RSOC persists despite more than an order of magnitude variation in driving rate and displays extremely thick and dynamic branching geometry. Starting with an initial set of parameter values, we perform two numerical experiments in which nonequilibrium RSOC systems are tuned towards their critical points. The approach to the critical state is tracked using average branching rates, which must equal 1 if systems are genuinely critical.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.036118
DOI:
10.1103/PhysRevE.70.036118
PACS:
89.75.Fb

See Also

Erratum: Julianne D. Halley, Andrew C. Warden, Suzanne Sadedin, and Wentian Li, Erratum: Rapid self-organized criticality: Fractal evolution in extreme environments [Phys. Rev. E 70, 036118 (2004)], Phys. Rev. E 71, 029901 (2005).