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Phys. Rev. A 38, 364–374 (1988)

Self-organized criticality

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Per Bak, Chao Tang, and Kurt Wiesenfeld
Department of Physics, Brookhaven National Laboratory, Upton, New York 11973

Received 28 August 1987; published in the issue dated July 1988

We show that certain extended dissipative dynamical systems naturally evolve into a critical state, with no characteristic time or length scales. The temporal ‘‘fingerprint’’ of the self-organized critical state is the presence of flicker noise or 1/f noise; its spatial signature is the emergence of scale-invariant (fractal) structure.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.38.364
DOI:
10.1103/PhysRevA.38.364
PACS:
05.40.+j, 02.90.+p