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Phys. Rev. E 62, 6111–6115 (2000)

1/fα noise from self-organized critical models with uniform driving

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Jörn Davidsen* and Heinz Georg Schuster
Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität, Olshausenstraße 40, 24118 Kiel, Germany

Received 21 June 2000; published in the issue dated November 2000

Using the well-known Olami-Feder-Christensen model as our paradigm, we show how to modify uniform driven self-organized critical models to generate 1/fα noise. This model can reproduce all the main features of 1/fα noise: (1) α is close to one and does not depend on the dimension of the system. (2) The 1/fα behavior is found for very low frequencies. (3) The spatial correlations do not obey a power law. That proves that spatially extended systems based on activation-deactivation processes do not have to be point-driven to produce 1/fα noise. The essential ingredient is a local memory of the activation-deactivation process.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.62.6111
DOI:
10.1103/PhysRevE.62.6111
PACS:
05.40.Ca, 05.65.+b, 05.45.Ra, 02.50.-r

*Email address: davidsen@theo-physik.uni-kiel.de