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$1/f^α$ noise from self-organized critical models with uniform driving

Jörn Davidsen·Heinz Georg Schuster
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Abstract

Using the well-known Olami-Feder-Christensen model as our paradigm, we show how to modify uniform driven self-organized critical models to generate $1/f^α$ noise. Our model can reproduce all the main features of $1/f^α$ noise: (1) $α$ is close to one and does not depend on the dimension of the system. (2) The $1/f^α$ 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 $1/f^α$ noise. The essential ingredient is a local memory of the activation-deactivation process.

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BibTeXRIS

Jörn Davidsen, Heinz Georg Schuster. 2000-10-11. $1/f^α$ noise from self-organized critical models with uniform driving. https://doi.org/10.1103/physreve.62.6111

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