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

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

2000-10-11

arxiv.org/abs/cond-mat/0010158v1

Phys. Rev. E 62, 6111 (2000)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.62.6111

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

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