1/f(alpha) noise from self-organized critical models with uniform driving
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. This 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.
Davidsen
J
Institut fur Theoretische Physik und Astrophysik, Christian-Albrechts-Universitat, Olshausenstrasse 40, 24118 Kiel, Germany.
Schuster
HG