$1/f^{\alpha }$ noise from self-organized critical models with uniform driving

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 $1/f^{\alpha }$ 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.

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

References in corpus (4)

• Universal 1/f Noise from Dissipative SOC Models
• Modeling 1/f noise
• 1/f Noise and Long Configuration Memory in Bak-Tang-Wiesenfeld Models on Narrow Stripes
• $1/f^{\alpha }$ fluctuations in a ricepile model

Cited by in corpus (9)

• Point process model of 1/f noise versus a sum of Lorentzians
• Simple model for 1/f noise
• Modeling scaled processes and 1/f^b noise by the nonlinear stochastic differential equations
• Possibility between earthquake and explosion seismogram differentiation by discrete stochastic non-Markov processes and local Hurst exponent analysis
• Network of recurrent events for the Olami-Feder-Christensen model
• $1/\phi$ Spectrum of the Stress Dynamics with the Bak-Tang-Wiesenfeld Sandpile
• Demagnetization via Nucleation of the Nonequilibrium Metastable Phase in a Model of Disorder
• Flashing annihilation term of a logistic kinetic as a mechanism leading to Pareto distributions
• Fillips in Sandpiles; Spanning Avalanches, Bifurcation and Temporal oscillations