Transient and stationary behavior of the Olami-Feder-Christensen earthquake model

Abstract

Using long-term computer simulations and mean-field like arguments, we investigate the transient time and the properties of the stationary state of the Olami-Feder-Christensen earthquake model as function of the coupling parameter $\alpha$ and the system size $N$. The most important findings are that the transient time diverges nonanalytically when $\alpha$ approaches zero, and that the avalanche-size distribution will not approach a power law with increasing system size.

arXiv comment10 pages, 8 figures

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Cited by in corpus (10)

• Power laws and Self-Organized Criticality in Theory and Nature
• Statistical Physics of Fracture, Friction and Earthquake
• Self-organization without conservation: true or just apparent scale-invariance?
• Feedback mechanisms for self-organization to the edge of a phase transition
• Record-Breaking Avalanches in Driven Threshold Systems
• Asperity characteristics of the Olami-Feder-Christensen model of earthquakes
• Network of recurrent events for the Olami-Feder-Christensen model
• Periodicity and criticality in the Olami-Feder-Christensen model of earthquakes
• Simulation study of the inhomogeneous Olami-Feder-Christensen model of earthquakes
• Field theory for the dynamics of the open $O(N)$ model