The complex scaling behavior of non--conserved self--organized critical systems

Abstract

The Olami--Feder--Christensen earthquake model is often considered the prototype dissipative self--organized critical model. It is shown that the size distribution of events in this model results from a complex interplay of several different phenomena, including limited floating--point precision. Parallels between the dynamics of synchronized regions and those of a system with periodic boundary conditions are pointed out, and the asymptotic avalanche size distribution is conjectured to be dominated by avalanches of size one, with the weight of larger avalanches converging towards zero as the system size increases.

4 pages revtex4, 5 figures

References in corpus (2)

• Scaling in a Nonconservative Earthquake Model of Self-Organised Criticality
• Self-organisation to criticality in a system without conservation law

Cited by in corpus (9)

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• The Network of Epicenters of the Olami-Feder-Christensen Model of Earthquakes
• Network of recurrent events for the Olami-Feder-Christensen model
• Self-organized critical earthquake model with moving boundary
• A General Strategy for Physics-Based Model Validation Illustrated with Earthquake Phenomenology, Atmospheric Radiative Transfer, and Computational Fluid Dynamics
• The Olami-Feder-Christensen earthquake model in one dimension