A Nonconservative Earthquake Model of Self-Organized Criticality on a Random Graph

Abstract

We numerically investigate the Olami-Feder-Christensen model on a quenched random graph. Contrary to the case of annealed random neighbors, we find that the quenched model exhibits self-organized criticality deep within the nonconservative regime. The probability distribution for avalanche size obeys finite size scaling, with universal critical exponents. In addition, a power law relation between the size and the duration of an avalanche exists. We propose that this may represent the correct mean-field limit of the model rather than the annealed random neighbor version.

4 pages, 3 figures, accepted for publication in Phys. Rev. Lett

References in corpus (1)

• Scaling in a Nonconservative Earthquake Model of Self-Organised Criticality

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