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

2002/04/23 by Stefano Lise, Maya Paczuski · 1 citation
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.88.228301

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

arxiv created 2002/04/23 · arxiv updated 2009/11/30

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.

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