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

Stefano Lise and Maya Paczuski
Phys. Rev. Lett. 88, 228301 – Published 16 May 2002
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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.

  • Received 26 February 2002

DOI:https://doi.org/10.1103/PhysRevLett.88.228301

©2002 American Physical Society

Authors & Affiliations

Stefano Lise and Maya Paczuski

  • Department of Mathematics, Huxley Building, Imperial College of Science, Technology, and Medicine, London SW7 2BZ, United Kingdom

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Issue

Vol. 88, Iss. 22 — 3 June 2002

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