title: 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.
authors.affiliation: Department of Mathematics, Huxley Building, Imperial College of Science, Technology, and Medicine, London SW7 2BZ, United Kingdom.
authors.forename: Stefano
authors.initials: S
authors.lastname: Lise
authors.forename: Maya
authors.initials: M
authors.lastname: Paczuski