Analysis of a dissipative model of self-organized criticality with random neighbors

Abstract

We analyze a random neighbor version of the OFC stick-slip model. We find that the mean avalanche size is finite as soon as dissipation exists in the bulk but that this size grows exponentially fast when dissipation tends to zero.

4 pages, TeX, 4 Postscript figures, submitted to "Physical Review E, Rapid Communications"

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