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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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

Scientific paper

10.1103/PhysRevE.56.R2343

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.

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