Ml. Chabanol et V. Hakim, ANALYSIS OF A DISSIPATIVE MODEL OF SELF-ORGANIZED CRITICALITY WITH RANDOM NEIGHBORS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(3), 1997, pp. 2343-2346
We analyze a random neighbor version of the Olami-Feder-Christensen st
ick-slip model. We find that the mean avalanche size is finite as soon
as dissipation exists in the bulk but that this size grows exponentia
lly fast when dissipation tends to zero.