1995/09/26 by Stefano Zapperi, Kent Baekgaard Lauritsen, H. Eugene Stanley · 2 citations
Physics and Astronomy · #cond-mat
paper · pdf · doi:10.1103/physrevlett.75.4071
published as Phys. Rev. Lett. 75, 4071-4074 (1995) · 4 pages + 4 ps figures
arxiv created 1995/09/26 · arxiv updated 2009/11/30
We discuss mean-field theories for self-organized criticality and the connection with the general theory of branching processes. We point out that the nature of the self-organization is not addressed properly by the previously proposed mean-field theories. We introduce a new mean-field model that explicitly takes the boundary conditions into account; in this way, the local dynamical rules are coupled to a global equation that drives the control parameter to its critical value. We study the model numerically, and analytically we compute the avalanche distributions.