Complex scaling behavior of nonconserved self-organized critical systems

Phys Rev Lett. 2002 Dec 2;89(23):238701. doi: 10.1103/PhysRevLett.89.238701. Epub 2002 Nov 18.

Abstract

The Olami-Feder-Christensen earthquake model is often considered the prototype dissipative self-organized critical model. It is shown that the size distribution of events in this model results from a complex interplay of several different phenomena, including limited floating-point precision. Parallels between the dynamics of synchronized regions and those of a system with periodic boundary conditions are pointed out, and the asymptotic avalanche size distribution is conjectured to be dominated by avalanches of size 1, with the weight of larger avalanches converging towards zero as the system size increases.