Abstract
We define forward and backward time-directed avalanches for a broad class of self-organized critical models including invasion percolation, interface depinning, and a simple model of evolution. Although the geometrical properties of the avalanches do not change under time reversal, their stationary state statistical distribution does. The overall distribution of forward avalanches is superuniversal in this class of models. The power-law exponent for the distribution of distances between subsequent active sites is derived from the properties of backward avalanches.
- Received 14 July 1994
DOI:https://doi.org/10.1103/PhysRevLett.74.562
©1995 American Physical Society