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 P(s)s-2 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.
Original language | English (US) |
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Pages (from-to) | 562-565 |
Number of pages | 4 |
Journal | Physical review letters |
Volume | 74 |
Issue number | 4 |
DOIs | |
State | Published - 1995 |
Externally published | Yes |
ASJC Scopus subject areas
- General Physics and Astronomy