Time Directed Avalanches in Invasion Models
Journal Article
·
· Physical Review Letters; (United States)
- Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States) Department of Physics, SUNY at Stony Brook, Stony Brook, New York 11794 (United States)
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 [ital P]([ital s])[similar to][ital s][sup [minus]2] is superuniversal in this class of models. The power-law exponent [pi] for the distribution of distances between subsequent active sites is derived from the properties of backward avalanches.
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 6405753
- Journal Information:
- Physical Review Letters; (United States), Vol. 74:4; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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