Time directed avalanches in invasion models

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)562-565
Number of pages4
JournalPhysical review letters
Issue number4
StatePublished - 1995
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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