Self-organized criticality and interface depinning transitions

Details Self-organized criticality and interface depinning transitions Self-organized criticality and interface depinning transitions

1999-03-23

arxiv.org/abs/cond-mat/9903346v2

Physics

Condensed Matter

Statistical Mechanics

slightly revised version, latex, 5 pages

Scientific paper

We discuss the relation between self-organized criticality and depinning transitions by mapping sandpile models to equations that describe driven interfaces in random media. This equivalence yields a continuum description and gives insight about various ways of reaching the depinning critical point: slow drive (self-organized criticality), fixed density simulations, tuning the interface velocity (extremal drive criticality), or tuning the driving force. We obtain a scaling relation for the correlation length exponent for sandpiles.

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