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Self-organized criticality and interface depinning transitions

K. B. Lauritsen·M. J. Alava
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Abstract

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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K. B. Lauritsen, M. J. Alava. 2000-02-14. Self-organized criticality and interface depinning transitions. https://arxiv.org/abs/cond-mat/9903346

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