Quenched noise and over-active sites in sandpile dynamics

Details Quenched noise and over-active sites in sandpile dynamics Quenched noise and over-active sites in sandpile dynamics

2000-02-25

arxiv.org/abs/cond-mat/0002406v2

Europhys. Lett. 53, 569 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1209/epl/i2001-00189-8

The dynamics of sandpile models are mapped to discrete interface equations. We study in detail the Bak-Tang-Wiesenfeld model, a stochastic model with random thresholds, and the Manna model. These are, respectively, discretizations of the quenched Edwards-Wilkinson equation with columnar, point-like and correlated noise, with the constraint that the interface velocity is either zero or exactly one. The constraint, embedded in the sandpile rules, gives rise to another noise component. This term has for the Bak-Tang-Wiesenfeld model long-range on-site correlations and reveals that with open boundary conditions there is no spatial translational invariance.

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