Quenched noise and over-active sites in sandpile dynamics

Abstract

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.

4 pages, 3 figures

References in corpus (5)

• Absorbing-state phase transitions in fixed-energy sandpiles
• Multifractal scaling in the Bak-Tang-Wiesenfeld Sandpile and edge events
• Scaling of waves in the Bak-Tang-Wiesenfeld sandpile model
• On the scaling behavior of the abelian sandpile model
• Fluctuations and correlations in sandpile models

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