Realistic time correlations in sandpiles

Abstract

A ``sandpile'' cellular automaton achieves complex temporal correlations, like a $1/f$ spectrum, if the position where it is perturbed diffuses slowly rather than changing completely at random, showing that the spatial correlations of the driving are deeply related to the intermittent activity. Hence, recent arguments excluding the relevance of self-organized criticality in seismicity and in other contexts are inaccurate. As a toy model of single fault evolution, and despite of its simplicity, our automaton uniquely reproduces the scaling form of the broad distributions of waiting times between earthquakes.

v3: accepted for publication, shorter title, some rephrased paragraphs, new connections to seismicity (7 pages, 4 figures)

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• Dynamic correlations in the conserved Manna sandpile
• Correlated flares in models of a magnetized "canopy"
• A self-organized criticality model for ion temperature gradient (ITG) mode driven turbulence in confined plasma