Realistic time correlations in sandpiles

Details Realistic time correlations in sandpiles Realistic time correlations in sandpiles

2005-05-11

arxiv.org/abs/cond-mat/0505274v3

Europhys.Lett. 75 (2006) 413-419

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1209/epl/i2006-10137-2

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.

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