Europhys. Lett.
Volume 75, Number 3, August 2006
Page(s) 413 - 419
Section General
Published online 05 July 2006
Europhys. Lett., 75 (3), pp. 413-419 (2006)
DOI: 10.1209/epl/i2006-10137-2

Realistic time correlations in sandpiles

M. Baiesi and C. Maes

Instituut voor Theoretische Fysica, K. U. Leuven - Celestijnenlaan 200D B-3001 Leuven, Belgium

received 6 February 2006; accepted in final form 20 June 2006
published online 5 July 2006

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.

05.65.+b - Self-organized systems.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
45.70.Ht - Avalanches.

© EDP Sciences 2006