From waves to avalanches: two different mechanisms of sandpile dynamics

Details From waves to avalanches: two different mechanisms of sandpile dynamics From waves to avalanches: two different mechanisms of sandpile dynamics

2000-02-19

arxiv.org/abs/cond-mat/0002310v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevE.62.R4528

Time series resulting from wave decomposition show the existence of different correlation patterns for avalanche dynamics. For the d=2 Bak-Tang-Wiesenfeld model, long range correlations determine a modification of the wave size distribution under coarse graining in time, and multifractal scaling for avalanches. In the Manna model, the distribution of avalanches coincides with that of waves, which are uncorrelated and obey finite size scaling, a result expected also for the d=3 Bak et al. model.

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