From waves to avalanches: Two different mechanisms of sandpile dynamics

Time series resulting from wave decomposition show the existence of differe nt correlation patterns for avalanche dynamics. For the d=2 Bak-Tang-Wisenf eld model, long range correlations determine a modification of the wave siz e distribution under coarse graining in time, and multifractal scaling for avalanches. In the Manna model, the distribution of avalanche coincides wit h that of waves, which are uncorrelated and obey finite size scaling, a res ult expected also for the d=3 Bak-Tang-Wiesenfeld sandpile.