Turbulent self-organized criticality

Details Turbulent self-organized criticality Turbulent self-organized criticality

2001-03-29

arxiv.org/abs/cond-mat/0103601v2

Physics

Condensed Matter

Statistical Mechanics

Revised version. 5 RevTex pages and 4 postscript figures

Scientific paper

10.1016/S0378-4371(02)00745-8

In the prototype sandpile model of self-organized criticality time series obtained by decomposing avalanches into waves of toppling show intermittent fluctuations. The q-th moments of wave size differences possess local multiscaling and global simple scaling regimes analogous to those holding for velocity structure functions in fluid turbulence. The correspondence involves identity of a basic scaling relation and of the form of relevant probability distributions. The sandpile provides a qualitative analog of many features of turbulent phenomena.

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