To what extent can dynamical models describe statistical features of turbulent flows?

Abstract

Statistical features of "bursty" behaviour in charged and neutral fluid turbulence, are compared to statistics of intermittent events in a GOY shell model, and avalanches in different models of Self Organized Criticality (SOC). It is found that inter-burst times show a power law distribution for turbulent samples and for the shell model, a property which is shared only in a particular case of the running sandpile model. The breakdown of self-similarity generated by isolated events observed in the turbulent samples, is well reproduced by the shell model, while it is absent in all SOC models considered. On this base, we conclude that SOC models are not adequate to mimic fluid turbulence, while the GOY shell model constitutes a better candidate to describe the gross features of turbulence.

14 pages, 4 figures, in press on Europhys. Lett. (may 2002)

Cited by in corpus (11)

• Power laws and Self-Organized Criticality in Theory and Nature
• Inter-occurrence Times in the Bak-Tang-Wiesenfeld Sandpile Model: A Comparison with the Turbulent Statistics of Solar Flares
• Coexistence of Self-Organized Criticality and Intermittent Turbulence in the Solar Corona
• Self-Organized Criticality and Stock Market Dynamics: an Empirical Study
• A Self-Organized-Criticality model consistent with statistical properties of edge turbulence in a fusion plasma
• Scale-free avalanche dynamics in the stock market
• The Poissonian Origin of Power Laws in Solar Flare Waiting Time Distributions
• Nanoflare Diagnostics from Magnetohydrodynamic Heating Profiles
• Skewed distributions as limits of a formal evolutionary process
• A self-organized criticality model for ion temperature gradient (ITG) mode driven turbulence in confined plasma
• Transformation of solar wind energy and helicity spectra in the frame of magnetohydrodynamics shell modeling