Multifractal PDF analysis for intermittent systems

Details Multifractal PDF analysis for intermittent systems Multifractal PDF analysis for intermittent systems

2005-09-30

arxiv.org/abs/cond-mat/0509809v2

Physics

Condensed Matter

Statistical Mechanics

10 pages, 5 figures

Scientific paper

10.1016/j.physa.2006.01.004

The formula for probability density functions (PDFs) has been extended to include PDF for energy dissipation rates in addition to other PDFs such as for velocity fluctuations, velocity derivatives, fluid particle accelerations, energy transfer rates, etc, and it is shown that the formula actually explains various PDFs extracted from direct numerical simulations and experiments performed in a wind tunnel. It is also shown that the formula with appropriate zooming increment corresponding to experimental situation gives a new route to obtain the scaling exponents of velocity structure function, including intermittency exponent, out of PDFs of velocity fluctuations.

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