Intermittency and the Slow Approach to Kolmogorov Scaling

Details Intermittency and the Slow Approach to Kolmogorov Scaling Intermittency and the Slow Approach to Kolmogorov Scaling

1996-11-07

arxiv.org/abs/chao-dyn/9611004v3

Nonlinear Sciences

Chaotic Dynamics

10 pages, 5 figures, minor changes to mirror version to appear in PRE

Scientific paper

10.1103/PhysRevE.55.7000

From a simple path integral involving a variable volatility in the velocity differences, we obtain velocity probability density functions with exponential tails, resembling those observed in fully developed turbulence. The model yields realistic scaling exponents and structure functions satisfying extended self-similarity. But there is an additional small scale dependence for quantities in the inertial range, which is linked to a slow approach to Kolmogorov (1941) scaling occurring in the large distance limit.

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