Mean- Field Approximation and Extended Self-Similarity in Turbulence

Details Mean- Field Approximation and Extended Self-Similarity in Turbulence Mean- Field Approximation and Extended Self-Similarity in Turbulence

2001-08-17

arxiv.org/abs/nlin/0108035v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, no figures

Scientific paper

10.1103/PhysRevLett.87.234501

Recent experimental discovery of extended self-similarity (ESS) was one of the most interesting developments, enabling precise determination of the scaling exponents of fully developed turbulence. Here we show that the ESS is consistent with the Navier-Stokes equations, provided the pressure -gradient contributions are expressed in terms of velocity differences in the mean field approximation (Yakhot, Phys.Rev. E{\bf 63}, 026307, (2001)). A sufficient condition for extended self-similarity in a general dynamical system

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