On the small-scale statistics of Lagrangian turbulence

Preprint

18 May 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.physics/0105058

Abstract

We provide evidence that the small-scale statistics of the acceleration of a test particle in high-Reynolds number Lagrangian turbulence is correctly described by Tsallis statistics with entropic index q=3/2. We present theoretical arguments why Tsallis statistics can naturally arise in Lagrangian turbulence and why at the smallest scales q=3/2 is relevant. A generalized Heisenberg-Yaglom formula is derived from the nonextensive model.

Keywords

SMALL SCALE STATISTICS
LAGRANGIAN TURBULENCE
TSALLIS STATISTICS
REYNOLDS NUMBER
TURBULENCE
HEISENBERG

All Related Versions

Version 1, 2001-05-18, ArXiv
Published version: Physics Letters A, 287 (3-4), 240.

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