On the small-scale statistics of Lagrangian turbulence

Christian Beck

doi:10.1016/s0375-9601(01)00483-2

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On the small-scale statistics of Lagrangian turbulence

Christian Beck

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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.

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Christian Beck. 2001-05-18. On the small-scale statistics of Lagrangian turbulence. https://doi.org/10.1016/s0375-9601(01)00483-2

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