On the small-scale statistics of Lagrangian turbulence
arXiv:physics/0105058 · doi:10.1016/S0375-9601(01)00483-2
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.
8 pages, 1 figure
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