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29 March 2024
 
  » arxiv » physics/0105058

 Article overview


On the small-scale statistics of Lagrangian turbulence
Christian Beck ;
Date 18 May 2001
Subject Fluid Dynamics; Statistical Mechanics | physics.flu-dyn cond-mat.stat-mech
AbstractWe 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.
Source arXiv, physics/0105058
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