On the Statistics of Small Scale Turbulence and its Universality

1998/11/16 by Ch. Renner, B. Reisner, Renner, Ch. +7
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Statistical Mechanics and Entropy #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9811019

9 pages, 3 figures

arxiv created 1998/11/16 · openalex publication_date 1998/11/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a method how to estimate from experimental data of a turbulent velocity field the drift and the diffusion coefficient of a Fokker-Planck equation. It is shown that solutions of this Fokker-Planck equation reproduce with high accuracy the statistics of velocity increments in the inertial range. Using solutions with different initial conditions at large scales we show that they converge. This can be interpreted as a signature of the universality of small scale turbulence in the limit of large inertial ranges.

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