2002/10/11 by T. Arimitsu, Toshihico Arimitsu, Arimitsu, T. +3
Economics, Econometrics and Finance · Environmental Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Hydrology and Drought Analysis #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0210274
19 pages, 5
openalex publication_date 2002/10/11 · arxiv created 2003/04/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The probability density function (PDF) of accelerations in turbulence is derived analytically with the help of the multifractal analysis based on generalized entropy, i.e., the Tsallis or the Rényi entropy. It is shown that the derived PDF explains quite well the one obtained by Bodenschatz et al. in the measurement of fluid particle accelerations in the Lagrangian frame at Rλ= 690, and the one by Gotoh et al. in the DNS with the mesh size 10243 at Rλ= 380.