On the small-scale statistics of Lagrangian turbulence

Authors
Citation
C. Beck, On the small-scale statistics of Lagrangian turbulence, PHYS LETT A, 287(3-4), 2001, pp. 240-244
Citations number
19
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
0375-9601 → ACNP
Volume
287
Issue
3-4
Year of publication
2001
Pages
240 - 244
Database
ISI
SICI code
0375-9601(20010827)287:3-4<240:OTSSOL>2.0.ZU;2-Q
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 th eoretical arguments why Tsallis statistics can naturally arise in Lagrangia n turbulence and why at the smallest scales q = 3/2 is relevant. A generali zed Heisenberg-Yaglom formula is derived from the nonextensive model. (C) 2 001 Elsevier Science B.V. All rights reserved.