Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-01-14
Phys. Lett. A 313 (2003) 284-290.
Physics
Condensed Matter
Statistical Mechanics
RevTeX4, 4 pages, twocolumn, no figures. Revised version, to appear in Phys. Lett. A (2003)
Scientific paper
10.1016/S0375-9601(03)00766-7
We describe a formal procedure to obtain and specify the general form of a marginal distribution for the Lagrangian acceleration of fluid particle in developed turbulent flow using Langevin type equation and the assumption that velocity fluctuation $u$ follows a normal distribution with zero mean, in accord to the Heisenberg-Yaglom picture. For a particular representation, $\beta=\exp[u]$, of the fluctuating parameter $\beta$, we reproduce the underlying log-normal distribution and the associated marginal distribution, which was found to be in a very good agreement with the new experimental data by Crawford, Mordant, and Bodenschatz on the acceleration statistics. We discuss on arising possibilities to make refinements of the log-normal model.
Aringazin A. K.
Mazhitov M. I.
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