2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/20684We 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, $β=\exp[u]$, of the fluctuating parameter $β$, 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.RevTeX4, 4 pages, twocolumn, no figures. Revised version, to appear in Phys. Lett. A (2003)Statistical Mechanicstext