Stochastic model of the conditional acceleration of a fluid particle in developed turbulence

The random intensity of noise approach to 1D Laval-Dubrulle-Nazarenko model is used to describe Lagrangian acceleration of a fluid particle in developed turbulence. Intensities of noises entering nonlinear Langevin equation are assumed to depend on random velocity fluctuations in an exponential way. The conditional acceleration PDF, variance, and mean are found to be in a good qualitative agreement with the recent high-Re Lagrangian experimental data.