  We show that the probability densities af accelerations of Lagrangian test
particles in turbulent flows as measured by Bodenschatz et al. [Nature 409,
1017 (2001)] are in excellent agreement with the predictions of a stochastic
model introduced in [C. Beck, PRL 87, 180601 (2001)] if the fluctuating
friction parameter is assumed to be log-normally distributed. In a generalized
statistical mechanics setting, this corresponds to a superstatistics of
log-normal type. We analytically evaluate all hyperflatnes factors for this
model and obtain a flatness prediction in good agreement with the experimental
data. There is also good agreement with DNS data of Gotoh et al. We relate the
model to a generalized Sawford model with fluctuating parameters, and discuss a
possible universality of the small-scale statistics.
