Non-Gaussian probability distribution functions from maximum-entropy-principle considerations.
In this work we develop the recently suggested concept of superstatistics [C. Beck and E.G.D. Cohen, Physica A 322, 267 (2003)], face the problem of devising a viable way for estimating the correct statistics for a system in the absence of sufficient knowledge of its microscopical dynamics, and suggest to solve it through the maximum-entropy principle. As an example, we deduce the probability distribution function for velocity fluctuations in turbulent fluids, which is slightly different from the form suggested by C. Beck [Phys. Rev. Lett. 87, 180601 (2001)].
Sattin
Fabio
F
Consorzio RFX, Associazione Euratom-ENEA, Corso Stati Uniti 4, 35127 Padova, Italy. fabio.sattin@igi.cnr.it