Non-Gaussian PDFs from Maximum-Entropy-principle considerations

Details Non-Gaussian PDFs from Maximum-Entropy-principle considerations Non-Gaussian PDFs from Maximum-Entropy-principle considerations

2002-12-04

arxiv.org/abs/cond-mat/0212077v2

Physical Rev E 68 (2003), 032102

Physics

Condensed Matter

Statistical Mechanics

v2: final accepted version: one statement corrected, other minor changes. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.68.032102

In this work we develop on the recently suggested concept of superstatistics [C. Beck and E.G.D. Cohen, Physica A {\bf 322}, 267 (2003)], face the problem of devising a viable way for estimating the correct statistics for a system in 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 in [C. Beck, Phys. Rev. Lett. {\bf 87}, 180601 (2001)].

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