Non-Gaussian probability distribution functions from maximum-entropy-principle considerations

Fabio Sattin

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Abstract

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)]. © 2003 The American Physical Society.
Original languageEnglish
Pages (from-to)3 -
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume68
Issue number3
DOIs
Publication statusPublished - 2003
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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