Superstatistical distributions from a maximum entropy principle

Erik Van der Straeten; Christian Beck

doi:10.1103/physreve.78.051101

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arXiv · 0806.4332

Superstatistical distributions from a maximum entropy principle

Erik Van der Straeten·Christian Beck

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Abstract

We deal with a generalized statistical description of nonequilibrium complex systems based on least biased distributions given some prior information. A maximum entropy principle is introduced that allows for the determination of the distribution of the fluctuating intensive parameter $β$ of a superstatistical system, given certain constraints on the complex system under consideration. We apply the theory to three examples: The superstatistical quantum mechanical harmonic oscillator, the superstatistical classical ideal gas, and velocity time series as measured in a turbulent Taylor-Couette flow.

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Erik Van der Straeten, Christian Beck. 2008-11-06. Superstatistical distributions from a maximum entropy principle. https://doi.org/10.1103/physreve.78.051101

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