Superstatistical distributions from a maximum entropy principle

Details Superstatistical distributions from a maximum entropy principle Superstatistical distributions from a maximum entropy principle

2008-06-26

arxiv.org/abs/0806.4332v2

Phys. Rev. E 78, 051101 (2008)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.78.051101

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 $\beta$ 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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