Superstatistical distributions from a maximum entropy principle

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 $\beta$ 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.

References in corpus (11)

• Superstatistics, thermodynamics, and fluctuations
• Asymptotics of superstatistics
• Defect turbulence and generalized statistical mechanics
• Intensity Thresholds and the Statistics of the Temporal Occurrence of Solar Flares
• Superpositions of Probability Distributions
• Spectral fluctuations of billiards with mixed dynamics: from time series to superstatistics
• Superstatistics in random matrix theory
• On superstatistical multiplicative-noise processes
• Superstatistics from a different perspective
• Generalised thermostatistics using hyperensembles
• Superstatistics - a quantum generalization

Cited by in corpus (1)

• Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation