Superstatistical distributions from a maximum entropy principle
Statistical Mechanics
2009-11-13 v2
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 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.
Keywords
Cite
@article{arxiv.0806.4332,
title = {Superstatistical distributions from a maximum entropy principle},
author = {Erik Van der Straeten and Christian Beck},
journal= {arXiv preprint arXiv:0806.4332},
year = {2009}
}