# Kinetic Theoretical Foundation of Lorentzian Statistical Mechanics

@article{Treumann1999KineticTF,
title={Kinetic Theoretical Foundation of Lorentzian Statistical Mechanics},
author={Rudolf A. Treumann},
journal={Physica Scripta},
year={1999},
volume={59},
pages={19-26}
}
A new kinetic theory Boltzmann-like collision term including correlations is proposed. In equilibrium it yields the one-particle distribution function in the form of a generalised-Lorentzian resembling but not being identical with the so-called κ distribution frequently found in collisionless turbulent systems like space plasmas. We show that this distribution function satisfies a generalised H-theorem, yields an expression for the entropy that is concave. Thus, the distribution is a "true…

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