Single-particle velocity distributions of collisionless, steady-state plasmas must follow Superstatistics

Abstract

The correct modelling of velocity distribution functions for particles in steady-state plasmas is a central element in the study of nuclear fusion and also in the description of space plasmas. In this work, a statistical mechanical formalism for the description of collisionless plasmas in a steady state is presented, based solely on the application of the rules of probability and not relying on the concept of entropy. Beck and Cohen's superstatistical framework is recovered as a limiting case, and a "microscopic" definition of inverse temperature $\beta$ is given. Non-extensivity is not invoked a priori but enters the picture only through the analysis of correlations between parts of the system.

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Cited by in corpus (12)

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• On the possible distributions of temperature in nonequilibrium steady states
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• Fundamental temperature exclusively determines the validity of superstatistics
• Temperature fluctuations in finite systems: Application to the one-dimensional Ising chain
• Fluctuations of water quality time series in rivers follow superstatistics
• A classification of nonequilibrium steady states based on temperature correlations
• Kappa distributions in the framework of superstatistics