Articles | Volume 34, issue 6
https://doi.org/10.5194/angeo-34-557-2016
https://doi.org/10.5194/angeo-34-557-2016
Regular paper
 | 
02 Jun 2016
Regular paper |  | 02 Jun 2016

Generalised partition functions: inferences on phase space distributions

Rudolf A. Treumann and Wolfgang Baumjohann

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It is demonstrated that the statistical mechanical partition function can be used to construct various different forms of phase space distributions. This indicates that its structure is not restricted to the Gibbs–Boltzmann factor prescription based on counting statistics. Consequences concerning generalised Lorentzians and more general distribution functions are discussed.