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On the applicability of κ-distributions

2019/07/05 by Klaus Scherer, Horst Fichtner, Hans-Jörg Fahr +1 · 1 citation
Physics and Astronomy · #astro-ph.HE #astro-ph.SR #physics.plasm-ph #physics.space-ph

paper · pdf · doi:10.3847/1538-4357/ab2df9

8 pages, 4 Figures

arxiv created 2019/07/05 · arxiv updated 2019/09/04

Abstract

The standard (non-relativistic) κ-distribution is widely used to fit data and to describe macroscopic thermodynamical behavior, e.g. the pressure (temperature) as the second moment of the distribution function. By contrast to a Maxwellian distribution, for small relevant values κ< 2 there exists a significant, but unphysical contribution to the pressure from unrealistic, superluminal particles with speeds exceeding the speed of light. Similar concerns exist for the entropy. We demonstrate here that by using the recently introduced regularized κ-distribution one can avoid such unphysical behaviour.

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