Volume 120, Number 5, December 2017
|Number of page(s)||6|
|Published online||23 February 2018|
Regularized κ-distributions with non-diverging moments
1 Institut für Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, Ruhr-Universität Bochum D-44780 Bochum, Germany
2 Research Department, Plasmas with Complex Interactions, Ruhr-Universität Bochum - 44780 Bochum, Germany
3 Centre for Mathematical Plasma Astrophysics, KU Leuven - Celestijnenlaan 200B, B-3001 Leuven Belgium
Received: 18 December 2017
Accepted: 31 January 2018
For various plasma applications the so-called (non-relativistic) κ-distribution is widely used to reproduce and interpret the suprathermal particle populations exhibiting a power-law distribution in velocity or energy. Despite its reputation the standard κ-distribution as a concept is still disputable, mainly due to the velocity moments Ml which make a macroscopic characterization possible, but whose existence is restricted only to low orders . In fact, the definition of the κ-distribution itself is conditioned by the existence of the moment of order l = 2 (i.e., kinetic temperature) satisfied only for . In order to resolve these critical limitations we introduce the regularized κ-distribution with non-diverging moments. For the evaluation of all velocity moments a general analytical expression is provided enabling a significant step towards a macroscopic (fluid-like) description of space plasmas, and, in general, any system of κ-distributed particles.
PACS: 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems (restricted to new topics in section 05) / 52.25.Kn – Thermodynamics of plasmas / 96.50.Ci – Solar wind plasma; sources of solar wind
© EPLA, 2018
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