Relativistic regularized kappa distributions

Abstract

The special relativistic generalization of isotropic regularized kappa distributions is derived and compared to that of the original Olbertian (or standard) kappa distributions. It is demonstrated that for the latter the kappa parameter is even stronger limited than in the non-relativistic case, while for the former all positive kappa values remain possible. After a derivation of the non-relativistic limits, the pressures of the distributions are studied as a specific case of the moments of both the relativistic standard and regularized kappa distributions.

10 pages, 7 Figures

References in corpus (5)

• The effects of a kappa-distribution in the heliosheath on the global heliosphere and ENA flux at 1 AU
• Measurement of magnetic field and relativistic electrons along a solar flare current sheet
• Fast acceleration of transrelativistic electrons in astrophysical turbulence
• Linear Dispersion Theory of Parallel Electromagnetic Modes for Regularized Kappa-Distributions
• Generalized anisotropic $\kappa$-cookbook: 2D fitting of Ulysses electron data

Cited by in corpus (5)

• Loading a relativistic kappa distribution in particle simulations
• Temperature anisotropy instabilities of solar wind electrons with regularized Kappa-halos resolved with ALPS
• A dispersion function for the regularized kappa distribution function
• Modelling gyrosynchrotron emission from coronal energetic electrons in a CME flux rope
• Electrostatic waves in astrophysical Druyvesteyn plasmas: I. Langmuir waves