Moments of the anisotropic regularized $\kappa$-distributions

Abstract

For collisionless (or collision-poor) plasma populations which are well described by the $\kappa$-distribution functions (also known as the Kappa or Lorentzian power-laws) a macroscopic interpretation has remained largely questionable, especially because of the diverging moments of these distributions. Recently significant progress has been made by introducing a generic regularization for the isotropic $\kappa$-distribution, which resolves this critical limitation. Regularization is here applied to the anisotropic forms of $\kappa$-distributions, commonly used to describe temperature anisotropies, and skewed or drifting distributions of beam-plasma systems. These regularized distributions admit non-diverging moments which are provided for all positive $\kappa$, opening promising perspectives for a macroscopic (fluid-like) characterization of non-ideal plasmas.

24 pages, 3 Figures

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• Generalized anisotropic $\kappa$-cookbook: 2D fitting of Ulysses electron data
• Relativistic regularized kappa distributions
• Temperature anisotropy instabilities of solar wind electrons with regularized Kappa-halos resolved with ALPS
• A dispersion function for the regularized kappa distribution function
• Heat-flux Instabilities of Regularized Kappa Distributed Strahl Electrons Resolved with ALPS
• Revisiting the Ulysses electron data with a triple fit of velocity distributions