The general dielectric tensor for bi-kappa magnetized plasmas

Abstract

In this paper we derive the dielectric tensor for a plasma containing particles described by an anisotropic superthermal (bi-kappa) velocity distribution function. The tensor components are written in terms of the two-variables kappa plasma special functions, recently defined by Gaelzer and Ziebell [Phys. Plasmas 23, 022110 (2016)]. We also obtain various new mathematical properties for these functions, which are useful for the analytical treatment, numerical implementation and evaluation of the functions and, consequently, of the dielectric tensor. The formalism developed here and in the previous paper provides a mathematical framework for the study of electromagnetic waves propagating at arbitrary angles and polarizations in a superthermal plasma.

Accepted for publication in Physics of Plasmas

References in corpus (3)

• Predicted Impacts of Proton Temperature Anisotropy on Solar Wind Turbulence
• Effect of temperature anisotropy on various modes and instabilities for a magnetized non-relativistic bi-Maxwellian plasma
• Obliquely propagating electromagnetic waves in magnetized kappa plasmas

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• Collisional charging of dust particles by suprathermal plasmas. II -- Regularized Kappa distributions
• Heat-flux Instabilities of Regularized Kappa Distributed Strahl Electrons Resolved with ALPS
• Electrostatic waves in astrophysical Druyvesteyn plasmas: I. Langmuir waves