Linear kinetic waves in plasmas described by Kappa Distributions
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2017Metadata
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Viñas, A. F.
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Linear kinetic waves in plasmas described by Kappa Distributions
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Abstract
In this chapter we present an overview of the excitation, propagation, and
absorption of linear plasma waves in collisionless, spatially uniform, multicomponent,
magnetized nonMaxwellian plasma characterized by a kappa
velocity distribution based on a Vlasov kinetic description. Although traditional
plasma physics texts are replete with examples of linear waves and
instabilities in plasmas whose charged particles are modeled by the thermal
Maxwellian velocity distribution, very few works exist that bring together in
one place the analogous results for plasmas modeled by a kappa
distributionda more appropriate and versatile model for space and other
collisionless plasmas. The treatment, which uses Vlasov kinetic theory
coupled with Maxwell’s equations, covers the range from lowfrequency
waves, where ion dynamics dominates the dispersion properties of the
waves, up to frequencies in excess of the plasma frequency, where the electron
physics plays the dominant role. For reasons of tractability, the primary focus
is on waves and instabilities that propagate parallel to the ambient magnetic
field, but both electrostatic as well as electromagnetic plasma waves are
considered. The chapter begins with the fundamental concepts of nonequilibrium
statistical mechanics and electrodynamics. The established kinetic
theory of waves in a multispecies plasma with arbitrary velocity distribution is
used to introduce the general dielectric tensor, which characterizes the plasma
response to fluctuating electromagnetic fi elds. The general dielectric tensor is
then derived using a drifting bikappa distribution for the special case of
parallel propagation. Using this dielectric tensor in the Fouriertransformed
wave equation, various fundamental parallel propagating longitudinal (electrostatic)
and transverse (electromagnetic) plasma wave modes are discussed
within the context of the bikappa velocity distribution. Both analytical and
numerical results for the excitation (growth) and absorption (damping) of
plasma waves in plasmas with a kappa velocity distribution will be discussed.
Quote Item
En: Livadiotis, George. Kappa Distributions: Theory and Applications in Plasmas. Elsevier, 2017. Chapter 7Access note
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