Self-consistent formation of electron $\kappa$ distribution: 1. Theory

Physics

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Interplanetary Physics: Energetic Particles (7514), Interplanetary Physics: Plasma Waves And Turbulence, Interplanetary Physics: Solar Wind Plasma, Interplanetary Physics: General Or Miscellaneous

Scientific paper

Since the early days of plasma physics research suprathermal electrons were observed to be generated during beam-plasma laboratory experiments. Energetic electrons, often modeled by $\kappa$ distributions, are also ubiquitously observed in space. Various particle acceleration mechanisms have been proposed to explain such a feature, but all previous theories rely on either qualitative analytical method or on non-self-consistent approaches. This paper discusses the self-consistent acceleration of electrons to suprathermal energies by weak turbulence processes which involve the Langmuir/ion-sound turbulence and the beam-plasma interaction. It is discussed that the spontaneous scatttering process, which is absent in the purely collisionless theory, is singularly responsible for the generation of $\kappa$ distributions. The conclusion is that purely collisionless Vlasov theory cannot produce suprathermal population.

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