17 Mar 2023
 | 17 Mar 2023
Status: this preprint is currently under review for the journal NPG.

Electron Holes in a Regularized Kappa Background

Fernando Haas, Horst Fichtner, and Klaus Scherer

Abstract. The pseudopotential method is used to derive electron hole structures in a suprathermal plasma having a regularized κ probability distribution function background. The regularized character allows the exploration of small κ values beyond the standard suprathermal case, for which κ > 3/2 is a necessary condition. We have found the nonlinear dispersion relation yielding the amplitude of the electrostatic potential in terms of the remaining parameters, in particular the drift velocity, the wavenumber and the spectral index. Periodic, solitary wave, drifting and non-drifting solutions have been identified. In the linear limit, the dispersion relation yields generalized Langmuir and electron acoustic plasma modes. Standard electron hole structures are regained in the κ ≫ 1 limit.

Fernando Haas et al.

Status: open (until 12 May 2023)

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Fernando Haas et al.

Fernando Haas et al.


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Short summary
Electron holes have been reported in space plasmas along with suprathermal plasmas far of Maxwellian equilibrium. In particular electron distributions with elongated suprathermal distributions (kappa distributions) are of current interest for space plasmas. This work consider the regularized kappa distributions, which are well beyond the Maxwellian equilibrium and showing a harder suprathermal electron population.