Electron phase-space hole transverse instability at high magnetic field

Abstract

Analytic treatment is presented of the electrostatic instability of an initially planar electron hole in a plasma of effectively infinite particle magnetization. It is shown that there is an unstable mode consisting of a rigid shift of the hole in the trapping direction. Its low frequency is determined by the real part of the force balance between the Maxwell stress arising from the tranverse wavenumber $k$ and the kinematic jetting from the hole's acceleration. The very low growth rate arises from a delicate balance in the imaginary part of the force between the passing-particle jetting, which is destabilizing, and the resonant response of the trapped particles, which is stabilizing. Nearly universal scalings of the complex frequency and $k$ with hole depth are derived. Particle in cell simulations show that the slow-growing instabilities previously investigated as coupled hole-wave phenomena occur at the predicted frequency, but with growth rates 2 to 4 times greater than the analytic prediction. This higher rate may be caused by a reduced resonant stabilization because of numerical phase-space diffusion in the simulations.

References in corpus (1)

• Non-linear Plasma Wake Growth of Electron Holes

Cited by in corpus (6)

• Kinetic Solitary Electrostatic Structures in Collisionless Plasma: Phase-Space Holes
• Finite gyro-radius multidimensional electron hole equilibria
• Particle Trapping in Axisymmetric Electron Holes
• Oblate Electron Holes are not attributable to Anisotropic Shielding
• Overstability of Plasma Slow Electron Holes
• Multimode theory of electron hole transverse instability