Ion Acoustic Wave Excitation and Ion Sheath Evolution

TLDR

The study investigates the time evolution of an ion space‑charge sheath formed at a solid electrode in plasma through simulations and experiments. The authors apply a large negative step potential to a uniform plasma and model the response with a fluid description of cold ions and hot electrons in thermal equilibrium. Simulations and experiments confirm that an ion space‑charge sheath forms rapidly and launches an ion acoustic disturbance that behaves as a rarefaction wave for planar electrodes, propagates as a wave for curved electrodes, and is suppressed by ion‑neutral collisions, with all results in agreement.

Abstract

A series of computer simulations and experiments has been performed to investigate the time evolution of an ion space-charge sheath from a solid electrode in a plasma. A large negative step potential (eΔV ≫ kTe) is applied to the boundary of a uniform plasma and the response computed. A fluid model is used for cold ions, and hot electrons in thermal equilibrium are assumed as a neutralizing background. Both the computer simulations and the experiments show the formation of an ion space-charge sheath in a few ion plasma periods and a rarefying disturbance propagating into the plasma with the ion acoustic speed. For a plane electrode this disturbance extends to the electrode, resembling a rarefaction wave as found in ordinary fluid dynamics. For cylindrical and spherical electrodes this disturbance breaks away from the sheath and propagates as an ion acoustic wave into the plasma. The addition of substantial ion-neutral collisions is found to prevent separation of the wave from the sheath. The results of the computer simulations and the experiments agree.