Constant residual electrostatic electron plasma mode in Vlasov-Ampere system

TL;DR

This paper introduces a new constant residual electrostatic mode in a modified Vlasov-Ampere system, showing that initial electric perturbations can persist without damping, unlike in traditional Vlasov-Poisson systems.

Contribution

The study reveals a novel residual mode in the Vlasov-Ampere system, highlighting a persistent electric field perturbation mechanism not present in the standard Vlasov-Poisson model.

Findings

Identification of a new residual mode in Vlasov-Ampere system

Initial electric perturbations can persist without damping

Residual mode is more resistant to damping than ballistic modes

Abstract

In a collisionless Vlasov-Poisson (V-P) electron plasma system, two types of modes for electric field perturbation exist: the exponentially Landau damped electron plasma waves and the initial-value sensitive ballistic modes. Here, the V-P system is modified slightly to a Vlasov-Ampere (V-A) system. A new constant residual mode is revealed. Mathematically, this mode comes from the Laplace transform of an initial electric field perturbation, and physically represents that an initial perturbation (e.g., external electric field perturbation) would not be damped away. Thus, this residual mode is more difficult to be damped than the ballistic mode. [Physics of Plasmas 20, 112108 (2013); doi: 10.1063/1.4831761]