Nonlinear dynamics of non-neutral Maxwellian plasma in external trapping field

TL;DR

This paper investigates the complex behavior of collisionless non-neutral plasma under external trapping fields by solving nonlinear Vlasov-Poisson equations and analyzing how initial conditions affect plasma dynamics.

Contribution

It provides a novel time-dependent solution to the nonlinear Vlasov-Poisson equations for non-neutral plasma in trapping fields and explores the impact of initial conditions on plasma evolution.

Findings

Derived time-dependent solutions for plasma dynamics

Showed initial conditions significantly influence plasma behavior

Analyzed nonlinear effects in collisionless plasma

Abstract

Nonlinear dynamics of collisionless non-neutral plasma in an external electrical trapping field is considered. Time-dependent solution of the nonlinear Vlasov-Poisson equations are obtained. The influence of initial conditions on the dynamics of charged layer is discussed.