A Vlasov-Poisson plasma with unbounded mass and velocities confined in a cylinder by a magnetic mirror

TL;DR

This paper investigates the dynamics of a plasma confined in a cylindrical magnetic mirror, extending previous models to include unbounded velocity distributions with Gaussian decay, thus broadening the understanding of plasma behavior with infinite charge.

Contribution

The authors extend prior results to describe plasma evolution with unbounded velocity support and Gaussian decay, improving the realism of plasma confinement models.

Findings

Established existence of plasma solutions with unbounded velocities

Demonstrated Gaussian decay in velocity distribution over time

Extended previous compact support results to unbounded support cases

Abstract

We study the time evolution of a single species positive plasma, confined in a cylinder and having infinite charge. We extend the result of a previous work by the same authors, for a plasma density having compact support in the velocities, to the case of a density having unbounded support and gaussian decay in the velocities.