An exact solution of the moving boundary problem for the expansion of a plasma cylinder in a magnetic field

TL;DR

This paper presents an exact analytic solution for the expansion of a plasma cylinder in a magnetic field, addressing electrodynamical energy transformations and applicable to experimental and simulation data analysis.

Contribution

It provides a novel exact solution for a plasma expansion problem, enhancing understanding of plasma-magnetic field interactions.

Findings

Exact solution for plasma expansion derived

Energy emission and transformation analyzed

Applicable to experimental and simulation data

Abstract

An exact analytic solution has been obtained for a uniformly expanding, neutral, infinitely conducting plasma cylinder in an external uniform and constant magnetic field. The electrodynamical aspects related to the emission and transformation of energy have been considered as well. The results obtained can be used in analysing the recent experimental and simulation data.