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

TL;DR

This paper presents an exact analytic solution for the relativistic plasma expansion in a dipole magnetic field, analyzing energy transformation and emission, with implications for astrophysical and laboratory phenomena.

Contribution

It provides the first exact solution for a uniformly expanding plasma sphere in an arbitrary dipole magnetic field orientation.

Findings

Solution applies to arbitrary dipole orientations

Energy emission and transformation analyzed

Results relevant for astrophysical and laboratory plasmas

Abstract

An exact analytic solution is obtained for a uniformly expanding, neutral, highly conducting plasma sphere in an ambient dipole magnetic field with an arbitrary orientation of the dipole moment in the space. Based on this solution the electrodynamical aspects related to the emission and transformation of energy have been considered. In order to highlight the effect of the orientation of the dipole moment in the space we compare our results obtained for parallel orientation with those for transversal orientation. The results obtained can be used to treat qualitatively experimental and simulation data, and several phenomena of astrophysical and laboratory significance.