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

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.

arXiv comment7 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:physics/0603239

References in corpus (4)

• The moving boundary problem in the presence of a dipole magnetic field
• Self-similar analytical model of the plasma expansion in a magnetic field
• An exact solution of the moving boundary problem for the expansion of a plasma cylinder in a magnetic field
• Collisionless plasma expansion in the presence of a dipole magnetic field

Cited by in corpus (1)

• Resistive MHD model for cylindrical plasma expansion in a magnetic field