Modified jump conditions for parallel collisionless shocks
Abstract
Within the context of Magnetohydrodynamics (MHD), the properties of a parallel shock do not depend on the field strength, as the field and the fluid are disconnected for such a geometry. However, in the collisionless case, the field can sustain a stable anisotropy in the downstream, triggering a departure from the expected MHD behavior. In a recent work [A. Bret and R. Narayan, J. Plasma Phys. \textbf{84}, 905840604 (2018)], a theoretical model was presented allowing to derive the density ratio of a non-relativistic parallel collisionless shock in an electron/positron plasma, as a function of the field. Here we derive the entropy, pressure and temperature jumps stemming from this model. It is found to offer a transition between a 3D and a 1D downstream for the jumps in density, entropy, parallel temperature and parallel pressure.
Cite
@article{arxiv.2107.10324,
title = {Modified jump conditions for parallel collisionless shocks},
author = {Antoine Bret},
journal= {arXiv preprint arXiv:2107.10324},
year = {2021}
}
Comments
6 pages, 4 figure. To appear in Physics of Plasmas