Density jump as a function of magnetic field for collisionless shocks in pair plasmas: the perpendicular case
arXiv:1905.08079 · doi:10.1063/1.5099000
Abstract
In the absence of frequent binary collisions to isotropize the plasma, the fulfillment of the magnetohydrodynamic (MHD) Rankine-Hugoniot jump conditions by collisionless shocks is not trivial. In particular, the presence of an external magnetic field can allow for stable anisotropies, implying some departures from the isotropic MHD jumps. The functional dependence of such anisotropies in terms of the field is yet to be determined. By hypothesizing a kinetic history of the plasma through the shock front, we recently devised a theory of the downstream anisotropy, hence of the density jump, in terms of the field strength for a parallel shock [J. Plasma Phys. (2018), vol. 84, 905840604]. Here, we extend the analysis to the case of a perpendicular shock. We still find that the field reduces the density jump, but the effect is less pronounced than in the parallel case.
arXiv comment17 pages, 9 figures, to appear in Physics of Plasmas
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- Density jump as a function of magnetic field strength for parallel collisionless shocks with anisotropic upstream pressure
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