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.

arXiv comment6 pages, 4 figure. To appear in Physics of Plasmas

References in corpus (4)

• Electron Heating in Low Mach Number Perpendicular shocks. I. Heating Mechanism
• Electron Heating in Low Mach Number Perpendicular shocks. II. Dependence on the Pre-Shock Conditions
• Density jump as a function of magnetic field strength for parallel collisionless shocks in pair plasmas
• Kinetic inhibition of MHD-shocks in the vicinity of a parallel magnetic field

Cited by in corpus (4)

• Density jump as a function of magnetic field strength for parallel collisionless shocks with anisotropic upstream pressure
• Density jump as a function of magnetic field strength for perpendicular collisionless shocks with anisotropic upstream pressure
• Parallel Collisionless Shocks in strongly Magnetized Electron-Ion Plasma. I. Temperature anisotropies
• Kinetic Simulations of Strongly-Magnetized Parallel Shocks: Deviations from MHD Jump Conditions