Electron Dynamics through High Mach Number Quasi-Perpendicular Collisionless Shocks as Obtained in Full Particle Simulations

Physics – Plasma Physics

Scientific paper

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[2154] Interplanetary Physics / Planetary Bow Shocks, [2753] Magnetospheric Physics / Numerical Modeling, [7829] Space Plasma Physics / Kinetic Waves And Instabilities, [7851] Space Plasma Physics / Shock Waves

Scientific paper

The Liouville mapping technique was applied in order to determine the evolution of the electron distribution function through high Mach number quasi-perpendicular shocks. The method is based on following a given collection of particles from the far upstream region to the foot, ramp, and overshoot of the shock. For this purpose, a one-dimensional particle in cell code was modified in order to keep track of the orbit of a large number of selected particles during the simulation run. Assuming that the distribution is constant along a particle trajectory we then map the upstream distribution to any point in the foot, ramp or downstream of the shock (exact Liouville mapping). These distributions are compared with the actual distribution obtained at a certain position relative the shock during the simulation. Furthermore, we have applied a second Liouville mapping procedure assuming that particle trajectories can be derived from the assumption of adiabaticity and energy conservation in the de Hoffmann-Teller frame (adibatic Liouville mapping). This method is often used in order to derive the cross shock potential from the observed evolution of the electron distribution function during bow shock crossings. We compare the prediction of the exact Liouville mapping, of the adiabatic Liouville mapping and the actual local distribution function and discuss the implication for deriving the cross shock potential from in situ electron measurements.

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