Liouville mapping predictions for quasi-perpendicular collisionless shocks

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 electron dynamics through a quasi-perpendicular shock is studied with one-dimensional (1-D) full particle simulations. Assuming the conservation of the phase space density along its characteristic and following the traces of each electron in the simulation box, the actual distribution functions determined in regions of the foot, ramp and overshoot of the shock are compared with the Liouville mapped upstream distributions. The Liouville mapping is significantly improved if the particles still conserve their adiabaticity while crossing the shock. We then mapped the distribution functions for the particles obeying a given deviation of the magnetic momentum from the upstream initial value. The larger the spread of the magnetic momentum the bigger is the difference between the mapped and the actual distribution functions. The Liouville mapping procedure is often used in deriving the cross shock potential during bow shock crossings under the assumption of adiabaticity and energy conservation in the de Hoffmann-Teller frame. We compare the predictions of the cross shock potential obtained from the Liouville mapping and the computed potential in the simulation code and discuss the implication for deriving the cross shock potential from in situ measurements.

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