Universal power-law index of energy spectrum in downstream region of quasi-parallel shocks

Physics – Plasma Physics

Scientific paper

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[7833] Space Plasma Physics / Mathematical And Numerical Techniques, [7845] Space Plasma Physics / Particle Acceleration, [7851] Space Plasma Physics / Shock Waves

Scientific paper

We have performed collisionless shock simulations using one-dimensional Hybrid particle-in-cell method to investigate the energy spectra around the quasi-parallel shocks. The system size is large enough (200,000 inertia length) to eliminate the unphysical effect caused by the upstream boundary. The obtained spectrum have the shape of power-law with exponentially falling off in higher energy as predicted previous simulations, however, the power-law indices and e-holding energy do not depend on the shock parameters of Mach number and shock angle. This independent profiles are obtained because the pitch angle distribution in the upstream region shows similar profile in each run.

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