Super-diffusion profile of energetic particles in upstream 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, [7867] Space Plasma Physics / Wave/Particle Interactions

Scientific paper

We have performed collisionless shock simulations using one-dimensional Hybrid particle-in-cell method to investigate the spatial profile of energetic ions in the upstream of quasi-parallel shocks. The system size is large enough (320,000 inertia length) to eliminate the unphysical effect caused by the upstream boundary. The obtained profile has the shape of power-law which predicted that the particle motion is not described by the Gaussian diffusion but super-diffusion. Indeed, the particle trajectories in the upstream region are not described by Brownian motion but Levy flight motion. Moreover, the intensity of the upstream turbulence of the magnetic field is as large as the background intensity. This means that we need to investigate the wave-particle interaction in the upstream region beyond the linear or quasi-linear models

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