Hybrid simulations of protons strongly accelerated by a parallel collisionless shock

Physics

Scientific paper

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Ion Motion, Magnetohydrodynamics, Particle Acceleration, Protons, Shock Waves, Charged Particles, Computerized Simulation, Energy Spectra, Plasma Turbulence

Scientific paper

Initial results are presented from one-dimensional hybrid simulations which directly address the problems of using such methods to simulate the acceleration of ions to high energy by parallel shocks. As particles are accelerated from the thermal population, they are repeatedly 'split', thereby ensuring statistically valid energy spectra covering a wide dynamic range. In order to model the complex foreshock, as expected if the simulation domain were large enough, and as seen in observations, a source of upstream turbulence is introduced. This turbulence produces an enhanced high-energy tail in the upstream particle distribution extending to over a hundred times the plasma-flow energy and a prominent shoulder downstream.

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