Diffuse upstream ions - A comparison between one- and two-dimensional hybrid simulations

Physics

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Energetic Particles, Ion Distribution, Particle Acceleration, Particle Diffusion, Shock Wave Profiles, Solar Wind, Two Dimensional Models, Distribution Functions, Mach Number, Spatial Distribution

Scientific paper

A comparison between hybrid simulations of a collisionless quasi-parallel shock has been done in order to investigate the influence of the spatial dimensionality on the upstream and downstream spectra of the diffuse ions. The simulations are done for a shock Mach number of M(A) = 4.6 and a magnetic field - shock normal angle of 10 deg. Within the same time period the diffuse ions reach in the 1D simulation, on average, higher energies than in the 2D simulation. This manifests itself in a considerably flatter upstream spectrum at the high energy end. At lower energies the intensity in the 2D case is an order of magnitude higher than in the 1D case. The spectral shape exhibits in the 2D case a more gradual transition from the solar wind thermal distribution to the diffuse distribution. In both simulations the particles drift about the same distance along the shock. The difference in spectra is due to a smaller motional electric field at the shock in the 2D case as compared to the 1D case.

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