Particle acceleration in the interplanetary medium in a one-dimensional model with a propagating plane shock front

Physics

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Interplanetary Medium, Magnetohydrodynamic Waves, Particle Acceleration, Shock Fronts, Adiabatic Flow, Diffusion Coefficient, High Energy Interactions, One Dimensional Flow, Plasma Acceleration, Spatial Distribution, Turbulence Effects, Unsteady Flow, Wave Propagation

Scientific paper

The problem of the interaction of energetic particles with an MHD shock front in a turbulent medium is solved in a one-dimensional model. Time-dependent solutions for instantaneous particle injection with an arbitrary initial spectrum and an arbitrary spatial location of the particle source are obtained which take into account acceleration and partial reflection of the energetic particles at the shock front, particle acceleration by turbulent pulsations, and adiabatic cooling due to the expansion of the interplanetary plasma. Two problems are considered in which (1) the spatial diffusion coefficients are constant in the presence of additional acceleration caused by the random velocity dispersion of turbulent pulsations ahead of and behind the shock front, and (2) the coefficients are linear functions of momentum, and additional acceleration is not taken into account. Green's functions are obtained and used to analyze the effectiveness of particle acceleration in the one-dimensional model as well as the spatial and temporal particle distributions for different values of the parameters characterizing the interplanetary medium and the shock wave.

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