Regular acceleration of particles at the fronts of interplanetary shock waves

Computer Science – Numerical Analysis

Scientific paper

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Interplanetary Shock Waves, Particle Acceleration, Protons, Shock Fronts, Solar Terrestrial Interactions, Energy Spectra, Numerical Analysis, Time Dependence, Alfven Waves Generation

Scientific paper

The regular acceleration of solar-wind protons by interplanetary shock waves in the inner helio- sphere (r <= 1 AU) is studied. The theoretical description that is based on a quasi-linear approach includes a self-consistent allowance for the generation of Alfven waves by the accelerated particles and the assumption that a fraction of suprathermal particles are injected into the acceleration regime at the shock front. The equation for the diffusive transfer and the equation for the transfer of Alfven waves are solved numerically in the approximation of spherical symmetry. It is shown that allowance for the sphericity and adiabatic deceleration of particles in the expanding solar wind results in a considerable softening of the spectrum of the accelerated particles and in a decrease of their limiting energy. The generation of Alfven waves by the accelerated particles has no significant effect on the limiting energy of the particles, which is determined by the level of background Alfven turbulence in the solar wind. The theory is in good agreement with experimental results.

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