Solutions of the Fokker-Planck equation for the energy distribution of suprathermal electrons

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmic Rays, Electron Acceleration, Electron Energy, Energy Distribution, Fokker-Planck Equation, Electromagnetic Fields, Energetic Particles, Energy Dissipation, Energy Spectra

Scientific paper

The Fokker-Planck equation (continuity equation in the energy space) is solved under several different assumptions, concerning the phenomena associated with acceleration of electrons. The obtained partial solutions allow for the determination of the particle energy spectra. Three different acceleration processes are worked out within the frame of a thin-geometry: the characteristic acceleration time is shorter than the collisional interaction time, so that energy losses during acceleration are negligible. The conditions for which the age-energy-approximation approaches the stationary and nonstationary solutions of the continuity equations are delineated.

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