Stochastic particle acceleration in flaring stars

Physics

Scientific paper

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Electron Energy, Energy Spectra, Flare Stars, Particle Acceleration, Plasmas (Physics), Steady State, Stochastic Processes, Celestial Bodies, Confinement, Electron Acceleration, Magnetic Fields, Plasma Control, Stellar Flares, Synchrotrons

Scientific paper

The acceleration of electrons by the Fermi-Parker mechanisms in a quasistationary turbulent plasma of dimension l, mean magnetic field strength B, and mean number density n are considered. The electrons suffer radiative and ionization losses and have a scattering mean free path that increases linearly with their momentum. Analytic solutions for the steady-state electron energy spectra are presented. The spectra are characterized by an exponential cutoff above a given momentum determined by the synchrontron or the confinement time, depending on the physical characteristics of the accelerating region.

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