Stochastic acceleration of electrons in solar flares

Physics

Scientific paper

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Electron Acceleration, Magnetic Field Reconnection, Solar Flares, Stochastic Processes, X Ray Spectra, Bessel Functions, Continuity Equation, Plasma Frequencies, Power Spectra

Scientific paper

The generation of lower-hybrid waves by cross-field currents is applied to reconnection processes proposed for solar flares. Recent observations on fragmentation of energy release and acceleration, and on hard X-ray (HXR) spectra are taken into account to develop a model for electron acceleration by resonant stochastic interactions with lower-hybrid turbulence. The continuity of the velocity distribution is solved including collisions and escape from the turbulence region. It describes acceleration as a diffusion process in velocity space. The result indicates two regimes that are determined by the energy of the accelerating electrons which may explain the double power-law often observed in HXR spectra. The model further predicts an anticorrelation between HXR flux and spectral index in agreement with observations.

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