Stochastic acceleration of solar flare protons

Mathematics – Logic

Scientific paper

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Particle Acceleration, Solar Flares, Solar Protons, Stochastic Processes, Cyclotron Resonance, Magnetically Trapped Particles, Magnetohydrodynamic Turbulence

Scientific paper

The acceleration of solar flare protons is considered by cyclotron damping of intense Alfven wave turbulence in a magnetic trap. The energy diffusion coefficient is computed for a near-isotropic distribution of super-Alfvenic protons and a steady-state solution for the particle spectrum is found for both transit-time and diffusive losses out of the ends of the trap. The acceleration time to a characteristic energy approximately 20 Mev/nucl can be as short as 10 sec. On the basis of phenomenological arguments an omega/2 frequency dependence for the Alfven wave spectrum is inferred. The correlation time of the turbulence lies in the range .0005 less than tau/corr less than .05s.

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