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Comparison of the energy spectra and number fluxes from a simple flare model to observations

Abstract

In this paper, we investigate the energy spectra produced by a simple test particle X-point model of a solar flare for different configurations of the initial electromagnetic field. We find that once the reconnection electric field is larger than 1 Vm(-1) the particle distribution transits from a heated one to a partially accelerated one. As we close the separatrices of the X-point and the angle in the inflow direction widens we find that more particles are accelerated out of the thermal distribution and this power-law component extends to lower energies. When we introduce a guiding magnetic field component we find that more particles are energised, but only up to a maximum energy dictated primarily by the reconnection electric field. Despite being able to accelerate particles to observable energies and demonstrate behaviour in the energy spectra that is consistent with observations, this single X-line model can only deliver the number fluxes required for microflares.

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