The Effects of Transverse Magnetic Field and Density Variations on the Particle Energy Spectra in a Reconnecting 3D Current Sheet

Physics

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Sun: Flares, Sun: Acceleration, Sun: Electric Field, Particle Motion: Trajectory, Gyration, Drifts, Energy Spectra

Scientific paper

Electron and proton acceleration by a super-Dreicer electric field is further investigated in a non-neutral reconnecting current sheet (RCS) with a variable plasma density. The tangential B z and transverse magnetic field components B x are assumed to vary with the distances x and z from the X nullpoint linearly and exponentially, respectively; the longitudinal component (a ‘guiding field’) is accepted constant. Particles are found to gain a bulk of their energy in a thin region close to the X nullpoint where the RCS density increases with z exponentially with the index λ and the tangential magnetic field B x also increases with z exponentially with the index α. For the RCS with a constant density (λ = 0), the variations of the tangential magnetic field lead to particle power-law energy spectra with the spectral indices γ1 being dependent on the exponent α as: γ_1 = 1 + 1/2α for protons and γ_1 = 1+ 1/α for electrons in a strong guiding field (β > 10-2) and γ_1 =frac {1} 2 (1 +1/α) for electrons in a moderate or weak guiding field (β > 10-4). For the RCS with an exponential density increase in the vicinity of the X nullpoint (λ≥ 0) there is a further increase of the resulting spectral indices γ that depends on the density exponent index λ as γ = γ_1 +λ/2α for protons and for electrons in weaker guiding fields and as γ = γ_1 + λ/α for electrons in stronger guiding fields. These dependencies can explain a wide variety (1.5 10) of particle spectral indices observed in solar flares by the variations of a magnetic field topology and physical conditions in a reconnecting region. This can be used as a diagnostic tool for the investigation of the RCS dynamics from the accelerated particle spectra found from hard X-ray and microwave emission.

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