Nonlinear effects in fast solar flare proton acceleration by magnetohydrodynamic turbulence

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Magnetohydrodynamic Turbulence, Particle Acceleration, Solar Flares, Solar Protons, Coronal Loops, Ion Scattering, Magnetohydrodynamic Waves, Nonlinearity, Wave Interaction

Scientific paper

Proton acceleration by short-wavelength Alfven (A) waves resonant at the first harmonic of the proton gyrofrequency is reconsidered taking into account nonlinear wave-wave interactions, collisionless wave losses, and wave escape losses in the geometry of a model coronal loop. The loop is semicircular with a uniform axial magnetic field. It is shown that for the A wave levels required for acceleration in the transrelativistic regime in the June 3, 1982 flare and for acceleration in the nonrelativistic regime in the June 7, 1980 flare, the nonlinear wave interaction of scattering on ions will be important. This interaction rapidly isotropizes the A waves which divide their energy with fast magnetosonic (M) waves with a negligible change in their frequency spectrum. Because of electron Landau damping and escape losses, the M waves are confined to two narrow cones about the magnetic field and the total (A + M) wave distribution is still highly anisotropic. Although the details of the acceleration process are charged slightly, the total (A + M) wave spectrum has the same acceleration efficiency as a pure A wave spectrum. The principal new result is the identification of the M wave escape and collisionless damping losses, which can be of the same order as the loss to accelerating protons and should be included in detailed models.

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