NEW PROMISE FOR ELECTRON BULK ENERGIZATION IN SOLAR-FLARES - PREFERENTIAL FERMI ACCELERATION OF ELECTRONS OVER PROTONS IN RECONNECTION-DRIVEN MAGNETOHYDRODYNAMIC TURBULENCE
Tn. Larosa et al., NEW PROMISE FOR ELECTRON BULK ENERGIZATION IN SOLAR-FLARES - PREFERENTIAL FERMI ACCELERATION OF ELECTRONS OVER PROTONS IN RECONNECTION-DRIVEN MAGNETOHYDRODYNAMIC TURBULENCE, The Astrophysical journal, 467(1), 1996, pp. 454-464
The hard X-ray luminosity of impulsive solar flares indicates that ele
ctrons in the low corona are bulk energized to energies of order 25 ke
V. LaRosa & Moore pointed out that the required bulk energization coul
d be produced by cascading MHD turbulence generated by Alfvenic outflo
ws from sites of strongly driven reconnection. LaRosa, Moore, gr Shore
proposed that the compressive component of the cascading turbulence d
issipates into the electrons via Fermi acceleration. However, for this
to be a viable electron bulk energization mechanism, the rate of prot
on energization by the same turbulence cannot exceed the electron ener
gization rate. In this paper we estimate the relative efficiency of el
ectron and proton Fermi acceleration in the compressive MHD turbulence
expected in the reconnection outflows in impulsive solar flares. We f
ind that the protons pose no threat to the electron energization. Part
icles extract energy from the MHD turbulence by mirroring on magnetic
compressions moving along the magnetic held at the Alfven speed. The m
irroring rate, and hence the energization rate, is a sensitive functio
n of the particle velocity distribution. In particular, there is a low
er speed limit V-min approximate to V-A, below which the pitch-angle d
istribution of the particles is so highly collapsed to the magnetic fi
eld in the frame of the magnetic compressions that there is no mirrori
ng and hence no Fermi acceleration. For coronal conditions, the proton
thermal speed is much less than the Alfven speed and proton Fermi acc
eleration is negligible. In contrast, nearly all of the electrons are
super-Alfvenic, so their pitch-angle distribution is nearly isotropic
in the frame of the magnetic compressions. Consequently, the electrons
are so vigorously mirrored that they are Fermi accelerated to hard X-
ray energies in a few tenths of a second by the magnetic compressions
on scales of 10(5)-10(3) cm in the cascading MHD turbulence. We conclu
de that dissipation of reconnection-generated MHD turbulence by electr
on Fermi acceleration plausibly accounts for the electron bulk energiz
ation in solar flares.