Ye. Litvinenko, PARTICLE ACCELERATION IN RECONNECTING CURRENT SHEETS WITH A NONZERO MAGNETIC-FIELD, The Astrophysical journal, 462(2), 1996, pp. 997-1004
Motion of charged particles in a reconnecting current sheet (RCS) is c
onsidered, taking into account not only the electric field inside it b
ut also all three components of the magnetic held. A new solution for
the particle trajectory is found for the case of a large longitudinal
magnetic field. It allows one to find the ''critical'' value of the he
ld, beyond which the particle motion in the sheet becomes adiabatic. T
he longitudinal component in RCSs in the solar atmosphere is likely to
exceed this value (typically 0.1 of the main reconnecting field for e
lectrons). The longitudinal field tends to counteract the effect of th
e transverse magnetic field that serves to rapidly eject the particles
out of the sheet. Hence, a longitudinal component on the order of the
reconnecting component is necessary to explain the electron accelerat
ion in RCSs up to 10-100 keV during the impulsive phase of solar flare
s. The electron acceleration length turns out to be 5 orders of magnit
ude smaller than the RCS length, placing strong requirements on the el
ectric field necessary to accelerate the particles. This indicates tha
t it is necessary to modify the simplistic runaway acceleration models
, which ignore the magnetic field altogether. Depending upon the magne
tic field structure in the RCS, the energy can reside mainly in electr
ons or protons. Thus, the model gives a unified description for differ
ent regimes of particle acceleration in flares.