Mg. Baring et al., THE INJECTION AND ACCELERATION OF PARTICLES IN OBLIQUE SHOCKS - A UNIFIED MONTE-CARLO DESCRIPTION, The Astrophysical journal, 409(1), 1993, pp. 327-332
Standard Fermi particle acceleration may, for certain shock parameters
, be enhanced in oblique shocks, in which the upstream magnetic field
makes a significant angle THETA(Bn1) to the shock normal, compared to
parallel ones (THETA(Bn1) approximately 0). However, the complexity of
oblique shocks has prevented, until now, any determination of the eff
iciency of the injection and acceleration process (apart from extremel
y limited hybrid plasma simulation results; e.g., Burgess 1989). As a
first step in producing a self-consistent model capable of simultaneou
sly describing shock structure and particle acceleration in shocks of
arbitrary obliquity, we have generalized a Monte Carlo simulation, pre
viously used for parallel shocks, to describe oblique geometries. Here
we present initial results showing how the injection and acceleration
efficiency varies with Mach number and obliquity. In this report we c
onsider only test particles (the shock remains discontinuous on the sc
ale of a particle's mean free path) drawn from the upstream thermal di
stribution and neglect cross-field diffusion. We show that, for high M
ach number parallel shocks, significant numbers of these thermal test
particles are drawn (''injected'') into the acceleration process, but
that the injection efficiency drops rapidly as THETA(Bn1) increases. F
or sonic Mach numbers above approximately 20, the fraction of energy d
ensity in superthermal particles falls from approximately 97% when THE
TA(Bn1) = 0-degrees to approximately 30% when THETA(Bn1) = 25-degrees.
At low Mach numbers (below M(s) approximately 3) the energy density i
n superthermal particles drops from approximately 87% to approximately
72% as THETA(Bn1) increases from 0-degrees to 25-degrees. These test-
particle results suggest that the acceleration efficiency may be too l
ow in oblique shocks to explain cosmic-ray production in most sources.
However, the inclusion of cross-field diffusion and shock smoothing f
rom the backpressure of accelerated particles, effects likely to occur
in astrophysical shocks, may significantly modify these predictions.