Diffusive Acceleration of Cosmic-Ray Particles in Quasi-Parallel Shocks
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**Session 40 -- Computational Astrophysics I**
*Display presentation, Wednesday, 1, 1994, 9:20-6:30*

## [40.10] Diffusive Acceleration of Cosmic-Ray Particles in Quasi-Parallel Shocks

*Hyesung Kang (Pusan National University, Korea), T. W.~Jones (U.~of Minnesota)*
The diffusion-convection equation has been solved numerically
in order to study the injection and acceleration of cosmic-ray particles
at quasi-parallel shocks.
Our previous numerical code has been improved to include
realistic momentum-dependent diffusion coefficient.
The particle distribution function is solved in the grid whose
size is chosen in a momentum-dependent way, so
that a fixed number of zones are contained in a diffusion length.
Injection of the suprathermal particles is approximated through the
diffusive scattering process itself, that is,
the diffusion and acceleration of the thermal particles near the
Maxwellian tail across the shock front.
We show how the acceleration process is dependent
on the details of the injection, the momentum-dependent diffusion,
and the escaping high energy particles.
The simulated particle spectrum from our calculation will be compared
with that of a Monte-Carlo simulation of the
particle acceleration at earth's bow shock by Ellison, M\"obius and
Paschmann (1990).

Support for this work at the University of Minnesota is provided through the
NSF, NASA and the University of Minnesota Supercomputer Institute.
HK is supported in part by the Korea
Research Foundation through the Brain Pool Program.

{\noindent
References:\hfil\break
Ellison, D.~C., M\"obius, E., \& Paschmann, G. 1990, Ap.~J., 352, 376.
}

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