HR: 1340h
AN: SH43A-1084 [Abstracts]
TI: A Physically Motivated Stochastic-Integration Method for
Energetic Particles at Shocks and Other Discontinuities
AU: * Bobik, P
EM: bobik@lpl.arizona.edu
AF: University of Arizona, Lunar and Planetary laboratory, Tucson, AZ 85721
United States
AU: Jokipii, J R
EM: jokipii@lpl.arizona.edu
AF: University of Arizona, Lunar and Planetary laboratory, Tucson, AZ 85721
United States
AU: Kota, J
EM: kota@lpl.arizona.edu
AF: University of Arizona, Lunar and Planetary laboratory, Tucson, AZ 85721
United States
AU: Giacalone, J
EM: giacalon@lpl.arizona.edu
AF: University of Arizona, Lunar and Planetary laboratory, Tucson, AZ 85721
United States
AB:
Stochastic integration is a well-known method for solving
diffusion problems. We present a physically motivated algorithm
for solving Parker's diffusion-convection transport equation for
energetic charged particles in
the presence of arbitrarily thin discontinuities such as shocks and current
sheets. We consider as a specific
example of a plane, steady collisionless shock such as
the solar-wind termination shock. We follow pseudo-particles injected
at the termination shock with a monoenergetic spectrum. The
random motion of the particles are determined from
the diffusion coefficient,
with a specified energy change when the particle crosses the
shock. The resulting solution agrees well with the corresponding
analytic solution.
We will also discuss the application of these ideas to the
singular drift motions at a shock and at the interplanetary
current sheet.
DE: 2104 Cosmic rays
DE: 2114 Energetic particles, heliospheric (7514)
SC: SPA-Solar and Heliospheric Physics [SH]
MN: 2004 AGU Fall Meeting