A Physically Motivated Stochastic-Integration Method for Energetic Particles at Shocks and Other Discontinuities

Physics

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2104 Cosmic Rays, 2114 Energetic Particles, Heliospheric (7514)

Scientific paper

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.

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