A Comparison of the Solution of Pitch Angle Transport Equation with the Simulation: The Case of a Long Scattering Mean Free Path.

Abstract

For the case of a long scattering mean free path, the solution of pitch angle transport equation using the method of KOTA et al. (1982) (KMJKGO) is compared with the simulation which follows the trajectories of particles in a simulated random magnetic field. The comparison shows that the KMJKGO method gives similar time profiles of the intensity to those obtained by the simulation, even with the anisotropic injection of particle at the source. It is found that the time profile is very sensitive to the direction of the velocity cone with respect to the ambient magnetic field at the point of injection, even though the same scattering mean free path is used. Thus, the direction of the velocity cone at the injection of the particles may be an important parameter when interpreting the propagation of solar cosmic rays from the time profile of intensity. This is especially true for a long scattering mean free path.