Analytic calculation of the parallel mean free path of heliospheric cosmic rays
I. Dynamical magnetic slab turbulence and random sweeping slab turbulence
Institut für Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, Ruhr-Universität Bochum, 44780 Bochum, Germany
Corresponding author: A. Teufel, email@example.com
Accepted: 16 July 2002
The parallel mean free path of cosmic ray particles in partially turbulent electromagnetic fields is a key input parameter for cosmic ray transport. Here the parallel mean free paths of cosmic ray protons, electrons and positrons are calculated for two particular turbulence models: slab-like dynamical and random sweeping turbulence. After outlining the general quasilinear formalism for deriving the pitch-angle Fokker-Planck coefficient in weak turbulence from the particle's equation of motion, the rigidity dependence and the absolute value of the mean free path for these specific turbulence models are calculated. Approximations for the mean free path for realistic Kolmogorov-type turbulence power spectra which include the steepening at high wavenumbers due to turbulence dispersion and/or dissipation are given.
Key words: cosmic rays / plasmas / turbulence / diffusion / Sun: particle emission
© ESO, 2002