Description of non-diffusive solar cosmic ray propagation in a homogeneous regular magnetic field
Main Astronomical Observatory National Academy of Sciences of Ukraine and Isaac Newton Institute of Chile, Kiev Branch, 03680, Zabolotnoho 27, Kiev, Ukraine
Corresponding author: Yu. I. Fedorov, email@example.com
Accepted: 29 November 2002
In the present paper the propagation of energetic charged particles in a magnetic field with a homogeneous regular component is studied. On the basis of the Boltzmann equation the analytical expressions for particle density and anisotropy are derived under instantaneous isotropic injection of particles into the scattering medium. Starting from the set of equations for spherical harmonics of the distribution function the new transport equation taking into account the second harmonic is carried out. The solution of this transport equation is reached and comparison with analytical solutions of the kinetic equation is performed. The telegraph equations for particle density and flux are derived and their solutions are analyzed. The transport of energetic particles under multiple small angle scattering is considered.
Key words: diffusion / radiative transfer / ISM: cosmic rays
© ESO, 2003