Kinetic Propagation of Charged Particles in a Magnetic Field at Various Directions of Their Injection

Abstract

Abstract—The propagation of high-energy charged particles in the magnetic field, which is a superposition of the mean homogeneous magnetic field and magnetic inhomogenieties of various scales, is considered on the basis of the Fokker-Planck kinetic equation. The analytical expression for the cosmic ray distribution function corresponding to the instantaneous particle injection in the direction perpendicular to the regular magnetic field is obtained. The solution of the kinetic equation in the small angle approximation is applied for the case of particle emission along the mean magnetic field. It is shown that the spatial-temporal cosmic ray distribution depends substantially on the direction of particle injection. The evolution of the angular distribution of solar cosmic rays is analyzed on the basis of the derived solutions of the kinetic equation.