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Astron. Astrophys. 358, 347-352 (2000)

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The Parker propagator for spherical solar modulation

O. Stawicki, H. Fichtner and R. Schlickeiser

Institut für Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, Ruhr-Universität Bochum, 44780 Bochum, Germany

Received 28 January 2000 / Accepted 30 March 2000


An analytical solution for the Green's function of the fundamental transport equation of cosmic rays, i.e. of the Parker equation, is presented. The solution is valid for an arbitrary power-law dependence of the coefficient of spatial diffusion on both the configuration and the momentum space coordinate, and it generalizes earlier more limited solutions. The flexibility with respect to the momentum dependence allows for a study of different turbulence models. Here, three of such models, namely a slab turbulence with Alfvén waves, an isotropic turbulence with fast magnetosonic waves and one consisting of a mixture of slab Alfvén and isotropic fast magnetosonic waves are considered. After the determination of the transport parameters for these turbulence models, the analytical solution for the Parker propagator is applied to the problem of heliospheric modulation of anomalous as well as galactic cosmic rays.

Key words: acceleration of particles – diffusion – turbulence – waves – methods: analytical – ISM: cosmic rays

Send offprint requests to: Olaf Stawicki

Correspondence to: os@tp4.ruhr-uni-bochum.de

© European Southern Observatory (ESO) 2000

Online publication: June 26, 2000