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Solutions of the Fokker-Planck equation for the early time when the diffusive modes are not yet valid

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Abstract

The transport of energetic charged particles in fluctuating magnetic fields is analysed by means of the Fokker-Planck equation for the early time, when the diffusive modes are not yet valid. Exact solutions are found for the particle fluxes integrated over space; after these have reached a time-independent final steady state, the usually considered diffusive modes of the velocity-integrated density become valid. The time for that is finite. The analysis is done both for a constant and a divergent mean magnetic field.

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  1. Institut für Reine und Angewandte Kernphysik, Kiel, B.R.D.

    Jörn E. Kunstmann

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  1. Jörn E. Kunstmann
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Kunstmann, J.E. Solutions of the Fokker-Planck equation for the early time when the diffusive modes are not yet valid. Sol Phys 59, 395–405 (1978). https://doi.org/10.1007/BF00951845

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  • DOI: https://doi.org/10.1007/BF00951845

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