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

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

Oct 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978soph...59..395k&link_type=abstract

Solar Physics, vol. 59, Oct. 1978, p. 395-405.

Physics

Cosmic Rays, Fokker-Planck Equation, Interplanetary Magnetic Fields, Magnetic Variations, Particle Diffusion, Asymptotic Methods, Magnetic Effects, Magnetic Field Configurations

Scientific paper

The Fokker-Planck equation for the early time is used to analyze the transport of energetic charged particles in fluctuating magnetic fields for the period when the diffusive modes are not yet valid. Exact solutions are found for the particle fluxes integrated over space. The analysis is performed for both a constant and a divergent mean magnetic field. After a finite time, a time-independent final steady state is attained, and the usual diffusive modes of the velocity-integrated density become valid.

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