Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.178..185u&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 178, no. 2, April 1991, p. 185-195.
Astronomy and Astrophysics
Astrophysics
1
Charged Particles, Cosmic Rays, Electromagnetic Fields, Fokker-Planck Equation, Interstellar Magnetic Fields, Solar Wind
Scientific paper
The derivation of the Fokker-Planck equation is based on the Liouville equation to provide a description of the motion of charged particles in a random electromagnetic field which is valid for all pitch angles. The validity of the Markovian assumptions are assessed, demonstrating that the turbulent magnetic fields must be sufficiently small to develop a meaningful Fokker-Planck solution. The magnitude of the fields are quantified in terms of cosmic-ray particles that are moving in a static turbulent magnetic field superimposed on a uniform background magnetic field. Two forms of the equation are found, one of which is useful in the calculation of cosmic-ray diffusion coefficients although it cannot be applied to pitches near 90 degrees.
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