The effect of dispersion upon charged particle transport in random magnetic fields

Details The effect of dispersion upon charged particle transport in random magnetic fields The effect of dispersion upon charged particle transport in random magnetic fields

Aug 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...343..936e&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 343, Aug. 15, 1989, p. 936-945.

Astronomy and Astrophysics

Astrophysics

8

Charged Particles, Fokker-Planck Equation, Magnetic Fields, Particle Acceleration, Transport Properties, Dispersion, Distribution Functions, Random Processes, Steady State

Scientific paper

Shortly after a strongly anisotropic beam is injected along a guiding magnetic field on which is superposed a small random component, the charged-particle density can be represented by a Gaussian profile whose center moves with the coherent velocity and whose width increases with time at a rate controlled by the coefficient of dispersion. Both parameters of this coherent mode of propagation depend upon the mean free path, which characterizes scattering by the random fields, and the focusing length, which characterizes spatial variations of the guiding field. These dependences are known explicitly for the coherent velocity, but expressions for the coefficient of dispersion are available only in the limits of very weak and very strong focusing. To span this gap, a more comprehensive analytic description of focused transport has been developed. This description includes dispersion and is valid for arbitrary spatial dependences of both the scattering mean free path and the focusing length.

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