Analytical description of charged particle transport along arbitrary guiding field configurations

Details Analytical description of charged particle transport along arbitrary guiding field configurations Analytical description of charged particle transport along arbitrary guiding field configurations

Dec 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...251..739e&link_type=abstract

Astrophysical Journal, Part 1, vol. 251, Dec. 15, 1981, p. 739-755.

Astronomy and Astrophysics

Astrophysics

34

Boltzmann Transport Equation, Charged Particles, Fokker-Planck Equation, Magnetic Field Configurations, Particle Diffusion, Transport Theory, Angular Distribution, Perturbation Theory, Pitch (Inclination), Solar Corpuscular Radiation, Solar Magnetic Field

Scientific paper

Aspects of charged particle transport theory have been studied by Earl (1973, 1974, 1976) in a number of investigations. The investigations were conducted under the assumption that particles propagate along a DC guiding field with negligible perpendicular transport and that pitch-angle scattering by random fields can be described by the Fokker-Planck formalism. The present study provides a generalized and simplified treatment of focused transport. The first step is taken with respect to a perturbation analysis by which the Boltzmann equation is solved in terms of successively improved approximations to its exact solution. The first approximation is the sum of isotropic pseudodiffusive and anisotropic supercoherent components whose coefficients must satisfy two coupled partial differential equations. The normalization constant K and the pseudodiffusive velocity, which appear in the first-order transport equations, are given by simple integrals over the pitch angle.

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