The effect of adiabatic focusing upon charged-particle propagation in random magnetic fields

Details The effect of adiabatic focusing upon charged-particle propagation in random magnetic fields The effect of adiabatic focusing upon charged-particle propagation in random magnetic fields

May 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apj...205..900e&link_type=abstract

Astrophysical Journal, vol. 205, May 1, 1976, pt. 1, p. 900-919.

Mathematics

68

Charged Particles, Cosmic Rays, Magnetic Fields, Transport Properties, Adiabatic Conditions, Eigenvalues, Operators (Mathematics), Propagation Modes, Random Processes, Relaxation Time, Sturm-Liouville Theory

Scientific paper

The charged particles considered are scattered by random fields while they propagate along the diverging lines of force of a spatially inhomogeneous guiding field. Their longitudinal transport is described in terms of the eigenfunctions of a Sturm-Liouville operator which incorporates the effect of adiabatic focusing along with that of scattering. The relaxation times and characteristic velocities which appear in this matrix formulation of the transport problem are graphed and tabulated. Explicit formulas which describe the particle-density profile that results from a localized impulsive injection are derived for two different regimes. In the first regime, where focusing is relatively weak, a diffusive mode of propagation is dominant, but coherent modes are also present, and they become prominent as the intensity of focusing increases. In the second regime, where focusing is strong and where diffusion does not occur, the propagation is purely coherent. The existence of this supercoherent mode of particle transport opens up many possibilities for the interpretation of astrophysical phenomena.

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