On the validity of weak particle-field interaction theory for the description of cosmic-ray particle diffusion in random magnetic fields

Physics

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Cosmic Rays, Interplanetary Magnetic Fields, Particle Diffusion, Weak Energy Interactions, Diffusion Coefficient, Field Theory (Physics), Particle Interactions, Random Processes, Theoretical Physics

Scientific paper

Since considerable debate has arisen recently about the applicability of the weak-inter- action theory for the description of cosmic-ray particle diffusion in random magnetic fields, a critical discussion of the conditions of validity of this theory is presented. It is pointed out that the singular behaviour of the diffusion coefficient at pitch angles of 0 = 900 does not lead to a break- down of the weak-interaction theory, though an extension of pitch-angle scattering analysis to higher order may be necessary. In particular, an investigation of the s-function contribution to the diffusion coefficient at pitch angles of 90° discovered by Fisk et a!. (1974) indicates that it has no influence on either pitch-angle scattering or the associated problem of particle diffusion parallel to the mean magnetic field. Although an infinite diffusion coefficient at 900 pitch angles implies a singualr breakdown of the weak-interaction theory at that point, the effects are purely local and are negligible when considering averaged particle properties

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