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#### Validity of weak particle-field interaction theory for description of cosmic-ray particle diffusion in random magnetic-fields

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##### Citation

Alpers, W., Hasselmann, K., & Kunstmann, J. (1978). Validity of weak particle-field
interaction theory for description of cosmic-ray particle diffusion in random magnetic-fields.* Astrophysics
and Space Science,* *58*, 259-271. doi:10.1007/BF00644516.

Cite as: https://hdl.handle.net/21.11116/0000-0006-0536-8

##### Abstract

Since considerable debate has arisen recently about the applicability of the weak-interaction 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 θ=90° does not lead to a breakdown 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 δ-function contribution to the diffusion coefficient at pitch angles of 90° discovered by Fisket al. (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 90° 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

In particular, an investigation of the δ-function contribution to the diffusion coefficient at pitch angles of 90° discovered by Fisket al. (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 90° 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