Partially averaged field approach to cosmic ray diffusion

Details Partially averaged field approach to cosmic ray diffusion Partially averaged field approach to cosmic ray diffusion

Mar 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phfl...21..347j&link_type=abstract

Physics of Fluids, vol. 21, Mar. 1978, p. 347-360.

Physics

Condensed Matter

Statistical Mechanics

45

Cosmic Rays, Diffusion Theory, Field Theory (Physics), Particle Diffusion, Kinetic Equations, Magnetic Properties, Magnetohydrodynamic Turbulence, Perturbation Theory, Statistical Mechanics

Scientific paper

A new nonlinear technique is used to derive the kinetic equation for particles interacting with turbulent fluctuations. Difficulties associated with quasi-linear theory are avoided. The new method evaluates the effects of the fluctuations along particle orbits which themselves include the effects of a statistically averaged subset of the possible configuration of the turbulence. As an illustration, the pitch-angle diffusion coefficient is calculated for particles interacting with 'slab model' magnetic turbulence, i.e., magnetic fluctuations linearly polarized transverse to a mean magnetic field. The pitch-angle diffusion coefficient is determined in the vicinity of 90-deg pitch angles where quasi-linear theory breaks down. The spatial diffusion coefficient parallel to a mean magnetic field is evaluated by use of the calculated pitch-angle diffusion coefficient. It is suggested that the partially averaged field method is not limited to small amplitude fluctuating fields and hence is not a perturbation theory.

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