The coupling of quasi-linear pitch angle and energy diffusion

Details The coupling of quasi-linear pitch angle and energy diffusion The coupling of quasi-linear pitch angle and energy diffusion

Nov 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009jastp..71.1664a&link_type=abstract

Journal of Atmospheric and Solar-Terrestrial Physics, Volume 71, Issue 16, p. 1664-1668.

Physics

2

Cross Diffusion, Diffusion Coefficients, Wave-Particle Interactions

Scientific paper

Wave-particle interactions are described in the quasi-linear formulation by bounce-averaged diffusion coefficients for equatorial pitch angle [alpha]0 and for momentum p, along with a mixed or cross diffusion coefficient D[alpha]0p. Because the cross terms complicate the associated time-dependent diffusion equation, and because D[alpha]0p has a somewhat unfamiliar character (e.g., it may be negative), it has frequently been omitted in numerical simulations of multidimensional diffusion. Generally, D[alpha]0p becomes increasingly important for small values of fpe/fce, as does Dpp, and for small widths of the wave frequency and wavenormal angle distributions. Here we use very simple models of diffusion to investigate the effect of the cross terms, and to demonstrate numerical problems associated with them.

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