Transforming Away the Cross Term in Quasilinear Diffusion

Details Transforming Away the Cross Term in Quasilinear Diffusion Transforming Away the Cross Term in Quasilinear Diffusion

Dec 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004agufmsm41a1124a&link_type=abstract

American Geophysical Union, Fall Meeting 2004, abstract #SM41A-1124

Physics

7867 Wave/Particle Interactions, 2716 Energetic Particles, Precipitating, 2720 Energetic Particles, Trapped, 2730 Magnetosphere: Inner, 2753 Numerical Modeling

Scientific paper

Two dimensional quasilinear diffusion can play an important role in wave-particle interactions, e.g. in stormtime acceleration of electrons. The appropriate diffusion coefficients have been calculated, but time-dependent solution of the diffusion equation is numerically difficult because of the often large and rapidly varying cross term. Transforming to variables aligned with the eigenvectors of the diffusion matrix leads the cross term to vanish, which is a large physical, mathematical, and numerical simplification. Details of the transformation and physical interpretation will be presented, along with application to a model problem.

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