Derivation of a new 3x3 Relativistic Quasilinear Radiation Belt Diffusion Tensor

Details Derivation of a new 3x3 Relativistic Quasilinear Radiation Belt Diffusion Tensor Derivation of a new 3x3 Relativistic Quasilinear Radiation Belt Diffusion Tensor

Dec 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003agufmsm42c0616c&link_type=abstract

American Geophysical Union, Fall Meeting 2003, abstract #SM42C-0616

Physics

2716 Energetic Particles, Precipitating, 2720 Energetic Particles, Trapped, 2730 Magnetosphere: Inner

Scientific paper

Under appropriate conditions the phase-space transport of radiation belt particles can be described by an equation of the Fokker-Planck form. In canonical adiabatic-invariant action-angle coordinates this equation has the standard drag-diffusion form with a 3x3 diffusion tensor. Much work has been done to obtain expressions for the diffusion tensor elements, particularly the diagonal elements, but often assuming that only one or two of the adiabatic invariants is broken. In this work, starting from the Vlasov equation and Hamiltonian guiding center theory, we have derived from first principles a relativistic Fokker-Planck equation which contains a 3x3 diffusion tensor [Brizard and Chan, submitted to Physics of Plasmas, 2003]. The 3x3 diffusion tensor describes quasilinear transport due to general electromagnetic perturbations which can break all three adiabatic invariants and it is therefore potentially very useful for evaluating the relative contributions of VLF waves versus ULF waves to radiation belt transport, including effects of off-diagonal tensor elements.

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