HR: 1330h
AN: SM42C-0616    [PDF]
TI: Derivation of a new 3x3 Relativistic Quasilinear Radiation Belt Diffusion Tensor
AU: * Chan, A A
EM: aac@rice.edu
AF: Rice University, 6100 Main Street, Houston, TX 77005-1892 United States
AU: Brizard, A J
EM: aac@rice.edu
AF: Saint Michael's College, Box 254, One Winooski Park, Colchester, VT 05439 United States
AB: 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.
DE: 2716 Energetic particles, precipitating
DE: 2720 Energetic particles, trapped
DE: 2730 Magnetosphere--inner
SC: SPA - Magnetospheric Physics [SM]
MN: 2003 Fall Meeting