Physics
Scientific paper
Dec 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005agufmsm51a1265b&link_type=abstract
American Geophysical Union, Fall Meeting 2005, abstract #SM51A-1265
Physics
2720 Energetic Particles: Trapped, 2752 Mhd Waves And Instabilities (2149, 6050, 7836), 2772 Plasma Waves And Instabilities (2471), 2774 Radiation Belts
Scientific paper
In recent work, a general formulation of bounce-averaged quasilinear transport has yielded a 3×3 diffusion tensor that describes the cyclotron-, bounce- and drift-resonant interactions of relativistic magnetically-trapped particles with electromagnetic waves of general polarization [Brizard and Chan, Phys. Plasmas 11, 4220 (2004)]. In the appropriate limits, the 3-3 element of the diffusion tensor has been shown to reduce to the classic radial diffusion coefficient of Falthammar [JGR 70, 2503 (1965)]. However, along with some similarities to earlier energy and pitch-angle diffusion coefficients due to cyclotron resonances, including the pioneering work by Kennel, Lyons and Thorne, there are some interesting differences. For example, in contrast to the well-known local resonance condition ω - k∥ v∥ - ℓ ωc = 0 (where ω is the wave frequency, k∥ is the parallel component of the wave vector, v∥ is the parallel component of the particle velocity, ℓ is an integer, and ωc is the cyclotron frequency) which appears in the early work, the resonance condition in the recent work is ω - ℓ <ωc> - n ωb - m <ωd> = 0 (where n is an integer, ωb is the bounce frequency, m is the azimuthal mode number, ωd is the drift frequency, and angle brackets denote bounce averaging). We note in particular that the bounce-averaged cyclotron frequency appears in the latter resonance condition, rather than the local cyclotron frequency. In this presentation, we show how the effects of local resonances are contained in our general formulation and we investigate the connection between the local and bounce-averaged wave-particle cyclotron resonances.
Brizard Alain
Chan Anthony A.
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