Physics
Scientific paper
Aug 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001icrc....8.3326w&link_type=abstract
Proceedings of the 27th International Cosmic Ray Conference. 07-15 August, 2001. Hamburg, Germany. Under the auspices of the Int
Physics
2
Scientific paper
In this paper, we study a model of cosmic ray diffusion based on a gyro-phase, and pitch-angle dependent BGK Boltzmann model, involving two collision time scales τ⊥ and τ associated with scattering perpendicular and parallel to the background magnetic field B0. The time scale τ⊥ describes the ironing out of gyro-phase anisotropies, and the relaxation of the full gyro-phase distribution f to the gyroaveraged distribution f0. The time scale τ⊥ determines the diffusion coefficient κ⊥, perpendicular to the mean magnetic field, and the corresponding anti-symmetric diffusion coefficient κA associated with particle drifts. The time scale τ describes the relaxation of the pitch angle distribution f0 to the isotropic distribution F0, and determines the parallel diffusion coefficient κ . The Green function solution of the model equation is obtained, for the case of delta function initial data in position, pitch angle and gyro-phase, in terms of FourierLaplace transforms. The solutions are used to discuss nondiffusive and diffusive particle transport. The gyro-phase dependent solutions exhibit cyclotron resonant behaviour, modified by resonance broadening due to τ⊥.
Kota József
Lu Jian-Yong
Webb Gary M.
Zank Gary P.
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