Numerical investigation of non-resonant and resonant scattering of charged particles with a spatially varying magnetic field |
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| Authors: | S Webb J J Quenby |
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| Institution: | 1. Physics Dept., Imperial College, Prince Consort Road, 7, London, S.W., U.K.
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| Abstract: | By integrating many charged particle trajectories in a magnetic field model consisting of a series of equally spaced field discontinuities with equal angular displacements, constant ¦B¦ and successive displacements oppositely directed, a parallel diffusion coefficient K ∥ is obtained. The particle gyroradius was kept sufficiently small for the interaction to be non-resonant. The diffusion coefficient is found to be in good agreement with that predicted by the known reflection properties for charged particles of individual discontinuities. However an attempt to reproduce the diffusion coefficient using the results of a recent study by Klimas and Sandri of a non-local diffusion equation applying to the non-resonant case lead to too low a value of K ∥. The computational approach was also applied to the case where the particle motion was in resonance with the wavelength of the train of discontinuities and a lower limit to K ∥ obtained. This lower limit exceeded the quasi-linear approximation value for K ∥ under resonant scattering conditions. |
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