A nonlinear theory of cosmic-ray pitch-angle diffusion in homogeneous magnetostatic turbulence
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Goldstein, M. L. “A Nonlinear Theory of Cosmic-Ray Pitch-Angle Diffusion in Homogeneous Magnetostatic Turbulence.” The Astrophysical Journal 204 (March 1, 1976): 900–919. https://doi.org/10.1086/154239.
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This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
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Abstract
A plasma strong turbulence, weak coupling, theory is applied to the problem of cosmic-ray pitch-angle scattering in magnetostatic turbulence. The theory used is a rigorous generalization of Weinstock's 'resonance broadening' theory and contains no ad hoc approximations. A detailed calculation is presented for a model of 'slab' turbulence with an exponential correlation function. The results agree well with numerical simulations. The rigidity dependence of the pitch-angle scattering coefficient differs from that found by previous researchers. The differences result from an inadequate treatment of particle trajectories near 90 deg pitch angle in earlier work.
