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      A numerical study of diffusive cosmic-ray transport with adiabatic focusing

      Litvinenko, Yuri E.; Noble, Patrick L.
      DOI
       10.1088/0004-637X/765/1/31
      Link
       iopscience.iop.org
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      Citation
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      Litvinenko, Y.E. & Noble, P.L. (2013). A numerical study of diffusive cosmic-ray transport with adiabatic focusing. Astrophysical Journal, 765(1), 31.
      Permanent Research Commons link: https://hdl.handle.net/10289/7355
      Abstract
      Focused particle transport in a nonuniform large-scale magnetic field is investigated numerically in the case of isotropic pitch-angle scattering. Evolving particle density profiles and distribution moments are computed from solutions of a system of stochastic differential equations, equivalent to the original Fokker-Planck equation for the particle distribution. Conflicting analytical predictions for the transport coefficients in the diffusion limit, independently calculated by Beeck & Wibberenz and Shalchi, are compared with the numerical results. The reasons for the discrepancies among the analytical and numerical treatments, as well as the general limitations of the diffusion model, are discussed. The telegraph equation, derived in a higher-order expansion of the particle distribution function, is shown to describe the particle transport much more accurately than the diffusion model, especially ahead of a moving density pulse.
      Date
      2013
      Type
      Journal Article
      Publisher
      Institute of Physics
      Collections
      • Computing and Mathematical Sciences Papers [1452]
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