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      Magnetic field line random walk in models and simulations of reduced magnetohydrodynamic turbulence

      Snodin, A. P.; Ruffolo, D.; Oughton, Sean; Servidio, Sergio; Matthaeus, William H.
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      MAGNETIC FIELD LINE.pdf
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      DOI
       10.1088/0004-637x/779/1/56
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      Snodin, A. P., Ruffolo, D., Oughton, S., Servidio, S., & Matthaeus, W. H. (2013). Magnetic field line random walk in models and simulations of reduced magnetohydrodynamic turbulence. The Astrophysical Journal, 779(1), 56.
      Permanent Research Commons link: https://hdl.handle.net/10289/8587
      Abstract
      The random walk of magnetic field lines is examined numerically and analytically in the context of reduced magnetohydrodynamic (RMHD) turbulence, which provides a useful description of plasmas dominated by a strong mean field, such as in the solar corona. A recently developed non-perturbative theory of magnetic field line diffusion is compared with the diffusion coefficients obtained by accurate numerical tracing of magnetic field lines for both synthetic models and direct numerical simulations of RMHD. Statistical analysis of an ensemble of trajectories confirms the applicability of the theory, which very closely matches the numerical field line diffusion coefficient as a function of distance z along the mean magnetic field for a wide range of the Kubo number R. This theory employs Corrsin’s independence hypothesis, sometimes thought to be valid only at low R. However, the results demonstrate that it works well up to R = 10, both for a synthetic RMHD model and an RMHD simulation. The numerical results from the RMHD simulation are compared with and without phase randomization, demonstrating a clear effect of coherent structures on the field line random walk for a very low Kubo number.
      Date
      2013
      Type
      Journal Article
      Publisher
      IOP PUBLISHING LTD
      Rights
      © 2013 The American Astronomical Society.
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      • Computing and Mathematical Sciences Papers [1457]
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