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Title: Magnetic field line random walk in models and simulations of reduced magnetohydrodynamic turbulence
Authors: A. P. Snodin
D. Ruffolo
S. Oughton
S. Servidio
W. H. Matthaeus
Mahidol University
South Carolina Commission on Higher Education
King Mongkut's University of Technology North Bangkok
University of Waikato
Universita della Calabria
Bartol Research Institute
Keywords: Earth and Planetary Sciences;Physics and Astronomy
Issue Date: 10-Dec-2013
Citation: Astrophysical Journal. Vol.779, No.1 (2013)
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. © 2013. The American Astronomical Society. All rights reserved..
ISSN: 15384357
Appears in Collections:Scopus 2011-2015

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