Recent Developments in the Theory of Magnetohydrodynamic Turbulence

Müller, W.-C. and Busse, A. (2007) Recent Developments in the Theory of Magnetohydrodynamic Turbulence. In: 6th Annual International Astrophysical Conference, Honolulu, Oahu, Hawaii, 16-22 Mar 2007, pp. 52-57. ISBN 9780735404434 (doi:10.1063/1.2778945)

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Abstract

Recent results based on high‐resolution direct numerical simulations of incompressible magnetohydrodynamic (MHD) turbulence are summarized. With regard to the nonlinear dynamics of turbulent energy a yet unexplained scaling behavior is found in systems permeated by a strong mean magnetic field which contradicts the phenomenological Goldreich‐Sridhar picture. For macroscopically isotropic and anisotropic MHD turbulence EDQNM closure analysis leads to a simple relation between the spectra of total (EKk + EMk) and residual (|EKk − EMk|) energy. The relation is based on a clear physical picture and is well confirmed by numerical simulations. In addition, the Lagrangian approach is presented as a straightforward diagnostic for the investigation of turbulent diffusion and pair‐dispersion. Some results from a comparative study of pair‐dispersion in Navier‐Stokes and MHD turbulence are briefly outlined. It is shown that the presence of magnetic fluctuations significantly reduces turbulent dispersion due to the alignment of velocity fluctuations with the local mean magnetic field.

Item Type:Conference Proceedings
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Busse, Dr Angela
Authors: Müller, W.-C., and Busse, A.
College/School:College of Science and Engineering > School of Engineering > Aerospace Sciences
ISBN:9780735404434
Published Online:01 August 2007

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