Spectral Energy Dynamics in Magnetohydrodynamic Turbulence

Details Spectral Energy Dynamics in Magnetohydrodynamic Turbulence Spectral Energy Dynamics in Magnetohydrodynamic Turbulence

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006agufmsh13a0389m&link_type=abstract

American Geophysical Union, Fall Meeting 2006, abstract #SH13A-0389

Physics

Plasma Physics

4415 Cascades, 4490 Turbulence (3379, 4568, 7863), 7800 Space Plasma Physics, 7827 Kinetic And Mhd Theory, 7839 Nonlinear Phenomena (4400, 6944)

Scientific paper

Spectral direct numerical simulations of incompressible MHD turbulence at a resolution of up to 10243 collocation points are presented for a statistically isotropic system as well as for a setup with an imposed strong mean magnetic field. The spectra of residual energy, Ek^R=|E_k^{M-E_k^{K}|, and total energy, E_k=E^{K}_k+E^{M}_k, are observed to scale self-similarly in the inertial range as E_k^{R}~ k^{-7/3}, E_k~ k^{-5/3} (isotropic case) and E^{R}k_\perp~ k_\perp-2, Ek_\perp~ k_\perp^{-3/2} (anisotropic case, perpendicular to the mean field direction). A model of dynamic equilibrium between kinetic and magnetic energy, based on the corresponding evolution equations of the eddy-damped quasi-normal Markovian (EDQNM) closure approximation, explains the findings. The assumed interplay of turbulent dynamo and Alfvén effect yields E_k^{R}~ k E2_k which is confirmed by the simulations.
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