Scaling and anisotropy of magnetohydrodynamic turbulence in a strong mean magnetic field

Physics – Plasma Physics

Scientific paper

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[7599] Solar Physics, Astrophysics, And Astronomy / General Or Miscellaneous, [7839] Space Plasma Physics / Nonlinear Phenomena, [7863] Space Plasma Physics / Turbulence

Scientific paper

We present a new analysis of the anisotropic spectral energy distribution in incompressible magnetohydrodynamic (MHD) turbulence permeated by a strong mean magnetic field. The turbulent flow is generated by high-resolution pseudo-spectral direct numerical simulations with large-scale isotropic forcing. Examining the radial energy distribution for various angles θ with respect to B reveals a specific structure which remains hidden when not taking axial symmetry with respect to B0 into account. For each direction, starting at the forced large-scales, the spectrum first exhibits an amplitude drop around a wavenumber k0 which marks the start of a scaling range and goes on up to a dissipative wavenumber kd(θ). The 3D spectrum for k ≥ k0 is described by a single θ-independent functional form F(k/kd), the scaling law being the same in every direction. The previous properties still hold when increasing the mean field from B0=5 up to B0=10 (in units of brms), as well as when passing from resistive to ideal flows. We conjecture that at fixed B0 the direction-independent scaling regime is reached when increasing the Reynolds number above a threshold which raises with increasing B0.

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