On the two-dimensional state in driven magnetohydrodynamic turbulence

Abstract

The dynamics of the two-dimensional (2D) state in driven tridimensional (3D) incompressible magnetohydrodynamic turbulence is investigated through high-resolution direct numerical simulations and in the presence of an external magnetic field at various intensities. For such a flow the 2D state (or slow mode) and the 3D modes correspond respectively to spectral fluctuations in the plan $k_{\parallel }=0$ and in the area $k_{\parallel }>0$. It is shown that if initially the 2D state is set to zero it becomes non negligible in few turnover times particularly when the external magnetic field is strong. The maintenance of a large scale driving leads to a break for the energy spectra of 3D modes; when the driving is stopped the previous break is removed and a decay phase emerges with alfvénic fluctuations. For a strong external magnetic field the energy at large perpendicular scales lies mainly in the 2D state and in all situations a pinning effect is observed at small scales.

11 pages, 11 figures

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• Weak turbulence theory for rotating magnetohydrodynamics and planetary dynamos
• Weak Alfven-Wave Turbulence Revisited
• The incompressible energy cascade rate in anisotropic solar wind turbulence
• Weak turbulence in two-dimensional magnetohydrodynamics
• Tridimensional to bidimensional transition in magnetohydrodynamic turbulence with a guide field and kinetic helicity injection
• Diffusion of large-scale magnetic fields by reconnection in MHD turbulence
• Non-universal behaviour of helical two-dimensional three-component turbulence
• Inverse cascade suppression and shear layer formation in MHD turbulence subject to a guide field and misaligned rotation
• Exact two-dimensionalization of low-magnetic-Reynolds-number flows subject to a strong magnetic field
• Finite Dissipation in Anisotropic Magnetohydrodynamic Turbulence