Tridimensional to bidimensional transition in magnetohydrodynamic turbulence with a guide field and kinetic helicity injection

Abstract

We study the transition in dimensionality of a three-dimensional magnetohydrodynamic flow forced only mechanically, when the strength of a magnetic guiding field is gradually increased. We use numerical simulations to consider cases in which the mechanical forcing injects (or not) helicity in the flow. As the guiding field is increased, the strength of the magnetic field fluctuations decrease as a power law of the guiding field intensity. We show that for strong enough guiding fields, the helical magnetohydrodynamic flow can become almost two-dimensional. In this case, the mechanical energy can undergo a process compatible with an inverse cascade, being transferred preferentially towards scales larger than the forcing scale. The presence of helicity changes the spectral scaling of the small magnetic field fluctuations, and affects the statistics of the velocity field and of the velocity gradients. Moreover, at small scales the dynamics of the flow becomes dominated by a direct cascade of helicity, which can be used to derive scaling laws for the velocity field.

arXiv comment11 pages, 11 figures

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• Alternative derivation of exact law for compressible and isothermal magnetohydrodynamics turbulence
• Dual constant-flux energy cascades to both large scales and small scales
• Energy cascade rate in isothermal compressible magnetohydrodynamic turbulence
• Interplay between Alfvén and magnetosonic waves in compressible magnetohydrodynamics turbulence
• Test particle energization and the anisotropic effects of dynamical MHD turbulence
• Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales
• Inverse cascade suppression and shear layer formation in MHD turbulence subject to a guide field and misaligned rotation
• Helicity dynamics, inverse and bi-directional cascades in fluid and MHD turbulence: A brief review