Intermittency in Hall-magnetohydrodynamics with a strong guide field

Abstract

We present a detailed study of intermittency in the velocity and magnetic field fluctuations of compressible Hall-magnetohydrodynamic turbulence with an external guide field. To solve the equations numerically, a reduced model valid when a strong guide field is present is used. Different values for the ion skin depth are considered in the simulations. The resulting data is analyzed computing field increments in several directions perpendicular to the guide field, and building structure functions and probability density functions. In the magnetohydrodynamic limit we recover the usual results with the magnetic field being more intermittent than the velocity field. In the presence of the Hall effect, field fluctuations at scales smaller than the ion skin depth show a substantial decrease in the level of intermittency, with close to monofractal scaling.

10 pages, 8 figures

References in corpus (9)

• Small Scale Energy Cascade of the Solar Wind Turbulence
• Multi-scale Hall-MHD turbulence in the solar wind
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• On the von Karman-Howarth equations for Hall MHD flows
• Vlasov simulations of multi-ion plasma turbulence in the solar wind
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Cited by in corpus (6)

• High-resolution hybrid simulations of kinetic plasma turbulence at proton scales
• Solar wind turbulent cascade from MHD to sub-ion scales: large-size 3D hybrid particle-in-cell simulations
• Intermittency of Solar Wind Density Fluctuations From Ion to Electron Scales
• Three-dimensional simulations of solar wind turbulence with the hybrid code CAMELIA
• Statistical Properties of three-dimensional Hall Magnetohydrodynamics Turbulence
• A-priori study of the subgrid energy transfers for small-scale dynamo in kinematic and saturation regimes