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The effect of a sharp short-wave truncation on Hall magnetohydrodynamic (MHD) turbulence is studied numerically to obtain basic information for constructing sub-grid-scale models of the Hall MHD equations. Hall MHD turbulence is found to be less sensitive to truncation than MHD turbulence, because the Hall term suppresses energy transfer in the magnetic field at relatively low wave numbers.

Influences of Short-Wave Truncations to Spectral Energy Budget in Hall MHD Turbulence