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We analyze the effect of the Hall term in the magnetohydrodynamic turbulenceunder a strong externally supported magnetic field, seeing how this changes theenergy cascade, the characteristic scales of the flow and the dynamics ofglobal magnitudes, with particular interest in the dissipation.  Numerical simulations of freely evolving three-dimensional reducedmagnetohydrodynamics (RHMHD) are performed, for different values of the Hallparameter (the ratio of the ion skin depth to the macroscopic scale of theturbulence) controlling the impact of the Hall term. The Hall effect modifiesthe transfer of energy across scales, slowing down the transfer of energy fromthe large scales up to the Hall scale (ion skin depth) and carrying faster theenergy from the Hall scale to smaller scales. The final outcome is an effectiveshift of the dissipation scale to larger scales but also a development ofsmaller scales. Current sheets (fundamental structures for energy dissipation)are affected in two ways by increasing the Hall effect, with a widening but atthe same time generating an internal structure within them. In the case wherethe Hall term is sufficiently intense, the current sheet is fully delocalized.The effect appears to reduce impulsive effects in the flow, making it lessintermittent.

Energy spectrum, dissipation and spatial structures in reduced Hall magnetohydrodynamic