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The von Karman-Howarth equations are derived for three-dimensional (3D) Hallmagnetohydrodynamics (MHD) in the case of an homogeneous and isotropicturbulence. From these equations, we derive exact scaling laws for thethird-order correlation tensors. We show how these relations are compatiblewith previous heuristic and numerical results. These multi-scale laws provide arelevant tool to investigate the non-linear nature of the high frequencymagnetic field fluctuations in the solar wind or, more generally, in any plasmawhere the Hall effect is important.

On the von Karman-Howarth equations for Hall MHD flows