# von Kármán-Howarth equation for three-dimensional two-fluid plasmas.

@article{Andrs2016vonKE, title={von K{\'a}rm{\'a}n-Howarth equation for three-dimensional two-fluid plasmas.}, author={Nahuel Andr{\'e}s and Pablo D. Mininni and Pablo A. Dmitruk and Daniel O. G{\'o}mez}, journal={Physical review. E}, year={2016}, volume={93 6}, pages={ 063202 } }

We derive the von Kármán-Howarth equation for a full three-dimensional incompressible two-fluid plasma. In the long-time limit and for very large Reynolds numbers we obtain the equivalent of the hydrodynamic "four-fifths" law. This exact law predicts the scaling of the third-order two-point correlation functions, and puts a strong constraint on the plasma turbulent dynamics. Finally, we derive a simple expression for the 4/5 law in terms of third-order structure functions, which is appropriate…

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