von K\'arm\'an-Howarth equation for three-dimensional two-fluid plasmas
Plasma Physics
2016-06-22 v2 Fluid Dynamics
Abstract
We derive the von K\'arm\'an-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-fifth" 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 for comparison with in-situ measurements in the solar wind at different spatial ranges.
Keywords
Cite
@article{arxiv.1603.06794,
title = {von K\'arm\'an-Howarth equation for three-dimensional two-fluid plasmas},
author = {Nahuel Andrés and Pablo Mininni and Pablo Dmitruk and Daniel Gómez},
journal= {arXiv preprint arXiv:1603.06794},
year = {2016}
}