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Phys Rev E. 2016 Jun;93(6):063202. doi: 10.1103/PhysRevE.93.063202. Epub 2016 Jun 7.

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

Author information

1
Instituto de Astronomía y Física del Espacio, CONICET-UBA, Ciudad Universitaria, 1428 Buenos Aires, Argentina.
2
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina.
3
Instituto de Física de Buenos Aires, CONICET-UBA, Ciudad Universitaria, 1428 Buenos Aires, Argentina.

Abstract

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 for comparison with in situ measurements in the solar wind at different spatial ranges.

PMID:
27415372
DOI:
10.1103/PhysRevE.93.063202

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