2016/03/31 by Nahuel Andrés, N. Andrés, Pablo D. Mininni +5 · 30 citations
Engineering · Mathematics · Physics and Astronomy · #Compressibility #Constraint (computer-aided design) #Fluid Dynamics and Turbulent Flows #Geometry #Ionosphere and magnetosphere dynamics #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Physics #Plasma #Quantum mechanics #Reynolds number #Scaling #Scaling law #Solar and Space Plasma Dynamics #Statistical physics #Turbulence #physics.flu-dyn #physics.plasm-ph
paper · pdf · doi:10.1103/physreve.93.063202
published in Physical review. E 93(6), 063202 (American Physical Society)
arxiv created 2016/06/06 · openalex publication_date 2016/06/07 · arxiv updated 2016/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.