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

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-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.

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Cited by in corpus (20)

• Exact law for homogeneous compressible Hall magnetohydrodynamics turbulence
• Alternative derivation of exact law for compressible and isothermal magnetohydrodynamics turbulence
• Energy cascade rate in isothermal compressible magnetohydrodynamic turbulence
• The Ion Transition Range of Solar Wind Turbulence in the Inner Heliosphere: Parker Solar Probe Observations
• The evolution of compressible solar wind turbulence in the inner heliosphere: PSP, THEMIS and MAVEN observations
• Electron-scale reduced fluid models with gyroviscous effects
• Interplay between Alfvén and magnetosonic waves in compressible magnetohydrodynamics turbulence
• Solar Wind Turbulence Around Mars: Relation Between The Energy Cascade Rate And The Proton Cyclotron Waves Activity
• The incompressible energy cascade rate in anisotropic solar wind turbulence
• Exact scaling laws for helical three-dimensional two-fluid turbulent plasmas
• General exact law of compressible isentropic magnetohydrodynamic flows: theory and spacecraft observations in the solar wind
• Scale-to-scale energy transfer rate in compressible two-fluid plasma turbulence
• Exact law for compressible pressure-anisotropic magnetohydrodynamic turbulence: toward linking energy cascade and instabilities
• Statistics of incompressible hydrodynamic turbulence: an alternative approach
• Spatio temporal analysis of waves in compressively driven magnetohydrodynamics turbulence
• Variability of the Incompressible Energy Cascade Rate in Solar Wind Turbulence Around Mars
• Local and global properties of energy transfer in models of plasma turbulence
• Alfvén Waves at Mars
• Impact of pressure anisotropy on the cascade rate of Hall-MHD turbulence with biadiabatic ions
• Ion-scale transition of plasma turbulence: Pressure-strain effect