Exact law for homogeneous compressible Hall magnetohydrodynamics turbulence

Abstract

We derive the exact law for three-dimensional (3D) homogeneous compressible isothermal Hall magnetohydrodynamics (CHMHD) turbulence, without the assumption of isotropy. The Hall current is shown to introduce new flux and sources terms that act at the small scales (comparable or smaller than the ion skin depth) to significantly impact the turbulence dynamics. The new law provides an accurate means to estimate for the first time the energy cascade rate over a broad range of scales covering the MHD inertial range and the sub-ion dispersive range in 3D numerical simulations and {\it in situ} spacecraft observations of compressible turbulence. This work is particularly relevant to astrophysical flows in which small scale density fluctuations cannot be ignored such as the solar wind, planetary magnetospheres and the interstellar medium (ISM).

References in corpus (8)

• Observation of inertial energy cascade in interplanetary space plasma
• On the von Karman-Howarth equations for Hall MHD flows
• Energy Cascade Rate In Compressible Fast And Slow Solar Wind Turbulence
• Nature of the MHD and kinetic scale turbulence in the magnetosheath of Saturn: Cassini observations
• Scaling of compressible magnetohydrodynamic turbulence in the fast solar wind
• Physical Interpretation of the Angle Dependent Magnetic Helicity Spectrum in the Solar Wind: The Nature of Turbulent Fluctuations near the Proton Gyroradius Scale
• Alternative derivation of exact law for compressible and isothermal magnetohydrodynamics turbulence
• Two-fluid turbulence including electron inertia

Cited by in corpus (25)

• Physical Processes in Star Formation
• Energy cascade rate measured in a collisionless space plasma with MMS data and compressible Hall magnetohydrodynamic turbulence theory
• The evolution of compressible solar wind turbulence in the inner heliosphere: PSP, THEMIS and MAVEN observations
• The Importance of Electron Landau Damping for the Dissipation of Turbulent Energy in Terrestrial Magnetosheath Plasma
• Compressible turbulence in the interstellar medium: New insights from a high-resolution supersonic turbulence simulation
• Spectral transfer and Kármán-Howarth-Monin equations for compressible Hall magnetohydrodynamics
• The incompressible energy cascade rate in anisotropic solar wind turbulence
• Fast magneto-acoustic wave turbulence and the Iroshnikov-Kraichnan spectrum
• General exact law of compressible isentropic magnetohydrodynamic flows: theory and spacecraft observations in the solar wind
• Subion Scale Turbulence Driven by Magnetic Reconnection
• Scale-to-scale energy transfer rate in compressible two-fluid plasma turbulence
• A Statistical Study of the Compressible Energy Cascade Rate in Solar Wind Turbulence: Parker Solar Probe Observations
• Exact law for compressible pressure-anisotropic magnetohydrodynamic turbulence: toward linking energy cascade and instabilities
• Space-filter techniques for quasi-neutral hybrid-kinetic models
• An in-depth numerical study of exact laws for compressible Hall magnetohydrodynamic turbulence
• Energy transfer, discontinuities and heating in the inner solar wind measured with a weak and local formulation of the Politano-Pouquet law
• Variability of the Incompressible Energy Cascade Rate in Solar Wind Turbulence Around Mars
• Fluid energy cascade rate and kinetic damping: new insight from 3D Landau-fluid simulations
• Observation of Turbulent Magnetohydrodynamic Cascade in the Jovian Magnetosheath
• On the contribution of the Hall term in small-scale magnetohydrodynamic dynamo
• Alfvén Waves at Mars
• Proof of the zeroth law of turbulence in one-dimensional compressible magnetohydrodynamics and shock heating
• Impact of pressure anisotropy on the cascade rate of Hall-MHD turbulence with biadiabatic ions
• On cascade of kinetic energy in compressible hydrodynamic turbulence
• Ion-scale transition of plasma turbulence: Pressure-strain effect