Energy cascade rate measured in a collisionless space plasma with MMS data and compressible Hall magnetohydrodynamic turbulence theory

Abstract

The first complete estimation of the compressible energy cascade rate $|{\epsilon }_{\text{C}}|$ at magnetohydrodynamic (MHD) and sub-ion scales is obtained in the Earth's magnetosheath using Magnetospheric MultiScale (MMS) spacecraft data and an exact law derived recently for {\it compressible} Hall MHD turbulence. A multi-spacecraft technique is used to compute the velocity and magnetic gradients, and then all the correlation functions involved in the exact relation. It is shown that when the density fluctuations are relatively small, $|{\epsilon }_{\text{C}}|$ identifies well with its incompressible analogue $|{\epsilon }_{\text{I}}|$ at MHD scales but becomes much larger than $|{\epsilon }_{\text{I}}|$ at sub-ion scales. For larger density fluctuations, $|{\epsilon }_{\text{C}}|$ is larger than $|{\epsilon }_{\text{I}}|$ at every scale with a value significantly higher than for smaller density fluctuations. Our study reveals also that for both small and large density fluctuations, the non-flux terms remain always negligible with respect to the flux terms and that the major contribution to $|{\epsilon }_{\text{C}}|$ at sub-ion scales comes from the compressible Hall flux.

References in corpus (29)

• Astrophysical gyrokinetics: kinetic and fluid turbulent cascades in magnetized weakly collisional plasmas
• Cascades and transitions in turbulent flows
• Observation of inertial energy cascade in interplanetary space plasma
• Global scale-invariant dissipation in collisionless plasma turbulence
• Exact relation for correlation functions in compressible isothermal turbulence
• Spectrum of Kinetic Alfven Turbulence
• The slow-mode nature of compressible wave power in solar wind turbulence
• Finite dissipation and intermittency in magnetohydrodynamics
• Exact Relation with Two-point Correlation Functions and Phenomenological Approach for Compressible Magnetohydrodynamic Turbulence
• Nature of Kinetic Scale Turbulence in the Earth's Magnetosheath
• Thermal disequilibration of ions and electrons by collisionless plasma turbulence
• On the Existence of the Kolmogorov Inertial Range in the Terrestrial Magnetosheath Turbulence
• On the von Karman-Howarth equations for Hall MHD flows
• Compressible magnetohydrodynamic turbulence in the Earth's magnetosheath: estimation of the energy cascade rate using in situ spacecraft data
• Using Synthetic Spacecraft Data to Interpret Compressible Fluctuations in Solar Wind Turbulence
• Energy Cascade Rate In Compressible Fast And Slow Solar Wind Turbulence
• Energy cascade and scaling in supersonic isothermal turbulence
• Von Karman-Howarth equation for Hall magnetohydrodynamics: Hybrid simulations
• Scaling of compressible magnetohydrodynamic turbulence in the fast solar wind
• Nature of the MHD and kinetic scale turbulence in the magnetosheath of Saturn: Cassini observations
• Dynamic Alignment and Exact Scaling Laws in MHD Turbulence
• Exact law for homogeneous compressible Hall magnetohydrodynamics turbulence
• Alternative derivation of exact law for compressible and isothermal magnetohydrodynamics turbulence
• Constraints on ion vs. electron heating by plasma turbulence at low beta
• On exact laws in incompressible Hall magnetohydrodynamic turbulence
• Energy cascade rate in isothermal compressible magnetohydrodynamic turbulence
• Scaling laws for mixing and dissipation in unforced rotating stratified turbulence
• Energy transfer in compressible magnetohydrodynamic turbulence for isothermal self-gravitating fluids
• -8/3 spectrum in kinetic Alfvén wave turbulence: implications for the solar wind

Cited by in corpus (29)

• In-situ observation of Hall Magnetohydrodynamic Cascade in Space Plasma
• Pressure-Strain Interaction as the Energy Dissipation Estimate in Collisionless Plasma
• Kinetic Scale Slow Solar Wind Turbulence in the Inner Heliosphere: Co-existence of Kinetic Alfvén Waves and Alfvén Ion Cyclotron Waves
• Turbulent cascade and energy transfer rate in a solar coronal mass ejection
• Strategies for determining the cascade rate in MHD turbulence: isotropy, anisotropy, and spacecraft sampling
• The Importance of Electron Landau Damping for the Dissipation of Turbulent Energy in Terrestrial Magnetosheath Plasma
• The evolution of compressible solar wind turbulence in the inner heliosphere: PSP, THEMIS and MAVEN observations
• 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
• 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
• Anisotropy of Magnetic Field Spectra at Kinetic Scales of Solar Wind Turbulence as Revealed by Parker Solar Probe in the Inner Heliosphere
• 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
• 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
• An in-depth numerical study of exact laws for compressible Hall magnetohydrodynamic turbulence
• Spatio temporal analysis of waves in compressively driven magnetohydrodynamics turbulence
• Energy transfer, discontinuities and heating in the inner solar wind measured with a weak and local formulation of the Politano-Pouquet law
• Fluid energy cascade rate and kinetic damping: new insight from 3D Landau-fluid simulations
• Local and global properties of energy transfer in models of plasma turbulence
• Observation of Turbulent Magnetohydrodynamic Cascade in the Jovian Magnetosheath
• On the contribution of the Hall term in small-scale magnetohydrodynamic dynamo
• 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
• Cascade of circulicity in compressible turbulence
• Current sheets, plasmoids and flux ropes in the heliosphere. Part II: Theoretical aspects
• Incompressible Extended Magnetohydrodynamics Waves: Implications of Electron Inertia
• Decay of space plasma turbulence downstream of bow shocks: MMS magnetosheath unbiased campaign observations