Observation of inertial energy cascade in interplanetary space plasma

Abstract

We show in this article direct evidence for the presence of an inertial energy cascade, the most characteristic signature of hydromagnetic turbulence (MHD), in the solar wind as observed by the Ulysses spacecraft. After a brief rederivation of the equivalent of Yaglom's law for MHD turbulence, we show that a linear relation is indeed observed for the scaling of mixed third order structure functions involving Elsässer variables. This experimental result, confirming the prescription stemming from a theorem for MHD turbulence, firmly establishes the turbulent character of low-frequency velocity and magnetic field fluctuations in the solar wind plasma.

References in corpus (3)

• Statistical anisotropy of magnetohydrodynamic turbulence
• Analysis of cancellation in two-dimensional magnetohydrodynamic turbulence
• Persistence of small-scale anisotropy of magnetic turbulence as observed in the solar wind

Cited by in corpus (97)

• Solar Wind Turbulence and the Role of Ion Instabilities
• Emergence of a Turbulent Cascade in a Quantum Gas
• Global scale-invariant dissipation in collisionless plasma turbulence
• Scaling Laws of Turbulence and Heating of Fast SolarWind: The Role of Density Fluctuations
• 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
• Energy Cascade Rate In Compressible Fast And Slow Solar Wind Turbulence
• Turbulence-driven ion beams in the magnetospheric Kelvin-Helmholtz instability
• Solar wind turbulent cascade from MHD to sub-ion scales: large-size 3D hybrid particle-in-cell simulations
• Enhanced Energy Transfer Rate in Solar Wind Turbulence Observed near the Sun from Parker Solar Probe
• In situ observations of large amplitude Alfvén waves heating and accelerating the solar wind
• Energy cascade rate measured in a collisionless space plasma with MMS data and compressible Hall magnetohydrodynamic turbulence theory
• Von Karman-Howarth equation for Hall magnetohydrodynamics: Hybrid simulations
• Scaling of compressible magnetohydrodynamic turbulence in the fast solar wind
• Anisotropy of third-order structure functions in MHD turbulence
• In-situ observation of Hall Magnetohydrodynamic Cascade in Space Plasma
• Scale dependence of energy transfer in turbulent plasma
• Pressure-Strain Interaction as the Energy Dissipation Estimate in Collisionless Plasma
• Solar wind turbulence from MHD to sub-ion scales: high-resolution hybrid simulations
• Magnetic turbulence spectra and intermittency in the heliosheath and in the local interstellar medium
• Nonlinear and Linear Timescales near Kinetic Scales in Solar Wind Turbulence
• On the statistical properties of turbulent energy transfer rate in the inner Heliosphere
• Dissipation measures in weakly-collisional plasmas
• Solar Wind Turbulence Studies using MMS Fast Plasma Investigation Data
• Incompressive Energy Transfer in the Earth's Magnetosheath: Magnetospheric Multiscale Observations
• Exact law for homogeneous compressible Hall magnetohydrodynamics turbulence
• Alignment and scaling of large-scale fluctuations in the solar wind
• The third-order law for increments in magnetohydrodynamic turbulence with constant shear
• Alternative derivation of exact law for compressible and isothermal magnetohydrodynamics turbulence
• On exact laws in incompressible Hall magnetohydrodynamic turbulence
• Energy cascade rate in isothermal compressible magnetohydrodynamic turbulence
• Local energy transfer rate and kinetic processes: the fate of turbulent energy in two-dimensional Hybrid Vlasov-Maxwell numerical simulations
• Turbulence in the outer heliosphere
• Emergence of isotropy and dynamic scaling in 2D wave turbulence in a homogeneous Bose gas
• Distribution of Magnetic Discontinuities in the Solar Wind and in MHD Turbulence
• 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
• An alternative formulation for exact scaling relations in hydrodynamic and magnetohydrodynamic turbulence
• Self-consistent Castaing distribution of solar wind turbulent fluctuations
• The evolution of compressible solar wind turbulence in the inner heliosphere: PSP, THEMIS and MAVEN observations
• Nonuniversality and finite dissipation in decaying magnetohydrodynamic turbulence
• Energy conversion in turbulent weakly-collisional plasmas: Eulerian Hybrid Vlasov-Maxwell simulations
• Compressible turbulence in the interstellar medium: New insights from a high-resolution supersonic turbulence simulation
• von Kármán-Howarth equation for three-dimensional two-fluid plasmas
• Spectral transfer and Kármán-Howarth-Monin equations for compressible Hall magnetohydrodynamics
• Relationship between polytropic index and temperature anisotropy in space plasmas
• Solar Wind Turbulence Around Mars: Relation Between The Energy Cascade Rate And The Proton Cyclotron Waves Activity
• Universal equation of state for wave turbulence in a quantum gas
• The incompressible energy cascade rate in anisotropic solar wind turbulence
• Modeling Kelvin-Helmholtz instability-driven turbulence with hybrid simulations of Alfvénic turbulence
• Proton-proton collisions in the turbulent solar wind: Hybrid Boltzmann-Maxwell simulations
• Direct Measurement of the Solar-Wind Taylor Microscale using MMS Turbulence Campaign Data
• Third-order structure functions for isotropic turbulence with bidirectional energy transfer
• Exact scaling laws for helical three-dimensional two-fluid turbulent plasmas
• Helios 2 observations of solar wind turbulence decay in the inner heliosphere
• Fast magneto-acoustic wave turbulence and the Iroshnikov-Kraichnan spectrum
• Solar wind collisional heating
• General exact law of compressible isentropic magnetohydrodynamic flows: theory and spacecraft observations in the solar wind
• The signature of evolving turbulence in quiet solar wind as seen by ULYSSES
• Quantifying the Anisotropy and Solar Cycle Dependence of "$1/f$" Solar Wind Fluctuations Observed by Ace
• A Statistical Study of the Compressible Energy Cascade Rate in Solar Wind Turbulence: Parker Solar Probe Observations
• -8/3 spectrum in kinetic Alfvén wave turbulence: implications for the solar wind
• Helical Fluid and (Hall)-MHD Turbulence: a Brief Review
• Local cascade and dissipation in incompressible Hall magnetohydrodynamic turbulence: the Coarse-Graining approach
• Exact law for compressible pressure-anisotropic magnetohydrodynamic turbulence: toward linking energy cascade and instabilities
• Long-time properties of MHD turbulence and the role of symmetries
• Estimation of turbulent heating of solar wind protons at 1AU
• Turbulence and particle energization in twisted flux ropes in solar-wind conditions
• Sign singularity of the local energy transfer in space plasma turbulence
• Probability density functions for the variable solar wind near the solar cycle minimum
• Examination of the four-fifths law for longitudinal third-order moments in incompressible magnetohydrodynamic turbulence in a periodic box
• An in-depth numerical study of exact laws for compressible Hall magnetohydrodynamic turbulence
• Generalized similarity in finite range solar wind magnetohydrodynamic turbulence
• Observation of Inertial-range Energy Cascade within a Reconnection Jet in Earth's Magnetotail
• Turbulence, intermittency and cross-scale energy transfer in an interplanetary coronal mass ejection
• Taylor microscale and effective Reynolds number near the Sun from PSP
• Pseudo-nonstationarity in the scaling exponents of finite interval time series
• Observation of an Inverse Turbulent-Wave Cascade in a Driven Quantum Gas
• Energy transfer, discontinuities and heating in the inner solar wind measured with a weak and local formulation of the Politano-Pouquet law
• Association of intermittency with electron heating in the near-Sun solar wind
• 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
• Local and global properties of energy transfer in models of plasma turbulence
• Taylor's Frozen-in Hypothesis for Magnetohydrodynamic turbulence and Solar Wind
• Observation of Turbulent Magnetohydrodynamic Cascade in the Jovian Magnetosheath
• Third-order Elsässer moments in axisymmetric MHD turbulence
• 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
• Helicity dynamics, inverse and bi-directional cascades in fluid and MHD turbulence: A brief review
• The role of field correlations on turbulent dissipation
• Rugged magneto-hydrodynamic invariants in weakly collisional plasma turbulence: Two-dimensional hybrid simulation results
• Finite Dissipation in Anisotropic Magnetohydrodynamic Turbulence
• Statistical study of electron density turbulence and ion-cyclotron waves in the inner heliosphere: Solar Orbiter observations
• Role of ion acoustic instability in magnetic reconnection
• Current sheets, plasmoids and flux ropes in the heliosphere. Part II: Theoretical aspects
• Probability Density Functions in Homogeneous and Isotropic Magneto-Hydrodynamic Turbulence
• Wave turbulence in magnetohydrodynamics