Multi-scale Hall-MHD turbulence in the solar wind

Abstract

Solar wind magnetic fluctuation spectra exhibit a significant power law steepening at frequencies f>1Hz. The origin of this multi-scaling is investigated through dispersive Hall magnetohydrodynamics. We perform three-dimensional numerical simulations in the framework of a highly turbulent shell model and show that the large-scale magnetic fluctuations are characterized by a k^-5/3-type spectrum which steepens at scales smaller than the ion inertial length d_i, to k^-7/3 if the magnetic energy overtakes the kinetic energy, or to k^-11/3 in the opposite case. These results are in agreement both with a heuristic description a la Kolmogorov, and with the range of power law indices found in the solar wind.

7 pages, 4 figures

References in corpus (9)

• A weak turbulence theory for incompressible MHD
• Measurement of the electric fluctuation spectrum of magnetohydrodynamic turbulence
• Spectral energy dynamics in magnetohydrodynamic turbulence
• Alfvenic Turbulence in the Extended Solar Corona: Kinetic Effects and Proton Heating
• Wave turbulence in incompressible Hall MHD
• Contribution of cyclotron-resonant damping to kinetic dissipation of interplanetary turbulence
• On spectral scaling laws for incompressible anisotropic MHD turbulence
• A note on shell models for MHD Turbulence
• Direct simulations of helical Hall-MHD turbulence and dynamo action

Cited by in corpus (42)

• Astrophysical gyrokinetics: kinetic and fluid turbulent cascades in magnetized weakly collisional plasmas
• Small Scale Energy Cascade of the Solar Wind Turbulence
• Global scale-invariant dissipation in collisionless plasma turbulence
• Solar wind turbulent spectrum at plasma kinetic scales
• Shell Models of Magnetohydrodynamic Turbulence
• Radial Dependence of the Frequency Break Between Fluid and Kinetic Scales in the Solar Wind Fluctuations
• On the von Karman-Howarth equations for Hall MHD flows
• Spectral Slope Variation at Proton Scales from Fast to Slow Solar Wind
• The Role of Proton-Cyclotron Resonance as a Dissipation Mechanism in Solar Wind Turbulence: A Statistical Study at Ion-Kinetic Scales
• Astrophysical turbulence modeling
• Can Hall Magnetohydrodynamics explain plasma turbulence at sub-ion scales?
• Spectral Features of Magnetic Fluctuations at Proton Scales from Fast to Slow Solar Wind
• Anisotropy of Solar-Wind Turbulence in the Inner Heliosphere at Kinetic Scales: PSP Observations
• Nonlocal resonances in weak turbulence of gravity-capillary waves
• Nonlinear and Linear Timescales near Kinetic Scales in Solar Wind Turbulence
• The dissipation of solar wind turbulent fluctuations at electron scales
• Constraints on ion vs. electron heating by plasma turbulence at low beta
• A Universal Law for Solar-Wind Turbulence at Electron Scales
• The Ion Transition Range of Solar Wind Turbulence in the Inner Heliosphere: Parker Solar Probe Observations
• Spectral features of solar wind turbulent plasma
• Chiral Exact Relations for Helicities in Hall Magnetohydrodynamic Turbulence
• Extended MHD turbulence and its applications to the solar wind
• Non-modal approach to linear theory: marginal stability and the dissipation of turbulent fluctuations
• Exact scaling laws for helical three-dimensional two-fluid turbulent plasmas
• Spacetime Hall-MHD turbulence at sub-ion scales: structures or waves?
• Two-fluid turbulence including electron inertia
• Entanglement of helicity and energy in kinetic Alfven wave/whistler turbulence
• On the structure and statistical theory of turbulence of extended magnetohydrodynamics
• Dependence of Solar Wind Proton Temperature on the Polarisation Properties of Alfvénic Fluctuations at Ion-kinetic Scales
• Phenomenology of turbulent dynamo growth and saturation
• Multiscaling in Hall-Magnetohydrodynamic Turbulence: Insights from a Shell Model
• Hall current effects in mean-field dynamo theory
• Intermittency in Hall-magnetohydrodynamics with a strong guide field
• A heuristic model for MRI turbulent stresses in Hall MHD
• Efficient kinetic Lattice Boltzmann simulation of three-dimensional Hall-MHD Turbulence
• Statistical Properties of three-dimensional Hall Magnetohydrodynamics Turbulence
• Intermittent turbulent dynamo at very low and high magnetic Prandtl numbers
• MHD waves and instabilities in flowing solar structures in the framework of Hall magnetohydrodynamics
• Hall MHD waves: A fundamental departure from their MHD counterparts
• On the contribution of the Hall term in small-scale magnetohydrodynamic dynamo
• Dispersive MHD turbulence in one dimension
• Determining wavenumbers for the incompressible Hall-magneto-hydrodynamics