Extended MHD turbulence and its applications to the solar wind

Abstract

Extended MHD is a one-fluid model that incorporates two-fluid effects such as electron inertia and the Hall drift. This model is used to construct fully nonlinear Alfvénic wave solutions, and thereby derive the kinetic and magnetic spectra by resorting to a Kolmogorov-like hypothesis based on the constant cascading rates of the energy and generalized helicities of this model. The magnetic and kinetic spectra are derived in the ideal $\left(k<1/{\lambda }_i\right)$, Hall $\left(1/{\lambda }_i<k<1/{\lambda }_e\right)$, and electron inertia $\left(k>1/{\lambda }_e\right)$ regimes; $k$ is the wavenumber and ${\lambda }_s=c/{\omega }_{ps}$ is the skin depth of species `$s$'. In the Hall regime, it is shown that the emergent results are fully consistent with previous numerical and analytical studies, especially in the context of the solar wind. The focus is primarily on the electron inertia regime, where magnetic energy spectra with power-law indexes of $-11/3$ and $-13/3$ are always recovered. The latter, in particular, is quite close to recent observational evidence from the solar wind with a potential slope of approximately $-4$ in this regime. It is thus plausible that these spectra may constitute a part of the (extended) inertial range, as opposed to the standard `dissipation' range paradigm.

arXiv comment15 pages; 4 figures; accepted for publication in ApJ (2016)

References in corpus (37)

• Astrophysical gyrokinetics: kinetic and fluid turbulent cascades in magnetized weakly collisional plasmas
• Universality of solar wind turbulent spectrum from MHD to electron scales
• A Model of Turbulence in Magnetized Plasmas: Implications for the Dissipation Range in the Solar Wind
• Solar Wind Turbulence and the Role of Ion Instabilities
• Thanatology in Protoplanetary Discs: the combined influence of Ohmic, Hall, and ambipolar diffusion on dead zones
• Small Scale Energy Cascade of the Solar Wind Turbulence
• Gyrokinetic Simulations of Solar Wind Turbulence from Ion to Electron Scales
• Magnetic fields in protoplanetary disks
• Incorporating Kinetic Physics into a Two-Fluid Solar-Wind Model with Temperature Anisotropy and Low-Frequency Alfven-Wave Turbulence
• Magnetic Field Evolution in Neutron Star Crusts due to the Hall Effect and Ohmic Decay
• The Nature of Subproton Scale Turbulence in the Solar Wind
• Solar wind turbulent spectrum at plasma kinetic scales
• Wave turbulence in incompressible Hall MHD
• Scaling of the electron dissipation range of solar wind turbulence
• Multi-scale Hall-MHD turbulence in the solar wind
• Multiscale nature of the dissipation range in gyrokinetic simulations of Alfvénic turbulence
• High-resolution hybrid simulations of kinetic plasma turbulence at proton scales
• New insight into short wavelength solar wind fluctuations from Vlasov theory
• A Weakened Cascade Model for Turbulence in Astrophysical Plasmas
• Spectral scaling laws in MHD turbulence simulations and in the solar wind
• Vlasov simulations of multi-ion plasma turbulence in the solar wind
• A Kinetic Alfven wave cascade subject to collisionless damping cannot reach electron scales in the solar wind at 1 AU
• Kinetic cascade beyond magnetohydrodynamics of solar wind turbulence in two-dimensional hybrid simulations
• Subproton-scale cascades in solar wind turbulence: driven hybrid-kinetic simulations
• Hamiltonian Formalism of Extended Magnetohydrodynamics
• The dissipation of solar wind turbulent fluctuations at electron scales
• Acceleration of Plasma Flows Due to Reverse Dynamo Mechanism
• Action Principles for Extended MHD Models
• Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics
• A model for the non-universal power-law of the solar wind sub-ion scale magnetic spectrum
• A Universal Law for Solar-Wind Turbulence at Electron Scales
• Modeling astrophysical outflows via the unified Dynamo-Reverse Dynamo mechanism
• Spectral breaks of Alfvenic turbulence in a collisionless plasma
• Comparative study of gyrokinetic, hybrid-kinetic and fully kinetic wave physics for space plasmas
• Two-fluid turbulence including electron inertia
• Nonlinear Alfvén waves in extended magnetohydrodynamics
• A heuristic model for MRI turbulent stresses in Hall MHD

Cited by in corpus (19)

• The interplay of magnetically-dominated turbulence and magnetic reconnection in producing nonthermal particles
• Fluid and gyrofluid modeling of low-${\beta }_e$ plasmas: phenomenology of kinetic Alfvén wave turbulence
• Electron-scale reduced fluid models with gyroviscous effects
• Imbalanced kinetic Alfvén wave turbulence: from weak turbulence theory to nonlinear diffusion models for the strong regime
• Kinetic range spectral features of cross-helicity using MMS
• Exact scaling laws for helical three-dimensional two-fluid turbulent plasmas
• On the structure and statistical theory of turbulence of extended magnetohydrodynamics
• Structure and computation of two-dimensional incompressible extended MHD
• Inverse cascade and magnetic vortices in kinetic Alfvén-wave turbulence
• Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales
• Chirality, extended MHD statistics and solar wind turbulence
• On the quadruple Beltrami fields in thermally relativistic electron-positron-ion plasma
• Group properties and solutions for the 1D Hall MHD system in the cold plasma approximation
• Hall MHD waves: A fundamental departure from their MHD counterparts
• Hamiltonian formulation of X-point collapse in an extended magnetohydrodynamics framework
• Quadruple Beltrami field structures in electron-positron multi-ion plasma
• A new and alternative look at NonLinear Alfvénic States
• Yet Another Modification of Relativistic Magnetohydrodynamic Waves: Electron Thermal Inertia
• Incompressible Extended Magnetohydrodynamics Waves: Implications of Electron Inertia