Exact scaling laws for helical three-dimensional two-fluid turbulent plasmas
arXiv:1608.08366 · doi:10.1103/PhysRevE.94.063206
Abstract
We derive exact scaling laws for a three-dimensional incompressible helical two-fluid plasma, without the assumption of isotropy. For each ideal invariant of the two-fluid model, i.e. the total energy, the electron helicity and the proton helicity, we derive simple scaling laws in terms of two-point increments correlation functions expressed in terms of the velocity field of each species and the magnetic field. These variables are appropriate for comparison with \textit{in-situ} measurements in the solar wind at different spatial ranges and data from numerical simulations. Finally, with the exact scaling laws and dimensional analysis we predict the magnetic energy and electron helicity spectra for different ranges of scales.
arXiv comment1 Figure
References in corpus (30)
- Astrophysical gyrokinetics: kinetic and fluid turbulent cascades in magnetized weakly collisional plasmas
- Universality of solar wind turbulent spectrum from MHD to electron scales
- Observation of inertial energy cascade in interplanetary space plasma
- Exact relation for correlation functions in compressible isothermal turbulence
- The Joint Cascade of Energy and Helicity in Three-Dimensional Turbulence
- Growing condensate in two-dimensional turbulence
- Solar wind turbulent spectrum at plasma kinetic scales
- Scaling of the electron dissipation range of solar wind turbulence
- Finite dissipation and intermittency in magnetohydrodynamics
- Exact Relation with Two-point Correlation Functions and Phenomenological Approach for Compressible Magnetohydrodynamic Turbulence
- Multi-scale Hall-MHD turbulence in the solar wind
- Scaling Laws of Turbulence and Heating of Fast SolarWind: The Role of Density Fluctuations
- On the von Karman-Howarth equations for Hall MHD flows
- Intermittency in the Joint Cascade of Energy and Helicity
- Kinetic Turbulence in the Terrestrial Magnetosheath: Cluster Observations
- Energy transfer in Hall-MHD turbulence: cascades, backscatter, and dynamo action
- On the Interpretation of Magnetic Helicity Signatures in the Dissipation Range of Solar Wind Turbulence
- A Universal Law for Solar-Wind Turbulence at Electron Scales
- An alternative formulation for exact scaling relations in hydrodynamic and magnetohydrodynamic turbulence
- Chiral Exact Relations for Helicities in Hall Magnetohydrodynamic Turbulence
- Extended MHD turbulence and its applications to the solar wind
- von Kármán-Howarth equation for three-dimensional two-fluid plasmas
- The reflection-antisymmetric counterpart of the Kármán-Howarth dynamical equation
- Inertial Range Scaling, Karman-Howarth Theorem and Intermittency for Forced and Decaying Lagrangian Averaged MHD in 2D
- Two-fluid turbulence including electron inertia
- Entanglement of helicity and energy in kinetic Alfven wave/whistler turbulence
- Kármán--Howarth Theorem for the Lagrangian averaged Navier-Stokes alpha model
- Effects of electron inertia in collisionless magnetic reconnection
- Multiscaling in Hall-Magnetohydrodynamic Turbulence: Insights from a Shell Model
- Influence of the Hall effect and electron inertia in collisionless magnetic reconnection
Cited by in corpus (13)
- Alternative derivation of exact law for compressible and isothermal magnetohydrodynamics turbulence
- Energy cascade rate in isothermal compressible magnetohydrodynamic turbulence
- The Ion Transition Range of Solar Wind Turbulence in the Inner Heliosphere: Parker Solar Probe Observations
- The evolution of compressible solar wind turbulence in the inner heliosphere: PSP, THEMIS and MAVEN observations
- Electron-scale reduced fluid models with gyroviscous effects
- Interplay between Alfvén and magnetosonic waves in compressible magnetohydrodynamics turbulence
- Solar Wind Turbulence Around Mars: Relation Between The Energy Cascade Rate And The Proton Cyclotron Waves Activity
- 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
- Exact law for compressible pressure-anisotropic magnetohydrodynamic turbulence: toward linking energy cascade and instabilities
- Statistics of incompressible hydrodynamic turbulence: an alternative approach
- Compressible helical turbulence: Fastened-structure geometry and statistics
- Impact of pressure anisotropy on the cascade rate of Hall-MHD turbulence with biadiabatic ions