Energy transfer in Hall-MHD turbulence: cascades, backscatter, and dynamo action
arXiv:physics/0510053 · doi:10.1017/S0022377806004624
Abstract
Scale interactions in Hall MHD are studied using both the mean field theory derivation of transport coefficients, and direct numerical simulations in three space dimensions. In the magnetically dominated regime, the eddy resistivity is found to be negative definite, leading to large scale instabilities. A direct cascade of the total energy is observed, although as the amplitude of the Hall effect is increased, backscatter of magnetic energy to large scales is found, a feature not present in MHD flows. The coupling between the magnetic and velocity fields is different than in the MHD case, and backscatter of energy from small scale magnetic fields to large scale flows is also observed. For the magnetic helicity, a strong quenching of its transfer is found. We also discuss non-helical magnetically forced Hall-MHD simulations where growth of a large scale magnetic field is observed.
arXiv comment25 pages, 16 figures
References in corpus (15)
- Astrophysical magnetic fields and nonlinear dynamo theory
- The inverse cascade and nonlinear alpha-effect in simulations of isotropic helical hydromagnetic turbulence
- Linear Analysis of the Hall Effect in Protostellar Disks
- Statistical Theory of Magnetohydrodynamic Turbulence: Recent Results
- A New Dynamical Mean-Field Dynamo Theory and Closure Approach
- The Joint Cascade of Energy and Helicity in Three-Dimensional Turbulence
- The Effect of the Hall Term on the Nonlinear Evolution of the Magnetorotational Instability: I. Local Axisymmetric Simulations
- The imprint of large-scale flows on turbulence
- Intermittency in the Joint Cascade of Energy and Helicity
- Turbulent Dynamos and Magnetic Helicity
- Direct simulations of helical Hall-MHD turbulence and dynamo action
- Acceleration of Plasma Flows Due to Reverse Dynamo Mechanism
- Resolution of an ambiguity in dynamo theory and its consequences for back reaction studies
- Dynamo action in turbulent flows
- Waves, Coriolis force and the dynamo effect
Cited by in corpus (34)
- Scale interactions in magnetohydrodynamic turbulence
- Chiral Exact Relations for Helicities in Hall Magnetohydrodynamic Turbulence
- von Kármán-Howarth equation for three-dimensional two-fluid plasmas
- Spectral transfer and Kármán-Howarth-Monin equations for compressible Hall magnetohydrodynamics
- Exact scaling laws for helical three-dimensional two-fluid turbulent plasmas
- Driven Multifluid MHD Molecular Cloud Turbulence
- Hall-MHD small-scale dynamos
- Entanglement of helicity and energy in kinetic Alfven wave/whistler turbulence
- On the structure and statistical theory of turbulence of extended magnetohydrodynamics
- Helical Fluid and (Hall)-MHD Turbulence: a Brief Review
- Multiscaling in Hall-Magnetohydrodynamic Turbulence: Insights from a Shell Model
- Hall current effects in mean-field dynamo theory
- Sign singularity and flares in solar active region NOAA 11158
- Multifluid magnetohydrodynamic turbulent decay
- Intermittency in Hall-magnetohydrodynamics with a strong guide field
- Inverse cascade and magnetic vortices in kinetic Alfvén-wave turbulence
- Formation and Evolution of Coherent Structures in 3D Strongly Turbulent Magnetized Plasmas
- Coexistence of weak and strong wave turbulence in incompressible Hall magnetohydrodynamics
- Non-ideal MHD turbulent decay in molecular clouds
- Differential-geometrical approach to the dynamics of dissipationless incompressible Hall magnetohydrodynamics I: Lagrangian mechanics on semidirect product of two volume preserving diffeomorphisms and conservation laws
- Statistical Properties of three-dimensional Hall Magnetohydrodynamics Turbulence
- Energy spectrum, dissipation and spatial structures in reduced Hall magnetohydrodynamic
- Hall MHD waves: A fundamental departure from their MHD counterparts
- On the contribution of the Hall term in small-scale magnetohydrodynamic dynamo
- Differential-geometrical approach to the dynamics of dissipationless incompressible Hall magnetohydrodynamics: II. Geodesic formulation and Riemannian curvature analysis of hydrodynamic and magnetohydrodynamic stabilities
- Multiscale structures in three species magnetoplasmas with two positive ions
- Existence, regularity and uniqueness of weak solutions with bounded magnetic fields to the steady Hall-MHD system
- On the mean field dynamo with Hall effect
- Kelvin-Helmholtz versus Hall Magneto-shear instability in astrophysical flows
- Rugged magneto-hydrodynamic invariants in weakly collisional plasma turbulence: Two-dimensional hybrid simulation results
- Electromotive field in space and astrophysical plasmas
- The role of field correlations on turbulent dissipation
- Wave turbulence in magnetohydrodynamics
- Discrete Symmetries in Dynamo Reversals