Coexistence of weak and strong wave turbulence in incompressible Hall magnetohydrodynamics

Abstract

We report a numerical investigation of three dimensional, incompressible, Hall magnetohydrodynamic turbulence with a relatively strong mean magnetic field. Using helicity decomposition and cross-bicoherence analysis, we observe that the resonant three--wave coupling is substantial among ion cyclotron and whistler waves. A detailed study of the degree of non-linearity of these two populations shows that the ion cyclotron component experiences a transition from weak to strong wave turbulence going from large to small scales, while the whistler fluctuations display a weak wave turbulence character for all scales. This non-trivial coexistence of the two regimes with the two populations of waves gives rise to anomalous anisotropy and scaling properties. The weak and strong wave turbulence components can be distinguished rather efficiently using spatio-temporal Fourier transforms. The analysis shows that while resonant triadic interactions survive the highly non-linear bath of ion cyclotron fluctuations at large scales for which the degree of non-linearity is low for both populations of waves, whistler waves tend to be killed by the non-linear cross-coupling at smaller scales where the ion cyclotron component is in the strong wave turbulent regime. Such situation may have far-reaching implications for the physics of magnetized turbulence in many astrophysical and space plasmas where different waves coexist and compete to transfer non-linearly energy across scales.

References in corpus (24)

• Astrophysical gyrokinetics: kinetic and fluid turbulent cascades in magnetized weakly collisional plasmas
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• A weak turbulence theory for incompressible MHD
• Simulations of Incompressible MHD Turbulence
• Universality of solar wind turbulent spectrum from MHD to electron scales
• The Anisotropy of Electron MHD Turbulence
• Wave turbulence in incompressible Hall MHD
• Magnetic self-organisation in Hall-dominated magnetorotational turbulence
• Simulations of Electron Magnetohydrodynamic Turbulence
• Wave turbulence and vortices in Bose-Einstein condensation
• New insight into short wavelength solar wind fluctuations from Vlasov theory
• Are there waves in elastic wave turbulence ?
• Energy transfer in Hall-MHD turbulence: cascades, backscatter, and dynamo action
• Direct Evidence of the Transition from Weak to Strong MHD Turbulence
• Hall Attractor in Axially Symmetric Magnetic Fields in Neutron Star Crusts
• The Wisconsin Plasma Astrophysics Laboratory
• Turbulence of Weak Gravitational Waves in the Early Universe
• Nonlocal resonances in weak turbulence of gravity-capillary waves
• Wave turbulence in Bose-Einstein condensates
• The Madison plasma dynamo experiment: a facility for studying laboratory plasma astrophysics
• Limitations of Hall MHD as a model for turbulence in weakly collisional plasmas
• Weak turbulence theory for rotating magnetohydrodynamics and planetary dynamos
• Entanglement of helicity and energy in kinetic Alfven wave/whistler turbulence
• Reduction of compressibility and parallel transfer by Landau damping in turbulent magnetized plasmas

Cited by in corpus (8)

• Direct Evidence of a Dual Cascade in Gravitational Wave Turbulence
• Diffusion of large-scale magnetic fields by reconnection in MHD turbulence
• Statistical Properties of three-dimensional Hall Magnetohydrodynamics Turbulence
• Energy-based analysis and anisotropic spectral distribution of internal gravity waves in strongly stratified turbulence
• Inverse cascade of hybrid helicity in $B\Omega$-MHD turbulence
• Rotating magnetohydrodynamic turbulence
• Varieties of scaling regimes in hydromagnetic turbulence
• A new and alternative look at NonLinear Alfvénic States