Phenomenologies of intermittent Hall MHD turbulence
arXiv:2012.10781
Abstract
We introduce the concept of intermittency dimension for the magnetohydrodynamics (MHD) to quantify the intermittency effect. With dependence on the intermittency dimension, we derive phenomenological laws for intermittent MHD turbulence with and without the Hall effect. In particular, scaling laws of dissipation wavenumber, energy spectra and structure functions are predicted. Moreover, we are able to provide estimates for energy spectra and structure functions which are consistent with the predicted scalings.
arXiv comment27 pages, 6 figures
References in corpus (15)
- The multifractal nature of turbulent energy dissipation
- Spectrum of magnetohydrodynamic turbulence
- Simulations of Incompressible MHD Turbulence
- MHD Turbulence Revisited
- Dynamic Alignment in Driven Magnetohydrodynamic Turbulence
- Statistical anisotropy of magnetohydrodynamic turbulence
- General Theory of the Plasmoid Instability
- A statistical model of three-dimensional anisotropy and intermittency in strong Alfvénic turbulence
- On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations
- Dynamic Alignment and Exact Scaling Laws in MHD Turbulence
- Basic Properties of MHD Turbulence in the Inertial Range
- Generation of large-scale magnetic fields by small-scale dynamo in shear flows
- Determining modes for the 3D Navier-Stokes equations
- Non-unique weak solutions in Leray-Hopf class of the 3D Hall-MHD system
- Regularity criteria for the 3D Navier-Stokes and MHD equations