On the contribution of the Hall term in small-scale magnetohydrodynamic dynamo
arXiv:2303.07857 · doi:10.1103/PhysRevFluids.8.053701
Abstract
A detailed study of small-scale Hall magnetohydrodynamic dynamo has been performed both analytically and numerically. Assuming the magnetic field and the current to be separate fields, the contribution of the Hall term has been decomposed into two parts and their individual contributions have been studied separately. Calculating the scale-separated transfer rates described in Dar \textit{et. al.} (Physica D, 157 (207), 2001), it is found that the small-scale current fields are the primary contributors in sustaining large scale magnetic fields. Furthermore, the nature of the scale-to-scale fluxes are found to be globally intact with the ion inertial scale.
References in corpus (24)
- Statistical Theory of Magnetohydrodynamic Turbulence: Recent Results
- Dynamo theories
- Current status of turbulent dynamo theory: From large-scale to small-scale dynamos
- Wave turbulence in incompressible Hall MHD
- Energy transfer in two-dimensional magnetohydrodynamic turbulence: formalism and numerical results
- Multi-scale Hall-MHD turbulence in the solar wind
- Shell to shell energy transfer in MHD, Part II: Kinematic dynamo
- Benchmarking and scaling studies of a pseudospectral code Tarang for turbulence simulations
- On the von Karman-Howarth equations for Hall MHD flows
- Energy transfer in Hall-MHD turbulence: cascades, backscatter, and dynamo action
- Can Hall Magnetohydrodynamics explain plasma turbulence at sub-ion scales?
- Energy cascade rate measured in a collisionless space plasma with MMS data and compressible Hall magnetohydrodynamic turbulence theory
- Von Karman-Howarth equation for Hall magnetohydrodynamics: Hybrid simulations
- High performance Python for direct numerical simulations of turbulent flows
- In-situ observation of Hall Magnetohydrodynamic Cascade in Space Plasma
- Direct simulations of helical Hall-MHD turbulence and dynamo action
- Exact law for homogeneous compressible Hall magnetohydrodynamics turbulence
- Energy transfers and magnetic energy growth in small-scale dynamo
- On exact laws in incompressible Hall magnetohydrodynamic turbulence
- Amplification of large-scale magnetic field in nonhelical magnetohydrodynamics
- Chiral Exact Relations for Helicities in Hall Magnetohydrodynamic Turbulence
- Hall-MHD small-scale dynamos
- Hall current effects in mean-field dynamo theory
- On uniqueness of transfer rates in magnetohydrodynamic turbulence