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 (9)
- Current status of turbulent dynamo theory: From large-scale to small-scale dynamos
- Wave turbulence in incompressible Hall MHD
- Multi-scale Hall-MHD turbulence in the solar wind
- On the von Karman-Howarth equations for Hall MHD flows
- Energy cascade rate measured in a collisionless space plasma with MMS data and compressible Hall magnetohydrodynamic turbulence theory
- Exact law for homogeneous compressible Hall magnetohydrodynamics turbulence
- Amplification of large-scale magnetic field in nonhelical magnetohydrodynamics
- Hall current effects in mean-field dynamo theory
- On uniqueness of transfer rates in magnetohydrodynamic turbulence