Incompressible Extended Magnetohydrodynamics Waves: Implications of Electron Inertia
arXiv:2605.10697 · doi:10.1063/5.0226009
Abstract
This paper explores plasma wave modes using the extended magnetohydrodynamics (XMHD) model, incorporating Hall drift and electron inertia effects. We utilize the geometric optics ansatz to study perturbed quantities, with a focus on incompressible systems. Our research concludes with the derivation of the dispersion relation for incompressible XMHD and the associated eigenvector solutions, offering new perspectives on plasma wave behavior under these extended scenarios. The dispersion relation shows distinct ion cyclotron and whistler wave branches, with characteristic saturation at the ion and electron gyrofrequencies, respectively. Comparisons between Hall MHD and XMHD demonstrate that XMHD provides a more accurate representation of plasma dynamics, especially at higher wave numbers, bridging the gap between simplified models and comprehensive two-fluid descriptions and smoothing out singularities present in Hall MHD solutions and capturing more physics of the full two-fluid model.
12 pages, 2 figures
References in corpus (30)
- Electron-Scale Dynamics of the Diffusion Region during Symmetric Magnetic Reconnection in Space
- Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma
- Magnetic reconnection in the era of exascale computing and multiscale experiments
- Atmospheric Escape Processes and Planetary Atmospheric Evolution
- Resonant Absorption of Transverse Oscillations and Associated Heating in a Solar Prominence. I- Observational aspects
- Magnetospheric Multiscale Dayside Reconnection Electron Diffusion Region Events
- Compressible magnetohydrodynamic turbulence in the Earth's magnetosheath: estimation of the energy cascade rate using in situ spacecraft data
- Magnetohydrodynamic kink waves in nonuniform solar flux tubes: phase mixing and energy cascade to small scales
- Energy cascade rate measured in a collisionless space plasma with MMS data and compressible Hall magnetohydrodynamic turbulence theory
- Nature of the MHD and kinetic scale turbulence in the magnetosheath of Saturn: Cassini observations
- Incompressive Energy Transfer in the Earth's Magnetosheath: Magnetospheric Multiscale Observations
- Solar Wind Turbulence Studies using MMS Fast Plasma Investigation Data
- Hamiltonian Formalism of Extended Magnetohydrodynamics
- On energy conservation in extended magnetohydrodynamics
- Acceleration of Plasma Flows Due to Reverse Dynamo Mechanism
- Action Principles for Extended MHD Models
- Dispersion Relations and Polarizations of Low-frequency Waves in Two-fluid Plasmas
- Understanding uniturbulence: self-cascade of MHD waves in the presence of inhomogeneities
- Modeling astrophysical outflows via the unified Dynamo-Reverse Dynamo mechanism
- Extended MHD turbulence and its applications to the solar wind
- Two-fluid turbulence including electron inertia
- Nonlinear Alfvén waves in extended magnetohydrodynamics
- Effects of electron inertia in collisionless magnetic reconnection
- A two-fluid analysis of waves in a warm ion-electron plasma
- Structure and computation of two-dimensional incompressible extended MHD
- Influence of the Hall effect and electron inertia in collisionless magnetic reconnection
- II. The effect of axisymmetric and spatially varying equilibria and flow on MHD wave modes: Cylindrical geometry
- A heuristic model for MRI turbulent stresses in Hall MHD
- Modification of magnetohydrodynamic waves by the relativistic Hall effect
- Giant overreflection of magnetohydrodynamic waves from inhomogeneous plasmas with nonuniform shear flows