Inertial magnetohydrodynamics
arXiv:1410.8152 · doi:10.1016/j.physleta.2014.12.008
Abstract
A version of extended magnetohydrodynamics (MHD) that incorporates electron inertia is obtained by constructing an action principle. Unlike MHD which freezes in magnetic flux, the present theory freezes in an alternative flux related to the electron canonical momentum. The associated Hamiltonian formulation is derived and reduced models that have previously been used to describe collisionless reconnection are obtained.
8 pages
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Cited by in corpus (17)
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- Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics
- Derivation of the Hall and Extended Magnetohydrodynamics Brackets
- A General Metriplectic Framework with Application to Dissipative Extended Magnetohydrodynamics
- Action Principles for Relativistic Extended Magnetohydrodynamics: A Unified Theory of Magnetofluid Models
- Collisionless Magnetic Reconnection in Curved Spacetime and the Effect of Black Hole Rotation
- On the structure and statistical theory of turbulence of extended magnetohydrodynamics
- Structure and computation of two-dimensional incompressible extended MHD
- Hamiltonian Magnetohydrodynamics: Lagrangian, Eulerian, and Dynamically Accessible Stability -- Examples with Translation Symmetry
- Nonlinear Resistivity for Magnetohydrodynamical Models
- Variational Integrators for Inertial Magnetohydrodynamics
- Energy-Casimir, dynamically accessible, and Lagrangian stability of extended magnetohydrodynamic equilibria
- Translationally symmetric extended MHD via Hamiltonian reduction: Energy-Casimir equilibria
- Modification of magnetohydrodynamic waves by the relativistic Hall effect
- Helically symmetric extended magnetohydrodynamics: Hamiltonian formulation and equilibrium variational principles
- Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales
- A class of three-dimensional gyroviscous magnetohydrodynamic models