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
References in corpus (5)
- On energy conservation in extended magnetohydrodynamics
- Action Principles for Extended MHD Models
- Hamiltonian magnetohydrodynamics: symmetric formulation, Casimir invariants, and equilibrium variational principles
- Hamiltonian and action formalisms for two-dimensional gyroviscous MHD
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Cited by in corpus (5)
- Hamiltonian Formalism of Extended Magnetohydrodynamics
- Action Principles for Relativistic Extended Magnetohydrodynamics: A Unified Theory of Magnetofluid Models
- 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