Covariant description of non-relativistic magnetohydrodynamics

Details Covariant description of non-relativistic magnetohydrodynamics Covariant description of non-relativistic magnetohydrodynamics

Oct 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006gapfd.100..485r&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics, vol. 100, Issue 4, p.485-502

Physics

Fluid Dynamics

2

Magnetohydrodynamics, Rotating Fluids, General Tensors

Scientific paper

It has long been known that, when diffusive effects are relatively unimportant, wave motions in rotating fluids can conveniently be described using a hybrid Eulerian/Lagrangian formalism in which the trajectory of a fluid particle is mapped onto a suitably chosen reference trajectory. The transformed equations can represent a mapping to general, time-dependent, non-Euclidean coordinates, for which the techniques of general tensor analysis can be applied. The method is demonstrated here for magnetohydrodynamic (MHD) systems. A generalization of the alpha-effect of mean field electrodynamics is derived, in which ohmic diffusion creates electric currents from magnetic field in the reference system. An analogous effect is identified in which viscous diffusion creates vorticity from velocity in the reference system.

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