Magnetohydrodynamics in the extreme relativistic limit

Details Magnetohydrodynamics in the extreme relativistic limit Magnetohydrodynamics in the extreme relativistic limit

Mar 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phrvd..57.3219t&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 57, Issue 6, 15 March 1998, pp.3219-3234

Mathematics

Logic

81

Magnetohydrodynamics And Plasmas, Nonlinear Or Nonlocal Theories And Models, Extended Classical Solutions, Cosmic Strings, Domain Walls, Texture, Magnetohydrodynamic Waves

Scientific paper

We present two new formulations of magnetohydrodynamics (MHD), in the limit where the inertia of the charge carriers can be neglected. The first employs Lagrangian coordinates and generalizes Newcomb's formalism to allow for a variable time slicing. It contains an extremely simple prescription for generalizing the action of a relativistic Nambu-Goto string to four dimensions. It is also related by a duality transformation to the action presented by Achterberg. This transformation causes the perturbed and unperturbed Lagrangian coordinates to exchange roles as dynamical fields and background spacetime. Our second formulation introduces massless electrically charged fermions as the current carrying modes, and considers long wavelength perturbations with ω2,k2⊥<

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