Conservation of Circulation in Magnetohydrodynamics
Astrophysics
2009-10-31 v2 General Relativity and Quantum Cosmology
Fluid Dynamics
Plasma Physics
Abstract
We demonstrate, both at the Newtonian and (general) relativistic levels, the existence of a generalization of Kelvin's circulation theorem (for pure fluids) which is applicable to perfect magnetohydrodynamics. The argument is based on the least action principle for magnetohydrodynamic flow. Examples of the new conservation law are furnished. The new theorem should be helpful in identifying new kinds of vortex phenomena distinct from magnetic ropes or fluid vortices.
Keywords
Cite
@article{arxiv.astro-ph/0002045,
title = {Conservation of Circulation in Magnetohydrodynamics},
author = {Jacob D. Bekenstein and Asaf Oron},
journal= {arXiv preprint arXiv:astro-ph/0002045},
year = {2009}
}
Comments
RevTeX, 17 pages, elaboration on the meaning of the vector tau; corrected references. To appear in Physical Review E, Oct. 2000