Conservation of circulation in magnetohydrodynamics

Jacob D. Bekenstein and Asaf Oron
Phys. Rev. E 62, 5594 – Published 1 October 2000
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Abstract

We demonstrate at both the Newtonian and (general) relativistic levels the existence of a generalization of Kelvin’s circulation theorem (for pure fluids) that 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.

  • Received 31 January 2000

DOI:https://doi.org/10.1103/PhysRevE.62.5594

©2000 American Physical Society

Authors & Affiliations

Jacob D. Bekenstein* and Asaf Oron

  • The Racah Institute of Physics, Hebrew University of Jerusalem, Givat Ram, Jerusalem 91904, Israel

  • *Electronic address: bekenste@vms.huji.ac.il
  • Electronic address: asafo@alf.fiz.huji.ac.il

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Vol. 62, Iss. 4 — October 2000

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