Minimum quadratic helicity states
Abstract
Building on previous results on the quadratic helicity in magnetohydrodynamics (MHD) we investigate particular minimum helicity states. These are eigenfunctions of the curl operator and are shown to constitute solutions of the quasi-stationary incompressible ideal MHD equations. We then show that these states have indeed minimum quadratic helicity.
- Publication:
-
Journal of Plasma Physics
- Pub Date:
- December 2018
- DOI:
- arXiv:
- arXiv:1806.07428
- Bibcode:
- 2018JPlPh..84f7701A
- Keywords:
-
- astrophysical plasmas;
- plasma dynamics;
- Physics - Fluid Dynamics;
- Astrophysics - Solar and Stellar Astrophysics;
- Mathematics - Differential Geometry
- E-Print:
- 15 pages, 3 figures