Some integral properties of two-dimensional force-free fields supporting massive current sheets
Abstract
A set of useful integral relations satisfied by any x-invariant nonlinear force-free field occupying the half-space z greater than zero and supporting a massive current sheet against the action of a vertical gravitational field is derived. These relations are used to prove a nonexistence theorem for the solutions of a boundary value problem which determines the equilibrium of a massive sheet when the amount of mass per unit of flux of the background nonlinear force-free field is given.
- Publication:
-
Astronomy and Astrophysics
- Pub Date:
- March 1988
- Bibcode:
- 1988A&A...193..291A
- Keywords:
-
- Current Sheets;
- Force-Free Magnetic Fields;
- Solar Magnetic Field;
- Solar Prominences;
- Dirac Equation;
- Gravitational Fields;
- Virial Theorem;
- Solar Physics