The Stability of 2d Current Sheet Models of Prominences
Abstract
A necessary and sufficient condition for the ideal magnetohydrodynamic stability of 2D current sheet models of prominences suspended in a potential coronal field with line-tying is developed using the energy method. This condition takes the form of two simple coupled second-order differential equations which may be integrated along a field line to find marginal stability. The two conditions (85) and (86) of Anzer (1969) are now only sufficient for stability. Two current sheet models are investigated and it is shown that for a potential coronal field allowing perturbed electric currents to flow, line-tying can completely stabilize the equilibria for realistic heights.
- Publication:
-
Solar Physics
- Pub Date:
- January 1994
- DOI:
- 10.1007/BF00645179
- Bibcode:
- 1994SoPh..149...73L
- Keywords:
-
- Current Sheets;
- Magnetohydrodynamic Stability;
- Potential Fields;
- Solar Corona;
- Solar Magnetic Field;
- Solar Prominences;
- Stability;
- Stellar Models;
- Two Dimensional Models;
- Differential Equations;
- Electric Current;
- Equilibrium Equations;
- Magnetic Field Configurations;
- Numerical Analysis;
- Solar Physics