## The form of ideal current layers and kink instability in line-tied coronal loops
We have investigated the characteristics of the current concentration which develops when an unstable line-tied coronal loop is driven by an ideal kink instability towards a secondary bifurcated magnetohydrodynamic (MHD) equilibrium. Using fully three dimensional MHD simulations in cylindrical geometry, the main results indicate an algebraic linear-like dependence of the thickness and amplitude of the current concentration on the aspect ratio of the loop. A simple model is proposed, which interprets this scaling in terms of the axial field line bending effect due to the line-tying constraints in the kinked configuration. Indeed, a curvature force term arises and prevents the formation of a current sheet, which is known to develop in un-tied configuration. For the typical parameters of observed loops, the thickness of the current layer is approximately two or three orders of magnitude smaller than the length scale of the initial equilibrium. Finally, we discuss the subsequent current dissipation and the efficiency with which such a mechanism can heat the corona.
## Contents- 1. Introduction
- 2. Physical model
- 2.1. Equations
- 2.2. The numerical procedure
- 3. Equilibrium, stability, and linear phase
- 3.1. Equilibrium
- 3.2. Stability
- 3.3. Linear properties of the kink mode
- 4. The non linear development of the kink instability
- 4.1. Simulation results
- 4.2. Interpretation
- 4.3. Initial equilibrium profiles effects
- 5. Discussion
- Acknowledgements
- References
© European Southern Observatory (ESO) 1997 Online publication: July 8, 1998 |