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Effect of pressure gradients and line-tying on the magnetic stability of coronal loops
Authors:A W Hood  E R Priest  G Einaudi
Institution:1. Department of Mathematics , Napier College , Colinton Road, Edinburgh, Scotland;2. Applied Mathematics Department , The University , St. Andrews, Scotland;3. Scuola Normale Superiore , Piazza dei Cavalieri,7, Pisa, 56100, Italy
Abstract:Abstract

In this paper we study the stability of an idealised magnetostatic coronal loop, incorporating both the effect of line-tying, due to the dense photosphere, and of pressure gradients. The stability equations may be solved analytically for our particular equilibrium. From the marginally stable case, the critical conditions separating instability from stability are derived. It is found that stretching or twisting a loop eventually makes it kink unstable.
Keywords:Baroclinic Rossby waves  zonal current  
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