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Title: Dynamical evolution of twisted magnetic flux tubes. I. Equilibrium and linear stability

Journal Article · · Astrophysical Journal; (USA)
DOI:https://doi.org/10.1086/169232· OSTI ID:6174705
; ;  [1]
  1. Science Applications International Corp., San Diego, CA (USA) California Univ., Irvine (USA)

The three-dimensional dynamical evolution of twisted magnetic flux tubes is studied using a time-dependent magnetohydrodynamic (MHD) model. The flux tubes are intended to model solar coronal loops, and include the stabilizing effect of photospheric line tying. The model permits the complete evolution of flux tubes to be followed self-consistently, including the formation, equilibrium, linear instability, and nonlinear behavior. Starting from an initial uniform background magnetic field, a twisted flux tube is created by the application of slow, localized photospheric vortex flows. The flux tube evolves quasi-statically through sequences of equilibria with increasing twist, until it becomes linearly unstable to an ideal MHD kink mode. In this paper, the equilibrium properties and the linear stability behavior are discussed. The application of the method to the uniform-twist, Gold-Hoyle field confirms the previous stability threshold for kink instability and provides estimates of the resulting growth rate. 29 refs.

OSTI ID:
6174705
Journal Information:
Astrophysical Journal; (USA), Vol. 361; ISSN 0004-637X
Country of Publication:
United States
Language:
English