Coronal Flux Rope Equilibria in Closed Magnetic Fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Sun: Magnetic Fields, Sun: Corona

Scientific paper

Using a 2.5-dimensional ideal MHD model in Cartesian coordinates, we investigate the equilibrium properties of coronal magnetic flux ropes in background magnetic fields that are completely closed. The background fields are produced by a dipole, a quadrupole, and an octapole, respectively, located below the photosphere at the same depth. A magnetic flux rope is then launched from below the photosphere, and its magnetic properties, i.e., the annular magnetic flux Φp and the axial magnetic flux Φz, are controlled by a single emergence parameter. The whole system eventually evolves into equilibrium, and the resultant flux rope is characterized by three geometrical parameters: the height of the rope axis, the half-width of the rope, and the length of the vertical current sheet below the rope. It is found that the geometrical parameters increase monotonically and continuously with increasing Φp and Φz: no catastrophe occurs. Moreover, there exists a steep segment in the profiles of the geometrical parameters versus either Φp or Φz, and the faster the background field decays with height, the larger both the gradient and the growth amplitude within the steep segment will be.

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