Extended massive current sheet in a two-dimensional constant-alpha force-free field - A model for quiescent prominences. I - Theory

Astronomy and Astrophysics – Astrophysics

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Force-Free Magnetic Fields, Magnetohydrodynamics, Solar Corona, Solar Magnetic Field, Solar Prominences, Boundary Value Problems, Current Sheets, Gravitational Fields, Magnetostatics, Two Dimensional Models, Magnetohydrodynamics, Sun: Magnetic Field, Sun: Corona, Sun: Prominences

Scientific paper

We present an analytical model of extended massive current sheet Σ in equilibrium in a 2 D x-invariant constant-α force-free field, and a vertical gravitational field. We show in particular that there is a maximal mass that can be supported by the magnetic field and that the topology of the field lines is always of the "Kippenhahn-Schlüter" type. This model can be used to describe the magnetic support of solar quiescent prominences. This work is an extension of Amari and Aly (1989) in which the simpler approximation of a prominence by a filament was considered.

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