Axisymmetric magnetofluidistatic (MFS) equilibria of solar coronal loops: an integral equation approach

Physics

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Coronal Loops, Integral Equations, Magnetostatics, Solar Corona, Variational Principles, Extremum Values, Magnetic Field Configurations, Plasma Pinch, Solar Magnetic Field

Scientific paper

The equilibrium magnetofluidostatic (MFS) problem is formulated as an extremum problem for the energy integral. The resulting equations, obtained from general theorems of the calculus of variations, are transformed into integral equations, and these, together with conditions specifying the position of the feet of the field line, form a system of integral equations. Previously known configurations, like the pinch, are easily found with this method, which allows the analysis of two dimensional configurations of general aspect. The intrinsic limits of this method and the fundamental aspects of the MFS problem for coronal loops are discussed.

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