Magnetic equilibrium in coronal arcades

Physics

Scientific paper

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Coronal Loops, Gravitational Effects, Magnetohydrostatics, Solar Corona, Solar Magnetic Field, Beta Factor, Boundary Conditions, Boundary Value Problems, Equilibrium Equations, Photosphere, Solar Atmosphere, Solar Physics

Scientific paper

An analytical solution to the magnetohydrostatic equations is presented that generalizes a solution due to Birn et al. (1978) to include the effect of gravity. There exist two solutions to the same boundary conditions for small base pressures. If the base pressure exceeds a critical value, then 'non-equilibrium' may occur and initiate a two-ribbon flare.

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