MHD equilibrium and stability properties of a bipolar current loop

Physics

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Coronal Loops, Magnetohydrodynamic Stability, Solar Atmosphere, Atmospheric Electricity, Bipolarity, Current Density, Equilibrium Equations

Scientific paper

An investigation is made of the equilibrium and stability properties of a semitoroidal current loop embedded in a high-temperature plasma. The loop has a toroidal current density and a poloidal current density. By explicitly including the global curvature of the loop, a calculation is made of the net Lorentz and pressure forces acting along the major radius. The requirements of equilibrium force-balance leads to conditions that must be satisfied by the physical parameter and geometry. On the basis of these conditions, a class of equilibrium semitoroidal current loops satisfying the equation treated by Chiuderi et al. (1977) and by Hood and Priest (1979) is deduced. The average pressure inside the loop is found to be less than the ambient coronal pressure in equilibrium. What is more, this class of equilibria is shown to be stable to a number of destructive MHD modes. The theoretical results are discussed in relation to solar bipolar current loops.

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