Force-free magnetic arcades relevant to two-ribbon solar flares

Details Force-free magnetic arcades relevant to two-ribbon solar flares Force-free magnetic arcades relevant to two-ribbon solar flares

Mar 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980soph...65..315p&link_type=abstract

Solar Physics, vol. 65, Mar. 1980, p. 315-346.

Physics

41

Force-Free Magnetic Fields, Magnetic Field Configurations, Photosphere, Solar Flares, Solar Magnetic Field, Atmospheric Models, Differential Equations, Lines Of Force, Magnetohydrodynamic Stability, Shear Properties

Scientific paper

Simple analytic models for the passive evolution of arcade-like magnetic fields through a series of force-free equilibria are presented. At the photospheric boundary, the normal magnetic field component is prescribed together with either the longitudinal field component or the photospheric shear. Analytic progress is made by considering either cylindrically symmetric solutions or using the separation of variables technique. Two distinct cylindrically symmetric force-free fields are obtained that posses the same normal field component and photospheric shear. The second field contains a magnetic bubble. As the shear increases beyond a critical value, so the magnetic energy of the first configuration exceeds that of the second. The possibility is therefore suggested of an eruption of the first field outwards towards the second. Such an eruptive instability is proposed as the origin of a two-ribbon solar flare. A new analytic solution to the force-free field equations, of separable form, is discovered and it is pointed out that the existence of shear in a magnetic field does not preclude it from being potential.

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