Flare build-up in preflare magnetic loops and nonlinear force-free magnetic fields

Physics

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Boundary Value Problems, Force-Free Magnetic Fields, Solar Flares, Solar Magnetic Field, Current Density, Electric Current, Magnetic Flux, Plasma Density, Solar Temperature

Scientific paper

A revised boundary-value problem of the two-dimensional nonlinear force-free magnetic field is solved analytically. Low (1977) had presented two exact analytical solutions in which the preflare phase in the force-free magnetic field was characterized by a discontinuity in the shear, caused by the horizontal photospheric velocity of magnetic field lines along the magnetic neutral line. Results of an extension of Low's study show that preflare magnetic loops evolve from higher magnetic loops when the gradient of B(z) /the magnetic field at the z=O level/ and the shearing increase with time. The density, temperature and electrical current density are all greater in preflare loops than in high-lying loops. It is postulated that these magnetic loops provide conditions for flare eruptions.

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