Equilibrium and non-equilibrium of two-arch structures in the solar atmosphere

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Sun--Solar Activity--Equilibrium--Non-Equilibrium --Nonlinear Differential Equations

Scientific paper

We have derived a similarity solution in the form of a power series of the nonlinear magnetostatic equilibrium equation and identified the region of convergence in the parameter space. Within this region we have equilibrium configurations, outside it, non-equilibrium configurations. An example of nonlinear equilibrium configuration is shown graphically.
Our results can be used to explain the generation of multi-ribbon flares, the two-arch structures and the structures of the magnetic fields above elongated sunspot groups.

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