Determing Flow Fields Consistent with Vector Magnetic Evolution

Physics

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Scientific paper

Sequences of photospheric vector magnetograms can be used to drive time-dependent models of magnetic evolution in the overlying atmosphere, as well as to investigate dynamics in the atmospheric layer imaged in the magnetograms. While several methods of estimating electric fields consistent with the observed evolution of the magnetic field normal to the magnetogram surface have been developed, these do not explicitly employ evolution of the horizontal field components in deriving electric fields. The recently developed poloidal- toroidal decomposition (PTD) method (Fisher et al. 2010) does use this extra information; PTD electric fields, however, are generally not ideal, so ideality must be imposed post facto. Here, we present formalism for deriving ideal electric fields consistent with vector magnetic evolution, assuming that the induction equation in the MHD approximation governs the magnetic evolution; accordingly, we term the approach "inductive vector driving", or IVD. This formalism can incorporate explicit resistive terms. Moreover, IVD allows direct inclusion of results from tracking methods, which can provide additional information regarding photospheric evolution. This work is supported by NASA's Heliophysics Theory Program and NSF's SHINE program.

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