Magnetostatic relations including fluctuation fields - The local expansion

Astronomy and Astrophysics – Astronomy

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Magnetic Variations, Magnetohydrodynamic Turbulence, Magnetostatic Fields, Turbulence Effects, Electromotive Forces, Expansion, Magnetic Induction, Reynolds Stress, Solar Magnetic Field, Stellar Magnetic Fields

Scientific paper

The force-free magnetostatic field of an atmosphere with conventional turbulence is investigated analytically in the local-expansion approximation, generalizing the results of Hu (1983). The equations for the fluctuation field are presented; the resultant fluctuation momentum and induction equations, truncated by the first-order smooth approximation, are shown to be consistent; the average fluctuation Lorentz force and electromotive force are obtained; the local expansion is applied to reduce the basic equation for the equilibrium magnetostatic configuration to the conservation equation for three electromotive forces, the Lorentz force, the pressure gradient, and gravity; and the two-dimensional magnetic-field configuration is characterized. The implications of the present analysis for studies of solar and stellar magnetic-field structures and solar-flare processes are indicated.

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