Alpha-effect in flux ropes and sheets

Physics

Scientific paper

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Current Sheets, Dynamo Theory, Electrodynamics, Geomagnetism, Magnetic Flux, Electromotive Forces, Reynolds Number, Telluric Currents, Three Dimensional Flow

Scientific paper

A study of the alpha-effect at large magnetic Reynolds numbers (R) for simple steady flows is presented. It is found that the flux sheets created by a two-dimensional cellular flow sustain an alpha-effect developed when the mean magnetic field points in various directions relative to axes of convective rolls possessing helicity of R to the -1/2 power at large values of R. For an analogous helical axisymmetric motion the mean electromotive force gives a finite nonzero limit of alpha as R approaches infinity due to the existence of an intense axial flux rope; this estimate may be typical of steady three-dimensional motion.

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