Mean-field Magnetohydrodynamics and Dynamo Theory |
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A0-mode Acor assume Astrophys average aw-mechanism axisymmetric B-fields B-modes basic equations bijk Bochner's theorem considered convection zone coordinate Coriolis forces correlation tensor corresponding curl d₁-effect decay defined dependence derived differential rotation dipole dk dw dynamo action dynamo excitation dynamo models dynamo problem dynamo theory electrical conductivity fluctuating fluid Fourier transform function given helical motions incompressible induction effects influence isotropic kinematic dynamo KRAUSE magnetic diffusivity magnetohydrodynamics marginal values mean magnetic field mean motion mean-field magnetohydrodynamics mirrorsymmetric modes non-axisymmetric obtain Ohm's law order correlation approximation oscillatory plane poloidal quantities RÄDLER relation respect result S0-mode scalar second order correlation solar spherical steady STEENBECK sunspots symmetric Tcor theorem tion toroidal field turbulent dynamo turbulent electromotive force turbulent motion two-dimensional U₁ vector velocity field x-effect x²-mechanism αξ ατ θξη ίω μο μσ ω²