Mean-field Magnetohydrodynamics and Dynamo Theory |
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A0-mode a₁ assume Astrophys average axis axisymmetric B-fields B-modes B₁ basic equations Bochner's theorem consider convection zone coordinate Coriolis forces correlation tensor curl d₁ decay defined dependence derived dipole dk dw do-mechanism dynamo action dynamo models dynamo problem dynamo theory electrical conductivity fluctuating fluid Fourier Fourier transform function ƒ ƒ given high-conductivity limit incompressible induction effects induction equation influence integral isotropic isotropic tensors KRAUSE magnetic diffusivity magnetohydrodynamics marginal values mean magnetic field mean motion mean-field electrodynamics mean-field magnetohydrodynamics mirrorsymmetric modes nk² non-axisymmetric obtain Ohm's law order correlation approximation oscillatory plane poloidal quantities RÄDLER relation respect right-handed rotation S0-mode scalar second order correlation solar spherical steady STEENBECK sunspots symmetric Tcor theorem tion toroidal toroidal field turbulent dynamo turbulent electromotive force turbulent motion vector x-effect xw-mechanism Οξι