Mathematics – Spectral Theory
Scientific paper
Oct 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gapfd..21..265m&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics, vol. 21, no. 3-4, 1982, p. 265-283.
Mathematics
Spectral Theory
16
Conducting Fluids, Dynamo Theory, Magnetic Fields, Solar Physics, Spectral Theory, Turbulence Effects, Electromotive Forces, Functions (Mathematics), Rotating Fluids, Scalars, Velocity Distribution, Wave Propagation
Scientific paper
The antisymmetric part of the spectrum tensor in general homogeneous turbulence can be expressed in terms of a single scalar function, the helicity spectrum function. Under the first-order smoothing approximation, two coefficients which are weighed integrals of the helicity spectrum function are determined in the expansion of the mean electromotive force in terms of the mean magnetic field. Explicit expressions are given for the two coefficients when the velocity field is generated by random forcing in a rotating medium. It is shown by means of a local analysis that the Raedler effect, in conjunction with uniform mean shear, can give rise to nonoscillatory dynamo action. This effect may be significant in the well mixed interior of a stellar convection zone, where the alpha effect may by symmetry be weak.
Moffatt H. K.
Proctor Michael R. E.
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