3 research outputs found
Convective plan-form two-scale dynamos in a plane layer
We study generation of magnetic fields, involving large spatial scales, by
convective plan-forms in a horizontal layer. Magnetic modes and their growth
rates are expanded in power series in the scale ratio, and the magnetic eddy
diffusivity (MED) tensor is derived for flows, symmetric about the vertical
axis in a layer. For convective rolls magnetic eddy correction is demonstrated
to be always positive. For rectangular cell patterns, the region in the
parameter space of negative MED coincides with that of small-scale magnetic
field generation. No instances of negative MED in hexagonal cells are found. A
family of plan-forms with a smaller symmetry group than that of rectangular
cell patterns has been found numerically, where MED is negative for molecular
magnetic diffusivity over the threshold for the onset of small-scale magnetic
field generation.Comment: Latex. 24 pages with 3 Postscript figures, 19 references. Final
version (expanded Appendix 2, 4 references added, notation changed to a more
"user-friendly"), accepted in Geophysical and Astrophysical Fluid Dynamic
Electromotive Force and Large-Scale Magnetic Dynamo in a Turbulent Flow with a Mean Shear
An effect of sheared large-scale motions on a mean electromotive force in a
nonrotating turbulent flow of a conducting fluid is studied. It is demonstrated
that in a homogeneous divergence-free turbulent flow the alpha-effect does not
exist, however a mean magnetic field can be generated even in a nonrotating
turbulence with an imposed mean velocity shear due to a new ''shear-current"
effect. A contribution to the electromotive force related with the symmetric
parts of the gradient tensor of the mean magnetic field (the kappa-effect) is
found in a nonrotating turbulent flows with a mean shear. The kappa-effect and
turbulent magnetic diffusion reduce the growth rate of the mean magnetic field.
It is shown that a mean magnetic field can be generated when the exponent of
the energy spectrum of the background turbulence (without the mean velocity
shear) is less than 2. The ''shear-current" effect was studied using two
different methods: the Orszag third-order closure procedure and the stochastic
calculus. Astrophysical applications of the obtained results are discussed.Comment: 12 pages, REVTEX4, submitted to Phys. Rev.