Advances in theory and simulations of large-scale dynamos
arXiv:0901.0329 · doi:10.1007/s11214-009-9490-0
Abstract
Recent analytical and computational advances in the theory of large-scale dynamos are reviewed. The importance of the magnetic helicity constraint is apparent even without invoking mean-field theory. The tau approximation yields expressions that show how the magnetic helicity gets incorporated into mean-field theory. The test-field method allows an accurate numerical determination of turbulent transport coefficients in linear and nonlinear regimes. Finally, some critical views on the solar dynamo are being offered and targets for future research are highlighted.
19 pages, 2 figures, to appear in Space Sci. Rev
References in corpus (19)
- Global-Scale Turbulent Convection and Magnetic Dynamo Action in the Solar Envelope
- The case for a distributed solar dynamo shaped by near-surface shear
- Numerical demonstration of fluctuation dynamo at low magnetic Prandtl numbers
- Large-scale dynamos in turbulent convection with shear
- Turbulent magnetic Prandtl number and magnetic diffusivity quenching from simulations
- Kinematic alpha effect in isotropic turbulence simulations
- Scale dependence of alpha effect and turbulent diffusivity
- Alpha effect and turbulent diffusion from convection
- Minimal tau approximation and simulations of the alpha effect
- Nonlinear current helicity fluxes in turbulent dynamos and alpha quenching
- Nonlinear magnetic diffusivity and alpha tensors in helical turbulence
- Large-scale Dynamo Action Driven by Velocity Shear and Rotating Convection
- Strong mean field dynamos require supercritical helicity fluxes
- Alpha effect and diffusivity in helical turbulence with shear
- A growing dynamo from a saturated Roberts flow dynamo
- Magnetic helicity effects in astrophysical and laboratory dynamos
- Kinetic and magnetic alpha effects in nonlinear dynamo theory
- The dual role of shear in large-scale dynamos
- Simulations of the anisotropic kinetic and magnetic alpha effects