Self-consistent theory of turbulent transport in the solar tachocline. III. Gravity waves

Abstract

To understand the fundamental physical processes important for the evolution of solar rotation and distribution of chemical species, we provide theoretical predictions for particle mixing and momentum transport in the stably stratified tachocline. By envisioning that turbulence is driven externally in the tachocline (e.g. by plume penetration), we compute the amplitude of turbulent flow, turbulent particle diffusivities, and eddy viscosity, by incorporating the effect of a strong radial differential rotation and stable stratification. We identify the different roles that the shear flow and stable stratification play in turbulence regulation and transport. Particle transport is found to be severely quenched due to stable stratification as well as radial differential rotation, especially in the radial direction with an effectively more efficient horizontal transport. The eddy viscosity is shown to become negative for parameter values typical of the tachocline, suggesting that turbulence in the stably stratified tachocline leads to a non-uniform radial differential rotation. Similar results also hold in the radiative interiors of stars, in general.

References in corpus (9)

• Influence of gravity waves on the internal rotation and Li abundance of solar-type stars
• Standard Solar models in the Light of New Helioseismic Constraints II. Mixing Below the Convective Zone
• Angular momentum extraction by gravity waves in the Sun
• Magnetic confinement of the solar tachocline
• Orbital and spin variability of the Intermediate Polar BG CMi
• Self-consistent theory of turbulent transport in the solar tachocline. II. Tachocline confinement
• A Consistent One-Dimensional Model for the Turbulent Tachocline
• On a long-term dynamics of the magnetised solar tachocline
• Exit from inflation and a paradigm for vanishing cosmological constant in self-tuning models

Cited by in corpus (9)

• Magnetic confinement of the solar tachocline: II. Coupling to a convection zone
• Magnetic confinement of the solar tachocline: The oblique dipole
• Confinement of the solar tachocline by a cyclic dynamo magnetic field
• Analytical theory of forced rotating sheared turbulence. I. Perpendicular case
• Mini-conference on angular momentum transport in laboratory and nature
• Analytical theory of forced rotating sheared turbulence. The Parallel case
• Effect of enhanced dissipation by shear flows on transient relaxation and probability density function in two dimensions
• Effects of shear flows on the evolution of fluctuations in interchange turbulence
• Multi-scale theory of rotating turbulence