Anisotropic turbulent transport in stably stratified rotating stellar radiation zones

Abstract

Rotation is one of the key physical mechanisms that deeply impact the evolution of stars. Helio- and asteroseismology reveal a strong extraction of angular momentum from stellar radiation zones over the whole Hertzsprung-Russell diagram. Turbulent transport in differentially rotating stably stratified stellar radiation zones should be carefully modeled and its strength evaluated. Stratification and rotation imply that this turbulent transport is anisotropic. Only phenomenological prescriptions have been proposed for the transport in the horizontal direction, which however constitutes a cornerstone in current theoretical formalisms for stellar hydrodynamics in evolution codes. We derive a new theoretical prescription for the anisotropy of the turbulent transport in radiation zones using a spectral formalism for turbulence that takes simultaneously stable stratification, rotation, and a radial shear into account. Then, the horizontal turbulent transport resulting from 3D turbulent motions sustained by the instability of the radial differential rotation is derived. We implement this framework in the stellar evolution code STAREVOL and quantify its impact on the rotational and structural evolution of low-mass stars from the pre-main-sequence to the red giant branch. The anisotropy of the turbulent transport scales as $N^4{\tau }^2/\left(2{\Omega }^2\right)$, $N$ and $\Omega$ being the buoyancy and rotation frequencies respectively and $\tau$ a time characterizing the source of turbulence. This leads to a horizontal turbulent transport of similar strength in average that those obtained with previously proposed prescriptions even if it can be locally larger below the convective envelope. As a consequence, a complementary transport mechanism like internal gravity waves or magnetic fields is still needed to explain the observed strong transport of angular momentum along stellar evolution.

16 pages, 8 figures, Accepted for publication in Astronomy and Astrophysics

References in corpus (22)

• The Mass-Dependence of Angular Momentum Evolution in Sun-Like Stars
• Asteroseismic measurement of surface-to-core rotation in a main sequence A star, KIC 11145123
• Improved angular momentum evolution model for solar-like stars II. Exploring the mass dependence
• White Dwarf Rotation as a Function of Mass and a Dichotomy of Mode Linewidths: Kepler Observations of 27 Pulsating DA White Dwarfs Through K2 Campaign 8
• Asteroseismic measurement of slow, nearly-uniform surface-to-core rotation in the main sequence F star KIC 9244992
• Core rotation braking on the red giant branch for various mass ranges
• White dwarf spins from low mass stellar evolution models
• Diagnoses to unravel secular hydrodynamical processes in rotating main sequence stars
• Asymptotic g modes: Evidence for a rapid rotation of the solar core
• Magnetic confinement of the solar tachocline: II. Coupling to a convection zone
• The interior angular momentum of core hydrogen burning stars from gravity-mode oscillations
• Angular momentum redistribution by mixed modes in evolved low-mass stars. II. Spin-down of the core of red giants induced by mixed modes
• Can plume-induced internal gravity waves regulate the core rotation of subgiant stars?
• A Revised Prescription for the Tayler-Spruit Dynamo: Magnetic Angular Momentum Transport in Stars
• The dynamics of the radiative envelope of rapidly rotating stars. I. A spherical Boussinesq model
• Turbulent transport in radiative zones of stars
• Angular momentum redistribution by mixed modes in evolved low-mass stars. I. Theoretical formalism
• Large-scale anisotropy in stably stratified rotating flows
• The angular momentum transport by unstable toroidal magnetic fields
• Turbulent transport by diffusive stratified shear flows: from local to global models. Part I: Numerical simulations of a stratified plane Couette flow
• Shear mixing in stellar radiative zones I. Effect of thermal diffusion and chemical stratification
• Turbulent transport by diffusive stratified shear flows: from local to global models. Part II: Limitations of local models

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• Horizontal shear instabilities in rotating stellar radiation zones: I. Inflectional and inertial instabilities and the effects of thermal diffusion
• Horizontal shear instabilities in rotating stellar radiation zones: II. Effects of the full Coriolis acceleration
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• WIYN Open Cluster Study. LXXXVII. HST Ultraviolet Detection of Hot White Dwarf Companions to Blue Lurkers in M67
• The traditional approximation of rotation for rapidly rotating stars and planets. II. Deformation and differential rotation
• Spinning up the Surface: Evidence for Planetary Engulfment or Unexpected Angular Momentum Transport?
• Chemical mixing in low mass stars: I. Rotation against atomic diffusion including radiative accelerations
• Angular momentum transport, layering, and zonal jet formation by the GSF instability: nonlinear simulations at a general latitude
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• Massive stars evolution with new C12+C12 nuclear reaction rate -- the core carbon-burning phase
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• Structure and evolution of a tidally heated star
• Constraining differential rotation in gamma Doradus stars from inertial dips properties
• Extended Main Sequences in Star Clusters
• Photometric determination of rotation axis inclination, rotation rate, and mass of rapidly rotating intermediate-mass stars
• Radial differential rotation leading to dipole collapse in pre-main-sequence stars
• Co-existence of Internal Gravity Waves and Tayler-Spruit Magnetic Fields in the Radiative Core of Low-mass Stars
• Centrifugal instability of Taylor-Couette flow in stratified and diffusive fluids