Convective boundary mixing in main-sequence stars: theory and empirical constraints

Abstract

The convective envelopes of solar-type stars and the convective cores of intermediate- and high-mass stars share boundaries with stable radiative zones. Through a host of processes we collectively refer to as "convective boundary mixing" (CBM), convection can drive efficient mixing in these nominally stable regions. In this review, we discuss the current state of CBM research in the context of main-sequence stars through three lenses. (1) We examine the most frequently implemented 1D prescriptions of CBM -- exponential overshoot, step overshoot, and convective penetration -- and we include a discussion of implementation degeneracies and how to convert between various prescriptions. (2) Next, we examine the literature of CBM from a fluid dynamical perspective, with a focus on three distinct processes: convective overshoot, entrainment, and convective penetration. (3) Finally, we discuss observational inferences regarding how much mixing should occur in the cores of intermediate- and high-mass stars, and the implied constraints that these observations place on 1D CBM implementations. We conclude with a discussion of pathways forward for future studies to place better constraints on this difficult challenge in stellar evolution modeling.

arXiv commentAppears roughly as published; invited review in the Galaxies special issue, "The Structure and Evolution of Stars". Supplementary materials can be found online in a Zenodo repository at https://zenodo.org/record/7735067

References in corpus (194)

• Modules for Experiments in Stellar Astrophysics (MESA)
• PARSEC: stellar tracks and isochrones with the PAdova and TRieste Stellar Evolution Code
• The Transiting Exoplanet Survey Satellite
• Modules for Experiments in Stellar Astrophysics (MESA): Giant Planets, Oscillations, Rotation, and Massive Stars
• Modules for Experiments in Stellar Astrophysics (MESA): Binaries, Pulsations, and Explosions
• MESA Isochrones and Stellar Tracks (MIST). I: Solar-Scaled Models
• Modules for Experiments in Stellar Astrophysics (MESA): Convective Boundaries, Element Diffusion, and Massive Star Explosions
• MESA Isochrones and Stellar Tracks (MIST) 0: Methods for the construction of stellar isochrones
• Modules for Experiments in Stellar Astrophysics (MESA): Pulsating Variable Stars, Rotation, Convective Boundaries, and Energy Conservation
• The Dartmouth Stellar Evolution Database
• The K2 Mission: Characterization and Early results
• A large stellar evolution database for population synthesis studies. I. Scaled solar models and isochrones
• Kepler Mission Design, Realized Photometric Performance, and Early Science
• Scaling in thermal convection: A unifying theory
• Rotating Massive Main-Sequence Stars I: Grids of Evolutionary Models and Isochrones
• The CoRoT satellite in flight : description and performance
• An eclipsing binary distance to the Large Magellanic Cloud accurate to 2 per cent
• A large stellar evolution database for population synthesis studies. II. Stellar models and isochrones for an alpha-enhanced metal distribution
• Modules for Experiments in Stellar Astrophysics (MESA): Time-Dependent Convection, Energy Conservation, Automatic Differentiation, and Infrastructure
• Theory of Low-Mass Stars and Substellar Objects
• Asteroseismology of Solar-Type and Red-Giant Stars
• Turbulent Convection in Stellar Interiors. I. Hydrodynamic Simulation
• Probing the interior physics of stars through asteroseismology
• The ACS Survey of Galactic Globular Clusters. II. Stellar Evolution Tracks, Isochrones, Luminosity Functions, and Synthetic Horizontal-Branch Models
• Angular Momentum Transport in Stellar Interiors
• ASTEC -- the Aarhus STellar Evolution Code
• Gravity darkening in rotating stars
• Rotational mixing in massive binaries: detached short-period systems
• The Araucaria Project. The distance to the Small Magellanic Cloud from late-type eclipsing binaries
• YREC: The Yale Rotating Stellar Evolution Code
• BRITE-Constellation: nanosatellites for precision photometry of bright stars
• The Effect of Stellar Rotation on Colour-Magnitude Diagrams: On the apparent presence of multiple populations in intermediate age stellar clusters
• CESAM: a free code for stellar evolution calculations
• The VLT-FLAMES survey of massive stars: atmospheric parameters and rotational velocity distributions for B-type stars in the Magellanic Clouds
• Tight asteroseismic constraints on core overshooting and diffusive mixing in the slowly rotating pulsating B8.3V star KIC 10526294
• Sub-Inertial Gravity Modes in the B8V Star KIC 7760680 Reveal Moderate Core Overshooting and Low Vertical Diffusive Mixing
• Internal mixing of rotating stars inferred from dipole gravity modes
• Simulations of core convection in rotating A-type stars: Differential rotation and overshooting
• On differential rotation and overshooting in solar-like stars
• The spectroscopic Hertzsprung-Russell diagram of Galactic massive stars
• Stellar ages and convective cores in field main-sequence stars: first asteroseismic application to two Kepler targets
• A critical investigation on the discrepancy between the observational and theoretical Red Giant luminosity function "Bump"
• Global Seismology of the Sun
• A large stellar evolution database for population synthesis studies. V. Stellar models and isochrones with CNONa abundance anticorrelations
• An asteroseismic signature of helium ionization
• An asteroseismic study of the beta Cephei star theta Ophiuchi: constraints on global stellar parameters and core overshooting
• A Large Stellar Evolution Database for Population Synthesis Studies. III. Inclusion of the full Asymptotic Giant Branch phase and Web tools for stellar population analyses
• A more realistic representation of overshoot at the base of the solar convective envelope as seen by helioseismology
• Constraining mixing in massive stars in the Small Magellanic Cloud
• Measuring the extent of convective cores in low-mass stars using Kepler data: towards a calibration of core overshooting
• Multiple stellar populations in Magellanic Cloud clusters. VI. A survey of multiple sequences and Be stars in young clusters
• The Yale-Potsdam Stellar Isochrones (YaPSI)
• Two-Dimensional Hydrodynamics of Pre-Core Collapse: Oxygen Shell Burning
• Turbulent Convection in Stellar Interiors. II. The Velocity Field
• A new analysis of the Red Giant Branch "Tip" distance scale and the value of the Hubble constant
• Solar structure and evolution
• The Detection of Multimodal Oscillations on Alpha UMa
• Models for Solar Abundance Stars with Gravitational Settling and Radiative Accelerations: Application to M67 and NGC188
• A large stellar evolution database for population synthesis studies. IV. Integrated properties and spectra
• Turbulent convection in stellar interiors. III. Mean-field analysis and stratification effects
• The dependence of convective core overshooting on stellar mass: Additional binary systems and improved calibration
• The nature of B supergiants: clues from a steep drop in rotation rates at 22000 K. The possibility of Bi-stability braking
• Asteroseismic modelling of the two F-type hybrid pulsators KIC10080943A and KIC10080943B
• The shape of convective core overshooting from gravity-mode period spacings
• The dependence of convective core overshooting on stellar mass: semi-empirical determination using the diffusive approach with two different element mixtures
• The mass discrepancy in intermediate- and high-mass eclipsing binaries: the need for higher convective core masses
• Discovery of two distinct red clumps in NGC419: a rare snapshot of a cluster at the onset of degeneracy
• Idealised hydrodynamic simulations of turbulent oxygen-burning shell convection in 4π geometry
• Mixing by overshooting and rotation in intermediate mass stars
• Physical parameters and the projection factor of the classical Cepheid in the binary system OGLE-LMC-CEP-0227
• On using the CMD morphology of M67 to test solar abundances
• Forward seismic modelling of the pulsating magnetic B-type star HD 43317
• On the proper use of the Schwarzschild and Ledoux criteria in stellar evolution computations
• 3D Hydrodynamic Simulations of Carbon Burning in Massive Stars
• Fundamental Parameters of Main-Sequence Stars in an Instant with Machine Learning
• The dependence of convective core overshooting on stellar mass: reality check, and additional evidence
• Extended Main Sequence Turnoffs in Open Clusters as Seen by Gaia: I. NGC 2818 and the Role of Stellar Rotation
• Multisite spectroscopic seismic study of the beta Cep star V2052 Oph: inhibition of mixing by its magnetic field
• An asteroseismic study of the O9V star HD 46202 from CoRoT space-based photometry
• Energy Conservation and Gravity Waves in Sound-proof Treatments of Stellar Interiors: Part I Anelastic Approximations
• Envelope Convection, Surface Magnetism and Spots in A- and late B-type Stars
• Different stellar rotation in the two main sequences of the young globular cluster NGC1818: first direct spectroscopic evidence
• Numerical Simulations of Penetration and Overshoot in the Sun
• The eccentric massive binary V380 Cyg: revised orbital elements and interpretation of the intrinsic variability of the primary component
• The core helium flash revisited: II. Two and three-dimensional hydrodynamic simulations
• Hydrodynamic simulations of He-shell flash convection
• Toward a consistent use of overshooting parametrizations in 1D stellar evolution codes
• Confronting uncertainties in stellar physics: calibrating convective overshooting with eclipsing binaries
• The Catalogue of Stellar Parameters from the Detached Double-Lined Eclipsing Binaries in the Milky Way
• Massive star evolution : rotation, winds, and overshooting vectors in the Mass-Luminosity plane I. A calibrated grid of rotating single star models
• A-star envelopes: a test of local and non-local models of convection
• Extended subadiabatic layer in simulations of overshooting convection
• Asteroseismic Signatures of Small Convective Cores
• Eclipsing Binaries as Astrophysical Laboratories: Internal Structure, Convective Core Overshooting and Evolution of the B-star Components of V380 Cygni
• The Tarantula Massive Binary Monitoring: III. Atmosphere analysis of double-lined spectroscopic systems
• An asteroseismic study of the beta Cephei star beta Canis Majoris
• The Li-age correlation: the Sun is unusually Li deficient for its age
• How stellar rotation shapes the colour magnitude diagram of the massive intermediate-age star cluster NGC 1846
• Binary Asteroseismic Modelling: isochrone-cloud methodology and application to Kepler gravity-mode pulsators
• 3D hydrodynamic simulations of C ingestion into a convective O shell
• Constraining stellar evolution theory with asteroseismology of $\gamma$ Doradus stars using deep learning
• Probing the temperature gradient in the core boundary layer of stars with gravito-inertial modes: the case of KIC7760680
• Structure and evolution of low-mass stars
• Convective core entrainment in 1D main sequence stellar models
• Probing the shape of the mixing profile and of the thermal structure at the convective core boundary through asteroseismology
• Chemical evolution of high-mass stars in close binaries. II. The evolved component of the eclipsing binary V380 Cygni
• An asteroseismic study of the beta Cephei star 12 Lacertae: multisite spectroscopic observations, mode identification and seismic modelling
• Statistical errors and systematic biases in the calibration of the convective core overshooting with eclipsing binaries. A case study: TZ Fornacis
• Solar overshoot region and small-scale dynamo with realistic energy flux
• Interpretation of the BRITE oscillation data of the hybrid pulsator $\nu$ Eridani: a call for the modification of stellar opacities
• Dependence of Convective Boundary Mixing on Boundary Properties and Turbulence Strength
• Asteroseismic inference of the near-core magnetic field strength in the main sequence B star HD 43317
• Lithium depletion and angular momentum transport in solar-type stars
• Turbulent Chemical Diffusion in Convectively Bounded Carbon Flames
• Stellar rotation and the extended main sequence turnoff in the open cluster NGC 5822
• Extreme value statistics for two-dimensional convective penetration in a pre-Main Sequence star
• A model of rotating convection in stellar and planetary interiors: I - convective penetration
• The Contributions of Interactive Binary Stars to Double Main Sequence Turn-Offs and Dual Red Clump of Intermediate-Age Star Clusters
• Stellar convective penetration: parameterized theory and dynamical simulations
• VLT multi-object spectroscopy of 33 eclipsing binaries in the Small Magellanic Cloud. New distance and depth of the SMC, and a record-breaking apsidal motion
• Convective core sizes in rotating massive stars: I. Constraints from solar metallicity OB field stars
• The Araucaria Project: The First-Overtone Classical Cepheid in the Eclipsing System OGLE-LMC-CEP-2532
• Updating the theoretical tidal evolution constants: Apsidal motion and the moment of inertia
• Penetrative Convection at High Rayleigh Numbers
• Survival of a convective core in low-mass solar-like pulsator HD 203608
• Analysis of apsidal motion in eclipsing binaries using TESS data II. A test of internal stellar structure}
• Convective boundary mixing in main-sequence stars: theory and empirical constraints
• The effects of stellar rotation along the main sequence of the 100 Myr old massive cluster NGC 1850
• Convective overshooting and penetration in a Boussinesq spherical shell
• The new Toulouse-Geneva Stellar Evolution Code including radiative accelerations of heavy elements
• Overshooting in simulations of compressible convection
• Orbital and physical parameters of eclipsing binaries from the ASAS catalogue - VIII. The totally-eclipsing double-giant system HD 187669
• Significant uncertainties from calibrating overshooting with eclipsing binary systems
• The CubeSpec space mission. I. Asteroseismology of massive stars from time series optical spectroscopy: science requirements and target list prioritisation
• Empirical Constraints on Convective Core Overshoot
• The late type eclipsing binaries in the Large Magellanic Cloud: catalogue of fundamental physical parameters
• Turbulent diffusion with rotation or magnetic fields
• A study of convective core overshooting as a function of stellar mass based on two-dimensional hydrodynamical simulations
• Calibrating Core Overshooting Parameters With Two-dimensional Hydrodynamical Simulations
• High-precision asteroseismology in Slowly Pulsating B star: HD 50230
• Seismic modelling of the $\beta$Cep star HD\,180642 (V1449\,Aql)
• Highlights of Discoveries for $\delta$ Scuti Variable Stars From the Kepler Era
• Convective boundary mixing in low- and intermediate-mass stars I. Core properties from pressure-mode asteroseismology
• The araucaria project. An accurate distance to the late-type double-lined eclipsing binary ogle smc113.3 4007 in the small magellanic cloud
• Dynamics of Mixed Convective--Stably-Stratified Fluids
• The Araucaria Project: A study of the classical Cepheid in the eclipsing binary system OGLE LMC562.05.9009 in the Large Magellanic Cloud
• Testing intermediate-age stellar evolution models with VLT photometry of LMC clusters. II. Analysis with the Yale models
• Internal rotation and inclinations of slowly pulsating B stars: Evidence of interior angular momentum transport
• Isochrone-cloud fitting of the extended Main-Sequence Turn-Off of young clusters
• Stellar modelling of Spica, a high-mass spectroscopic binary with a beta Cep variable primary component
• The Minimum Mass of Rotating Main Sequence Stars and its Impact on the Nature of Extended Main Sequence Turnoffs in Intermediate-Age Star Clusters in the Magellanic Clouds
• Schwarzschild and Ledoux are equivalent on evolutionary timescales
• Calibrating convective-core overshooting with eclipsing binary systems. The case of low-mass main-sequence stars
• The intermediate-age globular cluster NGC 1783 in the Large Magellanic Cloud
• Deep Learning Applied to the Asteroseismic Modeling of Stars with Coherent Oscillation Modes
• Penetrative Convection in Partly Stratified Rapidly Rotating Spherical Shells
• SNAPSHOT: Connections between Internal and Surface Properties of Massive Stars
• Properties of six short-period massive binaries: a study of the effects of binarity on surface chemical abundances
• Seismic modeling of a very young SPB star -- KIC8264293
• Asteroseismology of hybrid $\delta$ Scuti--$\gamma$ Doradus pulsating stars
• Overshooting calibration and age determination from evolved binary system
• Two-dimensional simulations of solar-like models with artificially enhanced luminosity -- I. Impact on convective penetration
• Probing tiny convective cores with the acoustic modes of lowest degree
• Rossby numbers and stiffness values inferred from gravity-mode asteroseismology of rotating F- and B-type dwarfs: consequences for mixing, transport, magnetism, and convective penetration
• Examining the Relationship Between Convective Core Overshoot and Stellar Properties Using Asteroseismology
• Calibrating the updated overshoot mixing model on eclipsing binary stars: HY Vir, YZ Cas, X2 Hya & VV Crv
• Line-profile variability from tidal flows in Alpha Virginis (Spica)
• Realistic 3D hydrodynamics simulations find significant turbulent entrainment in massive stars
• High-mass eclipsing binaries: a testbed for models of interior structure and evolution -- Accurate fundamental properties and surface chemical composition for V1034 Sco, GL Car, V573 Car and V346 Cen
• Dynamics of Turbulent Convection and Convective Overshoot in a Moderate Mass Star
• Blue supergiants as tests for stellar physics
• Numerical simulations of downward convective overshooting in giants
• Combined asteroseismology, spectroscopy, and astrometry of the CoRoT B2V target HD 170580
• The effects of the overshooting of the convective core on main-sequence turnoffs of young- and intermediate-age star clusters
• The hybrid B-type pulsator $\gamma$ Pegasi: mode identification and complex seismic modelling
• Ensemble asteroseismology of pulsating B-type stars in NGC 6910
• The magnitude of viscous dissipation in strongly stratified two-dimensional convection
• Apsidal motion and absolute parameters for five LMC eccentric eclipsing binaries
• Apsidal motion in massive eccentric binaries: The case of CPD-41${}^{\circ }$7742, and HD 152218 revisited
• Stellar evolution models with overshooting based on 3-equation non-local theories I. Physical basis and the computation of the dissipation rate
• Penetration of a cooling convective layer into a stably-stratified composition gradient: entrainment at low Prandtl number
• A Transparent Window into Early-Type Stellar Variability
• The roAp stars observed by the Kepler Space Telescope
• Convective and non-convective mixing in AGB stars
• Pulsational properties of ten new slowly pulsating B stars
• A simple scheme to implement a nonlocal turbulent convection model for the convective overshoot mixing
• Absolute dimensions and apsidal motion of the eclipsing binaries V889 Aql and V402 Lac
• Rotational and pulsational variability in the TESS light curve of HD27463
• Stellar age determination in the Mass-Luminosity Plane
• Turbulent Compressible Convection with Rotation - Penetration above a Convection Zone
• Isochrones of M67 with an Expanded Set of Parameters
• Accurate absolute parameters of the binary system V4089 Sgr
• Absolute Dimensions and Apsidal Motion of the Young Detached System LT Canis Majoris
• Effects of Rotation and Input Energy Flux on Convective Overshooting

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