Abstract

Stellar evolution computations provide the foundation of several methods applied to study the evolutionary properties of stars and stellar populations, both Galactic and extragalactic. The accuracy of the results obtained with these techniques is linked to the accuracy of the stellar models, and in this context the correct treatment of the transport of chemical elements is crucial. Unfortunately, in many respects calculations of the evolution of the chemical abundance profiles in stars are still affected by sometimes sizable uncertainties. Here, we review the various mechanisms of element transport included in the current generation of stellar evolution calculations, how they are implemented, the free parameters and uncertainties involved, the impact on the models and the observational constraints.

Highlights

  • Almost a century ago Eddington wrote [1]: ‘It is reasonable to hope that in a not too distant future we shall be competent to understand so simple a thing as a star’

  • Surface convection is very important when comparing the surface abundances measured from spectroscopy with the models, because of the dredge-up phenomenon, whereby the fully mixed convective envelopes reach layers processed by nuclear burnings, altering their chemical composition during the red giant branch (RGB) and asymptotic giant branch (AGB) phases [2]

  • A tricky issue for modelling rotating stars with 1D stellar models is how to describe the transport of angular momentum—that determines the evolution of Ω—and the chemical mixing associated with rotation

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Summary

Introduction

Almost a century ago Eddington wrote [1]: ‘It is reasonable to hope that in a not too distant future we shall be competent to understand so simple a thing as a star’. The aim of this review is to discuss the various mechanisms of chemical element transport included in the current generation of stellar models, their effect on the evolutionary properties of the models, and the various prescriptions found in the literature, that often produce very different results. This will allow the reader to appreciate the main uncertainties involved, and what properties of stellar models are affected the most.

Stellar model computation
Convection
Instabilities in non-rotating stars
The mixing length theory of convection
The values assumed in the classical and widely employed
Convective overshooting
Semiconvection
H-burning phase with convective cores
Core He-burning phase in low–intermediate-mass stars
Thermohaline mixing
Atomic diffusion
The effect of atomic diffusion on stellar models
Inhibition of the efficiency of atomic diffusion
Rotational mixing
Mass loss
Generic turbulence
Phase separation in white dwarfs
Rotation and rotational element transport mechanisms
One-dimensional modelling of rotating stars
Chemical element and angular momentum transport
Diffusive implementation
Additional effects
Gravity waves
Magnetic fields
An example of possible synergy among several element transport processes
Hyades
Findings
10. Conclusion

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