Abstract

Abstract The treatment of chemical mixing in the radiative envelopes of intermediate-mass stars has hardly been calibrated so far. Recent asteroseismic studies demonstrated that a constant diffusion coefficient in the radiative envelope is not able to explain the periods of trapped gravity modes in the oscillation spectra of γ Doradus pulsators. We present a new generation of MESA stellar models with two major improvements. First, we present a new implementation for computing radiative accelerations and Rosseland mean opacities that requires significantly less CPU time. Second, the inclusion of shear mixing based on rotation profiles computed with the 2D stellar structure code ESTER is considered. We show predictions for the mode periods of these models covering stellar masses from 1.4 to 3.0 M ⊙ across the main sequence, computed for different metallicities. The morphology of the chemical mixing profile resulting from shear mixing in combination with atomic diffusion and radiative levitation does allow for mode trapping, while the diffusion coefficient in the outer envelope is large (>106 cm2 s−1). Furthermore, we make predictions for the evolution of surface abundances for which radiative accelerations can be computed. We find that the N/C and C/O abundance ratios correlate with stellar age. We predict that these correlations are observable with precisions ≲ 0.1 dex on these ratios, given that a precise age estimate can be made.

Highlights

  • A complete and calibrated theory of chemical mixing inside stars remains an outstanding problem in stellar structure and evolution theory (Salaris & Cassisi 2017)

  • We demonstrate that shear mixing in combination with microscopic mixing due to atomic diffusion can explain the observed g-mode periods of γ Doradus (γ Dor) stars, and we investigate the implications of including these two mixing phenomena for the evolution of the surface abundances

  • We stress that the predicted locations of the dips in the period spacing pattern are extremely sensitive to the stellar mass, age, and input physics, and that the aim of this paper is not to precisely match the periods but to investigate whether models with shear mixing and radiative levitation can reproduce the global morphology of the observed period spacing pattern

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Summary

Introduction

A complete and calibrated theory of chemical mixing inside stars remains an outstanding problem in stellar structure and evolution theory (Salaris & Cassisi 2017). The clearest example of a γ Dor star with trapped modes is KIC 11294808, which shows pronounced “dips” in the period spacing pattern (Van Reeth et al 2015) that could not be explained with the physics used in the models of Mombarg et al (2021) These authors find that similar amplitudes of the dips, compared to those observed in KIC 11294808, are only reproduced at a level of Dmacro = 0.05 cm s−1 for the macroscopic mixing. We demonstrate that (macroscopic) shear mixing in combination with microscopic mixing due to atomic diffusion (including radiative levitation) can explain the observed g-mode periods of γ Dor stars, and we investigate the implications of including these two mixing phenomena for the evolution of the surface abundances.

Improved Routines for Radiative Levitation
Implementation of Shear Mixing in MESA
Oscillation Spectra
Surface Abundances
Numerical Uncertainties
Discussion and Conclusion
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