From Hydrogen to Helium: The Spectral Evolution of White Dwarfs as Evidence for Convective Mixing

TL;DR

This study investigates the spectral evolution of white dwarfs from hydrogen to helium atmospheres, providing evidence for convective mixing and estimating hydrogen mass distribution in these stars.

Contribution

It offers observational evidence for convective mixing causing spectral changes and constrains hydrogen mass in white dwarfs using Gaia, SDSS, and GALEX data.

Findings

22% of white dwarfs undergo spectral change from 20000K to 9000K.

Convective mixing explains the increase in helium-rich white dwarfs.

Hydrogen mass distribution in white dwarfs is characterized with implications for stellar evolution.

Abstract

We present a study of the hypothesis that white dwarfs undergo a spectral change from hydrogen- to helium-dominated atmospheres using a volume-limited photometric sample drawn from the $Gaia$ DR2 catalogue, the Sloan Digital Sky Survey (SDSS) and the $Galaxy~Evolution~Explorer$ (GALEX). We exploit the strength of the Balmer jump in hydrogen-atmosphere DA white dwarfs to separate them from helium-dominated objects in SDSS colour space. Across the effective temperature range from 20000K to 9000K we find that 22% of white dwarfs will undergo a spectral change, with no spectral evolution being ruled out at 5$\sigma$. The most likely explanation is that the increase in He-rich objects is caused by the convective mixing of DA stars with thin hydrogen layers, in which helium is dredged up from deeper layers by a surface hydrogen convection zone. The rate of change in the fraction of He-rich objects as a function of temperature, coupled with a recent grid of 3D radiation-hydrodynamic simulations of convective DA white dwarfs - which include the full overshoot region - lead to a discussion on the distribution of total hydrogen mass in white dwarfs. We find that 60% of white dwarfs must have a hydrogen mass larger than $M_{\rm H}/M_{\rm WD} = 10^{-10}$, another 25% have masses in the range $M_{\rm H}/M_{\rm WD} = 10^{-14}-10^{-10}$, and 15% have less hydrogen than $M_{\rm H}/M_{\rm WD} = 10^{-14}$. These results have implications for white dwarf asteroseismology, stellar evolution through the asymptotic giant branch (AGB) and accretion of planetesimals onto white dwarfs.