Diffusion coefficients in the envelopes of white dwarfs.

2020 
The diffusion of elements is a key process in understanding the unusual surface composition of white dwarfs stars and their spectral evolution. The diffusion coefficients of Paquette et al. (1986) have been widely used to model diffusion in white dwarfs. We perform new calculations of the coefficients of inter-diffusion and ionic thermal diffusion with 1) a more advanced model that uses a recent modification of the calculation of the collision integrals that is more suitable for the partially ionized, partially degenerate and moderately coupled plasma, and 2) classical molecular dynamics. The coefficients are evaluated for silicon and calcium in white dwarf envelopes of hydrogen and helium. A comparison of our results with Paquette et al. shows that the latter systematically underestimates the coefficient of inter-diffusion yet provides reliable estimates for the relatively weakly coupled plasmas found in nearly all types of stars as well as in white dwarfs with hydrogen envelopes. In white dwarfs with cool helium envelopes (Teff 3 differences between calculations based on Paquette et al. and our model.
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