H. Shibahashi: The DB gap of white dwarfs and semiconvection
This talk was given by Mike Thompson on behalf of Shibahashi.
First, a general overview of the classification and properties of white dwarfs (WDs) was given. The classification of WDs reflects their surface composition, but not their temperature. The spectra of DA WDs show only hydrogen lines (their atmospheres consist of pure H), those make up about 80% of all WDs. DB WDs show only He I lines (pure He). There are also DO (showing He II lines), DC, and other classes. DAs are found from hottest to coolest temperatures, DOs for Teff > 45000 K, DBs for Teff 45000 K, the He II/III zone creates turbulence which mixes H with He and leads to He stars. For gap stars, the He II/III zone is too deep to mix up H, and gravitational settling leads to the He envelope. At 30000 K, He I/II creates turbulence which mixes H with He and leads to He stars.
One can make a prediction of semiconvection based on this scenario. At 30000 K, the He ionization zone turns into a convectively stable layer, which is nontheless superadiabatic. This is a plane-parallel, gravitationally stratified layer of fluid in hydrostatic and radiative equilibrium, with a steep chemical gradient. The equations for this situation were shown, employing the Boussinesq approximation. The physical cause of the overstability is that radiative heat exchange brings about an assymmetry in the oscillary motion, and this leads to overshooting.
There are some open issues.
In summary, there are two groups of WDs, and a DB gap. Convective mixing and/or chemical separation might be responsible for the gap. A new type of WD variables is predicted near the red edge of the DB gap.
M. Spite: Extra-mixing in Extremely Metal-Poor red giants
This talk presented some results of the “First Stars” project. The aim of this project is an analysis of the chemical composition of the galactic matter in the early times. This works only if there is no mixing. 18 dwarf and 33 giant stars (not C-rich) with Fe/H
Next, comparison to the results of Gratton et al. (2000) was made. The mean metallicity of the Gratton et al. stars is -1.5 dex, whereas the mean metallicity of the “first stars” is -3.1 dex. Mixing appears at a higher luminosity for the “first stars”, but in both cases at the location of the bump.
A discussion of the abundances of Na and Al in these stars showed that some mixed stars are Na or Al rich (none of the unmixed stars). This could be due to deep mixing. Maybe some mixed stars are AGB stars (no effect is seen in oxygen, maybe the effect is too small).
As soon as an extremely metal poor star reaches the luminosity of the bump, its atmosphere is mixed with the H burning layer and the abundances of the light elements are altered.
P.P. Eggleton: Two Instances of Convection and Mixing in Red Giant Interiors
The actual title of the talk was “Formation and destruction of 3He in low-mass stars – Big Bang nucleosynthesis rescued”.
The discovery of a very important mixing process taking place on the AGB was presented. The mechanism is a Rayleigh-Taylor instability, driven by an unusual nuclear reaction of 3He. He is produced in the interior on the main sequence, then mixed into the convection zone.
The reaction equation is: 3He + 3He -> 4He + p + p
As an example, the evolution of an 0.8 solar masses population II star was shown in the HR diagram. The element distribution in the star at the end of the main sequence is as follows. There is a small exhausted core, and a lot of 3He is produced and mixed into the surface layers. There is a maximum in molecular weight at the bottom of the H burning shell at 3 million years after the turnoff (?). This leads to a little 3He burning shell.
For the simulations, the 3D hydrodynamics code “Djehuti” was used, which is described in Dearborn, Lattanzio and Eggleton (2006, ApJ 639, 405), a paper on the He flash. It implements explicit hydrodynamics, is run on 351 processors, and the timestep is Courant limited.
The Rayleigh-Taylor instability does not remove the molecular weight gradient that drives it. It is constantly replenished. Mixing advects fresh 3He in at the same rate as it advects products out.
The results were presented as a movie of the global stellar surface.

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