Convection in the atmospheres and envelopes of Pre-Main Sequence stars

The Teff location of Pre-Main Sequence (PMS) evolutionary tracks depends on the treatment of over-adiabaticity. Since the convection penetrates into the stellar atmosphere, also the treatment of convection in the modeling of stellar atmospheres will affect the location of the Hayashi tracks. We present new non-grey PMS tracks for Teff>4000 K. We compute several grids of evolutionary tracks varying: 1. the treatment of convection: either the Mixing Length Theory (MLT) or Canuto et al. (1996, CGM) treatment; 2.the atmospheric boundary conditions: we use the new Vienna grids of ATLAS9 atmospheres (Heiter et al. 2002a), which were computed using either MLT (with alpha=Lambda/Hp=0.5) or CGM treatments. We compute as well grids of models with the NextGen (Allard & Hauschildt 1997) atmosphere models, and a 1 Msun grey MLT evolutionary track using the alpha calibration based on 2D-hydrodynamical models (Ludwig et al. 1999)}. These different grids of models allow us to analyze the effects of convection modeling on the non–grey PMS evolutionary tracks. We conclude that:

1. In spite of the solar calibration, if MLT convection is adopted a large uncertainty results in the shape and location of PMS tracks. 2. As long as the model of convection is not the same in the interior and in the atmosphere the optical depth at which we take the boundary conditions is an additional parameter of the models. 3. The comparison between NextGen and ATLAS9 based models shows that, in the Teff domain they have in common (4000–10000K), the PMS location is mainly determined by the treatment of the over-adiabatic convection. 4. Comparison with observations indicates that, for any convection model and for any of the atmosphere grids, convection in the PMS phase appears to be less efficient than what is necessary in order to fit the Sun.