The Effect of Metallicity-Dependent T-tau Relations on Calibrated Stellar Models

Mixing length theory is the predominant treatment of convection in stellar models today. Usually described by a single free parameter, alpha, the common practice is to calibrate it using the properties of the Sun, and apply it to all other stellar models as well. Asteroseismic data from Kepler and CoRoT provide precise properties of other stars which can be used to determine a as well, and a recent study of stars in the Kepler field of view found alpha to vary with metallicity. Interpreting alpha obtained from calibrated stellar models, however, is complicated by the fact that the value for alpha depends on the surface boundary condition of the stellar model, or T-tau relation. Calibrated models that use typical T-tau relations, which are static and insensitive to chemical composition, do not include the complete effect of metallicity on alpha. We use three-dimensional radiation-hydrodynamic simulations to extract metallicity-dependent T-tau relations and use them in calibrated stellar models. We find the previously reported alpha-metallicity trend to be robust, and not significantly affected by the surface boundary condition of the stellar models.