Mixing-length parameter for a sample of KIC stars

While conventionally the value of the mixing-length parameter, {alpha}, used is the solar-calibrated value, many studies have shown that other values of {alpha} are needed to properly model stars. This uncertainty in the value of the mixing-length parameter is a major source of error in stellar models and isochrones.

Using asteroseismic data, we determine the value of the mixing-length parameter required to properly model a set of about 450 stars ranging in logg, Teff, and [Fe/H]. The relationship between the value of {alpha} required and the properties of the star is then investigated. For Eddington atmosphere, non-diffusion models, we find that the value of {alpha} can be approximated by a linear model, in the form of {alpha}/{alpha}_{sun}_=5.426-0.101, log(g)-1.071, log(Teff)+0.437([Fe/H]).