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Description
Stellar models typically use the mixing-length approximation as a way to implement convection in a simplified manner. 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]). This process is repeated using a variety of model physics, as well as compared with previous studies and results from 3D convective simulations.
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