Improvements to stellar structure models, based on a grid of 3D convection simulations. II. Calibrating the mixing-length formulation

Abstract

We perform a calibration of the mixing length of convection in stellar structure models against realistic 3D radiation-coupled hydrodynamics (RHD) simulations of convection in stellar surface layers, determining the adiabat deep in convective stellar envelopes. The mixing-length parameter $\alpha$ is calibrated by matching averages of the 3D simulations to 1D stellar envelope models, ensuring identical atomic physics in the two cases. This is done for a previously published grid of solar-metallicity convection simulations, covering from 4200 K to 6900 K on the main sequence, and 4300-5000 K for giants with logg=2.2. Our calibration results in an $\alpha$ varying from 1.6 for the warmest dwarf, which is just cool enough to admit a convective envelope, and up to 2.05 for the coolest dwarfs in our grid. In between these is a triangular plateau of $\alpha$ ~ 1.76. The Sun is located on this plateau and has seen little change during its evolution so far. When stars ascend the giant branch, they largely do so along tracks of constant $\alpha$, with $\alpha$ decreasing with increasing mass.

22 pages, 15 figures, accepted for publication in MNRAS

References in corpus (13)

• Modules for Experiments in Stellar Astrophysics (MESA)
• A grid of MARCS model atmospheres for late-type stars I. Methods and general properties
• Correcting stellar oscillation frequencies for near-surface effects
• ASTEC -- the Aarhus STellar Evolution Code
• 3D Hydrodynamical Simulations of Surface Convection in Red Giant Stars. Impact on spectral line formation and abundance analysis
• Excitation of solar-like oscillations across the HR diagram
• A Stellar Model-fitting Pipeline for Asteroseismic Data from the Kepler Mission
• Improvements to Stellar Structure Models, Based on a Grid of 3D Convection Simulations. I. $T(\tau )$-Relations
• Models of alpha Centauri A and B with and without seismic constraints: time dependence of the mixing-length parameter
• A closure model with plumes I. The solar convection
• Modelling the components of binaries in Hyades: The dependence of the mixing-length parameter on stellar mass
• The Effect of Metallicity-Dependent T-tau Relations on Calibrated Stellar Models
• Grain Physics and Rosseland Mean Opacities

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