Calibration of the mixing-length parameter α for the MLT and FST models by matching with CO5BOLD models

The CoRoT and Kepler missions provided a wealth of high-quality data for solar-like oscillations. To make the best of such data for seismic inferences, we need theoretical models with precise near-surface structure, which has significant influence on solar-like oscillation frequencies. The mixing-le...

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Bibliographic Details
Main Authors: Sonoi, Takafumi (Author) , Ludwig, Hans-Günter (Author) , Caffau, Elisabetta (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 13 Nov 2018
In: Arxiv

Online Access:Verlag, Volltext: http://arxiv.org/abs/1811.05229
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Author Notes:T. Sonoi, H.-G. Ludwig, M.-A. Dupret, J. Montalbán, R. Samadi, K. Belkacem, E. Caffau, and M.-J. Goupil
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Summary:The CoRoT and Kepler missions provided a wealth of high-quality data for solar-like oscillations. To make the best of such data for seismic inferences, we need theoretical models with precise near-surface structure, which has significant influence on solar-like oscillation frequencies. The mixing-length parameter, $\alpha$, is a key factor for the near-surface structure. In the convection formulations used in evolution codes, the $\alpha$ is a free parameter that needs to be properly specified. We calibrated $\alpha$ values by matching entropy profiles of 1D envelope models with those of 3D CO$^5$BOLD models. For such calibration, previous works concentrated on the classical mixing-length theory (MLT). Here we also analyzed the full spectrum turbulence (FST) models. For the atmosphere part in the 1D models, we use the Eddington grey $T(\tau)$ relation and the one with the solar-calibrated Hopf-like function. For both the MLT and FST models with a mixing length $l=\alpha H_p$, calibrated $\alpha$ values increase with increasing
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