arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1909.00701astro-ph.SRastro-ph.EP
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测试冷星半径的熵校准:半人马座α星A和B的模型

Testing the entropy calibration of the radii of cool stars: models of alpha Centauri A and B

F. Spada, P. Demarque

摘要:

我们提出了半人马座阿尔法星A和B的模型,实现了混合长度参数alpha_MLT的熵校准,最近开发并成功应用于太阳(Spada et al. 2018,ApJ,869,135)。在这项技术中,α_MLT在一维恒星演化代码的值进行校准,以匹配来自三维辐射流体动力学模拟的恒星对流信封,其有效温度,表面重力,和金属丰度的绝热比熵的选择一致沿演化轨迹。在恒星演化模型中,对流的传统处理依赖于一个恒定的、太阳校准的α_MLT。然而,越来越多的证据表明,这一过程并不能令人满意地再现冷恒星的观测半径。例如,对alpha Cen A和B进行建模需要将alpha_MLT调整为不同的非日光值。α Cen A和B的熵校准模型在没有外部调整参数的情况下在1%(或更好)内再现其观察到的半径。对于α Cen B(在1 sigma内),拟合质量与具有自由调整的α_MLT的模型相当,而对于α Cen A(在~ 2.5 sigma内),拟合质量不太令人满意。该准确度水平与方法的固有不确定性一致。我们的研究结果表明,熵校准方法产生的恒星模型的半径精度在1%以内的能力。这在准确描述系外行星宿主恒星及其行星系统方面尤其重要。

英文摘要:

We present models of alpha Centauri A and B implementing an entropy calibration of the mixing-length parameter alpha_MLT, recently developed and successfully applied to the Sun (Spada et al. 2018, ApJ, 869, 135). In this technique the value of alpha_MLT in the 1D stellar evolution code is calibrated to match the adiabatic specific entropy derived from 3D radiation-hydrodynamics simulations of stellar convective envelopes, whose effective temperature, surface gravity, and metallicity are selected consistently along the evolutionary track. The customary treatment of convection in stellar evolution models relies on a constant, solar-calibrated alpha_MLT. There is, however, mounting evidence that this procedure does not reproduce the observed radii of cool stars satisfactorily. For instance, modelling alpha Cen A and B requires an ad-hoc tuning of alpha_MLT to distinct, non-solar values. The entropy-calibrated models of alpha Cen A and B reproduce their observed radii within 1% (or better) without externally adjusted parameters. The fit is of comparable quality to that of models with freely adjusted alpha_MLT for alpha Cen B (within 1 sigma), while it is less satisfactory for alpha Cen A (within ~ 2.5 sigma). This level of accuracy is consistent with the intrinsic uncertainties of the method. Our results demonstrate the capability of the entropy calibration method to produce stellar models with radii accurate within 1%. This is especially relevant in characterising exoplanet-host stars and their planetary systems accurately.

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