论文标题
Schwarzschild和Ledoux等于进化时段标准
Schwarzschild and Ledoux are equivalent on evolutionary timescales
论文作者
论文摘要
恒星进化模型使用Schwarzschild或Ledoux标准计算对流边界,但是在要使用的标准上仍然存在混乱。在这里,我们提出了对流区和相邻辐射区的3D流体动力学模拟,包括热和成分浮力。正如预期的那样,根据Ledoux标准不稳定的地区是对流的。最初,与对流区相邻的辐射区是Schwarzschild-unstable,但由于组成梯度而稳定。在许多对流的时间范围内,对流区通过夹带增长。对流区以施瓦茨柴尔德标准最初预测的大小饱和,尽管在这个最终状态下,施瓦茨柴尔德和莱杜克斯标准同意。因此,应使用Schwarzschild标准来确定恒星对流区的大小,除非在短暂的进化阶段,在此期间持续存在。
Stellar evolution models calculate convective boundaries using either the Schwarzschild or Ledoux criterion, but confusion remains regarding which criterion to use. Here we present a 3D hydrodynamical simulation of a convection zone and adjacent radiative zone, including both thermal and compositional buoyancy forces. As expected, regions which are unstable according to the Ledoux criterion are convective. Initially, the radiative zone adjacent to the convection zone is Schwarzschild-unstable but Ledoux-stable due to a composition gradient. Over many convective overturn timescales the convection zone grows via entrainment. The convection zone saturates at the size originally predicted by the Schwarzschild criterion, although in this final state the Schwarzschild and Ledoux criteria agree. Therefore, the Schwarzschild criterion should be used to determine the size of stellar convection zones, except possibly during short-lived evolutionary stages in which entrainment persists.