Turbulence Supported Massive Star Envelopes

Abstract

The outer envelopes of massive ($M\gtrsim 10M_{\odot }$) stars exhibit large increases in opacities from forests of lines and ionization transitions (particularly from iron and helium) that trigger near-surface convection zones. One-dimensional models predict density inversions and supersonic motions that must be resolved with computationally intensive 3D radiation hydrodynamic (RHD) modeling. Only in the last decade have computational tools advanced to the point where ab initio 3D models of these turbulent envelopes can be calculated, enabling us to present five 3D RHD Athena++ models (four previously published and one new 13$M_{\odot }$ model). When convective motions are sub-sonic, we find excellent agreement between 3D and 1D velocity magnitudes, stellar structure, and photospheric quantities. However when convective velocities approach the sound speed, hydrostatic balance fails as the turbulent pressure can account for 80% of the force balance. As predicted by Henyey, we show that this additional pressure support leads to a modified temperature gradient which reduces the superadiabaticity where convection is occurring. In addition, all five models display significant overshooting from the convection in the Fe convection zone. As a result, the turbulent velocities at the surface are indicative of those in the Fe zone. There are no confined convection zones as seen in 1D models. In particular, helium convection zones seen in 1D models are significantly modified. Stochastic low frequency brightness variability is also present in the 13$M_{\odot }$ model with comparable amplitude and characteristic frequency to observed stars.

8 pages, 4 figures, 1 table

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• Structure formation in O-type stars and Wolf-Rayet stars
• Micro-turbulence across the Hertzsprung-Russell diagram. Observational constrains for stars in the MW