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On the nature of the bi-stability jump in the winds of early-type supergiants

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 Added by Jorick S. Vink
 Publication date 1999
  fields Physics
and research's language is English




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We study the origin of the observed bi-stability jump in the terminal velocity of the winds of supergiants near spectral type B1. To this purpose, we have calculated a grid of wind models and mass-loss rates for these stars. The models show that the mass-loss rate jumps by a factor of five around spectral type B1. Up to now, a theoretical explanation of the observed bi-stability jump was not yet provided by radiation driven wind theory. The models demonstrate that the subsonic part of the wind is dominated by the line acceleration due to Fe. The elements C, N and O are important line drivers in the supersonic part of the wind. We demonstrate that the mass-loss rate jumps due to an increase in the line acceleration of Fe III below the sonic point. Finally, we discuss the possible role of the bi-stability jump on the mass loss during typical variations of Luminous Blue Variable stars.



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(Abridged) The behaviour of mass loss across bi-stability jump is a key uncertainty in models of massive stars. While an increase in mass loss is theoretically predicted, this has so far not been observationally confirmed. However, radiation-driven winds of massive stars are known to exhibit clumpy structures triggered by the line-deshadowing instability (LDI). Wind clumping affects empirical mass-loss rates inferred from density square-dependent spectral diagnostics. If clumping properties differ significantly for O and B supergiants across the bi-stability jump, this may help alleviate discrepancies between theory and observations. We investigate with analytical and numerical tools how the onset of clumpy structures behaves in the winds of O supergiants (OSG) and B supergiants (BSG) across the bi-stability jump. We derive a scaling relation for the linear growth rate of the LDI for a single optically thick line and apply it in both regimes. We run 1D time-dependent line-driven instability simulations to study the non-linear evolution of the LDI in clumpy OSG and BSG winds. Linear perturbation analysis for a single line shows that the LDI linear growth rate scales strongly with stellar effective temperature and terminal wind speed. This implies significantly lower growth rates for (cooler, slower) BSG winds than for OSG winds. This is confirmed by the non-linear simulations, which show significant differences in OSG and BSG wind structure formation, with the latter characterized by significantly weaker clumping factors and lower velocity dispersions. This suggests that lower correction factors due to clumping should be employed when deriving empirical mass-loss rates for BSGs on the cool side of the bi-stability jump. Moreover, the non-linear simulations provide a theoretical background toward explaining the general lack of observed intrinsic X-ray emission in (single) B star winds.
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