Theoretical Wind Models

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1 Theoretical Wind Models Jorick S. Vink Armagh Observatory (Northern Ireland) Gotz Grafener Joachim Bestenlehner Blagovest Petrov HST

2 Outline Winds: dm/dt Introduction different stellar winds O-star winds Very massive star (VMS) winds Evolved massive-star winds: LBVs and WRs Supernovae

3 Types of Stellar Winds Solar Winds Red (super)giant (super)winds Hot-star Winds

4 Wind driving mechanisms Gas pressure gradient Wave pressure gradient Radiation pressure gradient

5 Basic case: Isothermal Wind

6 Basic case: Isothermal Wind

7 Radiation-driven winds STAR Fe dm/dt = f (L,M,Teff,Z)

8 H atom Fe V atom

9 Wind dynamics

10 CAK Wind dynamics

11 CAK Wind dynamics

12 CAK Wind dynamics

13 CAK Wind dynamics

14 Wind momentum - Luminosity 14

15 Perturbations: LDI (Owocki) Because g = f (dv/dr) delta v --> delta g --> delta v

16 LDI hydro simulations (Owocki) Mdot expected to be preserved But diagnostics affected!

17 Clumping Observations: evidence for structured winds Empirical: dm/dt (new) = dm/dt (old) / sqrt(cl)

18 General Wind dynamics grad= f (dv/dr) CAK = Castor, Abbott & Klein (1975) Pauldrach et al. (1986) grad = f (r) Mueller & Vink (2008)

19 Alternative: Monte Carlo (Abbott & Lucy 1985; Vink et al. 2000)

20 Line acceleration: g(r) Mueller & Vink (2008)

21 Mass-loss iteration Mueller & Vink (2008) and Muijres et al. (2012)

22 Sub-surface convection Subphotospheric origin of clumping? (Cantiello et al. 2009)

23 Phosphorus V problem Empirical dm/dt reduced? (e.g. Fullerton et al. 2006)

24 Clumping: Porosity

25 Observations: UV + optical Ha (Oskinova et al See also Sunqvist et al. 2010, Surlan et al. 2013)

26 (Oscar Ramirez + VFTS) Empirical dm/dt down by factor of 3 - with Cl 6-8 If theory OK

27 VMS: High Gamma

28 What is Gamma?

29 What is Gamma?

30 What is Gamma?

31 Wind efficiency Vink et al. (2011)

32 KINK in Mass loss - Gamma Dependence WNh O stars Vink et al. (2011)

33 Mass loss calibration ETA = TAU = 1 dm/dt = L/cv Vink & Grafener (2012)

34 VLT Flames Tarantula Survey Vink et al. (2011) with g(r) Mueller & Vink Bestenlehner et al. (2014)

35 Upper HRD O RSG

36 Radius Inflation Ishii et al. (1999), Petrovic et al. (2006), Grafener et al. (2012)

37 Radius Inflation Grafener, Owocki & Vink (2012)

38

39 LBVs in the HRD Smith, Vink & de Koter (2004)

40 LBVs in the HRD Smith, Vink & de Koter (2004) Vink (2012)

41 LBVs in the HRD Vink et al. (1999) Petrov et al. (2016)

42 Change in mass loss dm/dt jumps up by factor 5

43 Bi-stability Jump HOT (O stars) COOL (B supergiants) modest dm/dt fast wind Fe IV large dm/dt slow wind Fe III

44 Radio supernova lightcurves Ryder et al. (2004) Soderberg et al. (2006) LBV!? Ryder et al. (2004) Kotak & Vink (2006)

45 The IIb SN 2013cu Gal-Yam et al. (2014): WR progenitor..

46 The IIb SN 2013cu Gal-Yam et al. (2014): Groh (2014) WR progenitor.. LBV/YHG

47 The IIb SN 2013cu Gal-Yam et al. (2014): WR progenitor.. Groh (2014) LBV/YHG Graefener & Vink (2016) LBV/YHG/p-RSG

48 Eddington Factor at end of Life Grafener & Vink (2016) - numbers from Ekstrom et al. (2012)

49 Summary dm/dt = f (L,M,Teff,Z) dm/dt = f (Gamma) dm/dt = f (T) dm/dt = f (Z) (VMS, WRs & LBVs, SNe) (LBV-SNe IIb, IIn) (GRBs, PISNe, SLSNe) Feedback as a function of metallicity

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