The HR diagram stability enigmas and the asteroseismology of CoRoT targets
Part II: Diffusion and radiative forces: problems and solutions
Institut d’Astrophysique et de Géophysique de Liège Belgian Asteroseismology Group
Part. I Diffusion effects in MS stars : overview
Part. : Diffusion effects in MS stars : overview
Diffusion effects : overview
• In slowly rotating and/or strongly magnetic stars • Main effects : builds chemical composition gradients • Indirect effects : - on internal structure - on opacity - on convective regions - κ-mechanism - convection-related mechanism
Part. II Modeling diffusion in A and B type stars
Part II : Modeling diffusion in A and B type stars
Modeling diffusion with CLES
In stars with Teff > 6000 K
Diffusion = grad (P, T, c) + radiative accelerations
Development of C L E S
(Code Liégeois d’Evolution Stellaire)
Implementation of radiative accelerations
Collaboration Georges Alecian (Meudon)
Part II : Modeling diffusion in A and B type stars
The Liege contribution
• β Cephei – SPB stars :
- Miglio, Bourge, Montalbán, Dupret, 2007, CoAst, to be published - Bourge, Théado, Thoul, 2007, CoAst, to be published
• Rapidly oscillating Ap stars :
- Théado, Dupret, Noels, 2007, in preparation - Théado, Vauclair, Cunha, 2005, A&A 443, 627 - Théado, Cunha, 2006, CoAst 147, 101
• Ae/Be Herbig stars : HD 104237
- Dupret, Théado, Böhm et al., 2007, CoAst, to be published
Part II : Modeling diffusion in A and B type stars
β Cephei and SPB Stars
Observational context
β Ceph
SPB
- B0 - B3 - low order p and/or g modes - P = 1.6 – 8 h
- B2 – B9 - High order g modes - P = 0.5 – 5 days
, , , : CoRot Targets
Excitation : κ-mechanism of iron at 2x105K
Part II : Modeling diffusion in A and B type stars
β Cephei and SPB Stars
Theoretical challenges
- detection of β Cephei in low metallicity environments
(Kolaczkowski et al. 2006)
- unexplained excited modes in some β Cephei stars
(Pamyathnyk et al. 2004, Ausseloos et al. 2004, Handler et 2005) al.
- detection of hybrid SPB and β Cep pulsators
(Handler et al. 2004, 2006, Jerzykiewicz et al. 2005, Chapellier et al. 2006, Balona et al. 2002)
- detection of SPB type pulsations in cool B type stars
(Antonello et al. 2006, Bruntt et al. 2006)
Part II : Modeling diffusion in A and B type stars
β Cephei and SPB Stars
Modeling diffusion effects
Models with 2.5M < M < 12M
Iron parametric profile = (Fe/Fe0)
Référence : Miglio, Bourge, Montalbán and Dupret, 2007, CoAst
Part II : Modeling diffusion in A and B type stars
β Cephei and SPB Stars
Modeling diffusion effects
Models with 2.5M < M < 12M Stability analysis
Référence : Miglio, Bourge, Montalbán and Dupret, 2007, CoAst
Part II : Modeling diffusion in A and B type stars
β Cephei and SPB Stars
Modeling diffusion effects
Models with 2.5M < M < 12M Stability analysis
β Cephei
SPB
Référence : Miglio, Bourge, Montalbán and Dupret, 2007, CoAst
Part II : Modeling diffusion in A and B type stars
β Cephei and SPB Stars
Modeling diffusion effects
- enlargment of the theoretical instability strip - excitation of β Cephei pulsations in low Z environment - more excited modes (with lower periods) - enlargment of the overlap between SPB and β Cephei
β Cephei
SPB
Référence : Miglio, Bourge, Montalbán and Dupret, 2007, CoAst
Part II : Modeling diffusion in A and B type stars
Rapidly oscillating Ap stars
Observational context
β Ceph
SPB
- B ≈ 102 to 103 G - abundance anomalies patches
Bp -A p
35 roAp
- P = 4-20 min (0.8 ≤ ν ≤ 4.2 mHz) - high order p modes - excitation : κ-mechanism of H
δ Scuti γ Doradus Solar like
Part II : Modeling diffusion in A and B type stars
Rapidly oscillating Ap stars
Theoretical challenges
Standard models : excitation of low frequency modes (δ-Scuti) through the κ-mechanism of He • chemical peculiarities ? • excitation of high frequency modes (in H ionization region) ? • damping of low frequency modes (in HeII ionization region) ?
non standard processes involved : - diffusion - magnetic field …
Part II : Modeling diffusion in A and B type stars
Rapidly oscillating Ap stars
Modeling diffusion
- H and He diffusion
Théado, Vauclair and Cunha (2005, A&A) Théado & Cunha (2006, CoAst)
roAp noAp M=1.8 M - Diffusion 1 1
1.8M 1.8M
δ-Scuti modes
Excited modes
2.0M 2.0M
M=1.8M – model 2
3 3 2 2
1.6M 1.6M
5 5 4 4
H+ He++
1
5
ν(mHz)
Part II : Modeling diffusion in A and B type stars
Rapidly oscillating Ap stars
Modeling diffusion
- H and He diffusion
Théado, Vauclair and Cunha (2005, A&A) Théado & Cunha (2006, CoAst)
roAp noAp
Theoretical instability strip
Part II : Modeling diffusion in A and B type stars
Rapidly oscillating Ap stars
Modeling diffusion
- H and He diffusion - Heavy elements diffusion ?
roAp noAp
Théado, Vauclair and Cunha (2005, A&A) Théado & Cunha (2006, CoAst)
In progress …
Theoretical instability strip
Part. III Diffusion in F and G type stars
Part III : Diffusion in F and G type stars
The Liege contribution
Solar type stars :
- Miglio, Montalbán, Maceroni, 2007, MNRAS 377, 373 - Théado, Vauclair, Charpinet et al., 2005, A&A 437, 553 - Miglio, Montalbán, 2005, A&A 441, 615
γ Doradus stars
- Montalbán, Miglio, Théado, CoAst 2007, to be published
Part III : Diffusion in F and G type stars
Diffusion effects in solar type stars ?
Diffusion = grad (P, T, c) = large time-scale - What are the effects of diffusion on solar type stars ? - Will this effects be detectable with COROT ?
Part III : Diffusion in F and G type stars
Diffusion effects in solar type stars ?
• Pairs of models with similar M and external parameters Teff, L
+ + +
---- standard models ___ models with diffusion
Référence : Théado et al. 2005, A&A 437, 560
Part III : Diffusion in F and G type stars
Diffusion effects in solar type stars ?
He++ He variation M=1.2M
standard diffusion
Part III : Diffusion in F and G type stars
Diffusion effects in solar type stars ?
He++ He variation
standard diffusion
zc boundary
Part III : Diffusion in F and G type stars
Diffusion effects in solar type stars ?
He++ He variation l=0 l=1 l=2
standard diffusion
Part III : Diffusion in F and G type stars
Diffusion effects in solar type stars ?
Probing diffusion effects with COROT ? • Envelope He abundance : ok - Basu, Mazumdar, Antia, Demarque (2004) - Verner, Chaplin, Elsworth (2006) : obs. > 84 days • Acoustic radius of the base of the convective envelope : ?? - Ballot, Turck-Chieze, Garcia (2004) : ok for 150 days - Verner, Chaplin, Elsworth (2006) : obs. > 182 days
Conclusions on microscopic diffusion effects
in slow rotators and magnetic stars
κ-mechanism
SPB
β Ceph
H
gM
- strong effects on excitation - improve agreement between models and observations
Am
n
Bp -A p
-F
δ Scuti γ Doradus Solar like
m
Conclusions on microscopic diffusion effects
in slow rotators and magnetic stars
κ-mechanism
SPB
β Ceph
H
gM
- strong effects on excitation - improve agreement between models and observations
Am
n
Bp -A p
convection-related mechanism
-F m
δ Scuti γ Doradus Solar like
- Oscillation frequencies shift
END