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Star Clusters as Crucial Tracers of Galaxy Evolution
and Probes into Star Formation
Splinter Meeting@AG2010, Bonn, 15 September 2010
Geneviève Geneviève Geneviève Geneviève ParmentierParmentierParmentierParmentier
ArgelanderArgelander --Institut fInstitut füürr AstronomieAstronomieRheinischeRheinische Fr iedr ichFr iedr ich--WilhelmsWilhelms UniversitUniversitäät Bonnt Bonn
Heidelberg Joint Astronomical Colloquium, 19 October 2010
22
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Star Clusters: Fast Facts
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 2 /
33
Cluster mass vs cluster age for a sample of ≅1,000 clusters in the Large Magellanic Cloud
A Vital Diagnostic Tool: the Age-Mass Diagram
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 3 /
44
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1
2
log−
−
∝≡
∝
mmd
dN
mdm
dN
log(dN/dlogm)
log(m)
t=20Myr t=2Gyr(100×××× more SCs if
CFR=cst)
Age-Mass Diagram and Size-of-Sample Effect
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 4 /
55
Age-Mass Diagram - Do Not Trust Your Eyes: 1/2
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 5 /
Size-of-Sample Effect
Cluster mass vs cluster age for a sample of ≅1,000 clusters in the Large Magellanic Cloud
66
log (m [m0]) log (m [m0])
dN
/dlo
gm
Large Magellanic Cloud cluster sample:
Fading limit
77
log (m [m0]) log (m [m0])
dN
/dlo
gm
Large Magellanic Cloud cluster sample:
Fading limit
Gyrtdis 14 =
Completenesslimit: Mv=-4.7
88
Age-Mass Diagram - Do Not Trust Your Eyes: 2/2
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 8 /
Evolutionary fading:for a given mass,
older clusters are fainter
Size-of-Sample Effect
Cluster mass vs cluster age for a sample of ≅1,000 clusters in the Large Magellanic Cloud
99
Age-Mass Diagram - Do Not Trust Your Eyes: 2/2
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 9 /
Higher SFR
Improved detection
limit
Cluster mass vs cluster age for a sample of ≅1,000 clusters in the Large Magellanic Cloud
1010
Complete sample
At a given age:the lower the mass, the more incomplete
the sample
100% completenesslimit: Mv=-4.7
Cluster mass vs cluster age for a sample of ≅1,000 clusters in the Large Magellanic Cloud
1111
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Star Clusters: Fast Facts
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 11 /
1212
log (m [M0]) log (m [M0])
dN
/dlo
gm
Modelling of Secular Evolution: Fig.17 in Parmentier & de Grijs (2008),based on the models of Baumgardt & Makino (2003) and Lamers et al (2005)
75Myr
300Myr
1Gyr
5Gyr
Secular Evol.: Carving a Turnover in the ICMF
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 12 /
Quicker Slower
Vertical scaling is arbitrary
1313
log (m [m0]) log (m [m0])
dN
/dlo
gm
Gyrtdis 14 =
Completenesslimit: Mv=-4.7
1414
log
(d
N/d
t[M
yr-1
])
log ( age [yr] )
Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 14 /
t4dis = 1Gyr
t4dis = 8Gyr
Secular evolution modelling Bound Cluster Formation History from the observed cluster age distribution
Parmentier & de Grijs 2008
Predicted Bound CFR
Observed age distribution
50Myr – 1.5GyrMass ratio : 0.50Number ratio: 0.03
1515
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.�!�$�low- and high-mass clusters equally
contribute to the total mass (star clusters) 3 4 5 6 logm
m2× dN/dm
α−∝ mdm
dN : Function Mass Law-Power
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 15 /
Cluster Mass Functions: mass versus number
2 3 4 5 6 log(m)
Numbers: 90% 9% 0.9% 0.09%
Masses: 25% 25% 25% 25%
1616
log
(d
N/d
t[M
yr-1
])
log ( age [yr] )
Gas-Embedded Cluster Formation History: the next step ...
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 16 /
Violent relaxation
Secular evolution modelling:
(Bound) CFR
Violent relaxation modelling:
(Gas-embedded) CFR SFR
�
1717
Violent Relaxation (VR): Observable SignaturesAnd Prime Parameters
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 17 /
Intra-Cluster Gas-Expulsion and Violent Relaxation
Observable Imprints upon Star Cluster Systems :Cluster mass distribution, Cluster age distribution, Cluster radius distribution,Ratio of the total mass in clusters to
the total stellar mass in gas-embedded clusters
Geyer & Burkert (2001)
time
Effects of Gas expulsion - VIOLENT RELAXATIONCluster expansionCluster infant weight-loss and infant mortality
Prime parameters: (e.g. Baumgardt & Kroupa 2007)
- SFE in cluster-forming molecular cores
- Gas expulsion time-scale: ττττGExp /ττττcross
- Impact of external tidal field (environment)
See also Adams (2000), Vesperini et al (2009), …
1818
log m [[Mo]
Lo
g[d
N/d
log
m]
CMF3Myr ( = -2.0)
CMF50Myr ( = -2.0)
Violent Relaxation: Cluster Mass Functions
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 18 /
Infant mortality/
weight-loss
1
2
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−
∝≡
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dN
mdm
dN
)()( Exp Gas at VRof end clusterboundcluster mFm ×=
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Time-Evolution of Cluster Mass Functions: What observers tell modellers …
1919
SFE and Cluster Mass Functions
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coreboundcluster mSFESFEFm ××= )()( VRof end
Instantaneousgas removal,
weak tf impact
Fb
ou
nd
SFE
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 19 /
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GExp/ cross and Cluster Mass Functions
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 20 /
log ( m [Mo] )
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/dlo
gm
Parmentier, Goodwin et al. (2008)
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GExpboundF
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Constant core radius:More massive cores have- a deeper potential well- a slower gas-expulsion t-s- can survive despite a low
SFE of, say, 20%
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Tidal Field Impact and Cluster Mass Functions
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 21 /
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masshalf
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GExp
cross r
rt SFE ,,,
ττ
ετ
Half-mass radius rhalf-mass rcore
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Embedded cluster mass mecl
rtidal
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Strong t.f. impact
coreeclgalc
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Half-mass radius—to—tidal radius ratio
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Fbound and Tidal Field Impact
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Parmentier & Kroupa (in press)
2424
The mcore - rcore Diagram as a Diagnostic Tool
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 24 /
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External tidal field strength: (Vc, Dgal) rh/rt in [log(r),log(m)]
rh/rt < 0.05: tf does not matter(does not necessarily imply weak tf !)
rh/rt > 0.15: cluster survivability
demands long ττττGExp /ττττcross and high SFE
tf impact impedes cl. survivability
As if no external tf
core
rcore
core
2525Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 25 /
Cluster infant weight-loss is mass-independent, the shape of the cluster mass function does not evolve during VR
3/1
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Constant Volume Density Cores: mass-independent infant weight-loss
core
4100
Tidal Field Impact and Cluster Mass Functions:Probing the cluster-forming core mass-radius relation
2626
Tidal Field Impact and Cluster Mass Functions
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 26 /
log ( m [Mo] )
dN
/dlo
gm
SFE=0.40Dgal=5kpc
2/1
101.0
1: �
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Constant Surface Density Cores: When more massive
means more vulnerable ...
2727
log
(d
N/d
t[M
yr-1
])
log ( age [yr] )
Galaxy Star Formation Histories: evena long journey starts with one single footstep ...
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 27 /
Secular evolution modelling:
(Bound) CFR
Violent relaxation modelling:
(Gas-embedded) CFR SFR
����
����
� −
tidal
masshalf
cross
GExpbound r
rF SFE ,,
ττ
ε
2828
Core mass-radius relations: observations
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 28 /
Density profiles: (rcore,mcore) @ 1E4 cm-3
Mueller+02
?
Core mass-radius diagram:imprint of
- measurement method,or of
- cluster-formation physics?
Limited baseline in cluster-forming core mass
Lack of high-mass data
core or core ?
when picking-up obs dataread (part of) the paper
2929
Core mass-radius relations: so what ... ?
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 29 /
- Red circles: C18O cores showing signs of SF activity
C18O
Car GMC (Yonekura+05)Orion B (Aoyama+01)
3030
Core mass-radius relations: so what ... ?
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 30 /
- Red circles: C18O cores showing signs of SF activity
C18O
- Most of them also host a clump at 1E5 cm-3 (H13CO+)
SF takes place in regions where the density is higher than a threshold, i.e. only in the densest regions of C18O cores
Car GMC (Yonekura+05)Orion B (Aoyama+01)
3131
* ** ** *
Core mass-radius relations: so what ... ?
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 31 /
- Red circles: C18O cores showing signs of SF activity
- Most of them also host a clump at 1E5 cm-3 (H13CO+)
SF takes place in regions where the density is higher than a threshold, i.e. only in the densest regions of C18O cores
C18O
Why ? Efficient decay of turbulence … (Klessen 2003)
Consequence: the local SFE must be measured over the cluster volume, not over the whole C18O core
H13CO+ observations suggest:Constant volume density cluster-forming cores, which lead to mass-independent infant weight-loss (t.f. impact),as suggested by observations
Car GMC (Yonekura+05)Orion B (Aoyama+01)
Parmentier & Kroupa (in press)
3232
Conclusions
Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 32 /
log
(d
N/d
t[M
yr-1
])
log ( age [yr] )
Observed age distribution of
LMC star clusters
SFH
Properties of young star cluster systems sharp insights into the clustered mode of star formation
star formation conditions determinewhat mass fraction clusters lose as they age
information needed to reconstruct galaxy SFHtime-variations ? (e.g. metallicity)
Most exciting years arestill to come: HERSCHEL, ALMA, …
“ Even a long journey starts with a one sinle step”
Oriental saying