32
Star Clusters as Crucial Tracers of Galaxy Evolution and Probes into Star Formation Splinter Meeting@AG2010, Bonn, 15 September 2010 Geneviève Geneviève Geneviève Geneviève Parmentier Parmentier Parmentier Parmentier Argelander Argelander - - Institut f Institut f ü ü r r Astronomie Astronomie Rheinische Rheinische Friedrich Friedrich - - Wilhelms Wilhelms Universit Universit ä ä t Bonn t Bonn Heidelberg Joint Astronomical Colloquium, 19 October 2010

Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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Page 1: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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

Page 2: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

22

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Ø �������������������������������������������"#$�%$����&�

Ø �� �������������'�����������������

Star Clusters: Fast Facts

Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 2 /

Page 3: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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 /

Page 4: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

44

������ ������������� ��������( �������)��������*����" )*&� ����������������( +������ ������������)� ����"+ �)&�

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 /

Page 5: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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

Page 6: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

66

log (m [m0]) log (m [m0])

dN

/dlo

gm

Large Magellanic Cloud cluster sample:

Fading limit

Page 7: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

77

log (m [m0]) log (m [m0])

dN

/dlo

gm

Large Magellanic Cloud cluster sample:

Fading limit

Gyrtdis 14 =

Completenesslimit: Mv=-4.7

Page 8: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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

Page 9: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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

Page 10: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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

Page 11: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

1111

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Ø ���������� �����������������������������������Ø ����� �������������������������������������������������������������������������������������

�������������������������� �������������������������������������

����� ����������������������� � ������������������������ ������������������

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Ø �������������������������������������������"#$�%$����&�

Ø �� �������������'�����������������

Star Clusters: Fast Facts

Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 11 /

Page 12: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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

Page 13: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

1313

log (m [m0]) log (m [m0])

dN

/dlo

gm

Gyrtdis 14 =

Completenesslimit: Mv=-4.7

Page 14: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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

Page 15: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

1515

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"����� .�#�/��0� � �������� �����&

1�!������������������������-� ��

"����� .�!�2%���������� ������� +�)&

.�!�$�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%

Page 16: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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

Page 17: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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), …

Page 18: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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

log−

∝≡

mmd

dN

mdm

dN

)()( Exp Gas at VRof end clusterboundcluster mFm ×=

��������������

���� ����������������������

������������

Time-Evolution of Cluster Mass Functions: What observers tell modellers …

Page 19: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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 /

������������������ ����������������������

������������ ����������������������

( )ε SFEboundF

Page 20: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

2020

GExp/ cross and Cluster Mass Functions

Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 20 /

log ( m [Mo] )

dN

/dlo

gm

Parmentier, Goodwin et al. (2008)

���

����

cross

GExpboundF

ττ

ε SFE ,

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%

��������������

���� ����������������������

���������� crosscross������ ����������������������

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Page 21: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

2121

Tidal Field Impact and Cluster Mass Functions

Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 21 /

���

����

� −

tidal

masshalf

cross

GExp

cross r

rt SFE ,,,

ττ

ετ

Half-mass radius rhalf-mass rcore

Circular velocity of iso-T potential VcGalactocentric distance Dgal

Embedded cluster mass mecl

rtidal

Weak t.f. impact

Strong t.f. impact

coreeclgalc

ecltidal mSFEmD

V

mGr

radiustidalLimiting

. with,

=��

��

�= 3/2

3/1

22

:

Page 22: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

2222

Half-mass radius—to—tidal radius ratio

Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 22 /

30.01

=���

����

pc

rcore

δcoremasshalfcore mrr ∝∝ −

2/1

101.0

1 ��

��

�=��

����

o

corecore

M

m

pc

r

3/1−− ∝ δcore

tidal

masshalf mr

r

3/13/1coreecltidal mmr ∝∝

3/1

104.0

1 ��

��

�=��

����

o

corecore

M

m

pc

r

4100

Page 23: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

2323

Fbound and Tidal Field Impact

Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 23 /

30.01

=���

����

pc

rcore

2/1

101.0

1 ��

��

�=��

����

o

corecore

M

m

pc

r

3/1

104.0

1 ��

��

�=��

����

o

corecore

M

m

pc

r

4100

Parmentier & Kroupa (in press)

Page 24: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

2424

The mcore - rcore Diagram as a Diagnostic Tool

Geneviève Parmentier - Bonn Argelander-Institut für Astronomie 24 /

30.01

=���

����

pc

rcore

2/1

101.0

1 ��

��

�=��

����

o

corecore

M

m

pc

r

3/1

104.0

1 ��

��

�=��

����

o

corecore

M

m

pc

r

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

Page 25: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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

104.0

1 ��

��

�=��

����

o

corecore

M

m

pc

r

log(m)

log (dN/dlogm)

CMF

Ecl.MF

Fbound

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

Page 26: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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: �

��

�=��

����

�Σ

o

corecorecore M

m

pc

r

Fbound

Constant Surface Density Cores: When more massive

means more vulnerable ...

Page 27: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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

Page 28: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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

Page 29: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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)

Page 30: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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)

Page 31: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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)

Page 32: Geneviève Parmentier - Heidelberg University · 14 l o g (d N / d t [M y r-1]) log ( age [yr] ) Bound Cluster Formation History and Cluster Dissolution Time-Scale in the LMC Geneviève

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