simulations on a moving mesh: the clustered formation of ...€¦ · 1 mh-1 mh-2 mh-3 0.1 1 10 1...
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Simulations on a Moving Mesh:The Clustered Formation of Population III Protostars
Thomas Greif
MPA Garching
First Galaxy Workshop Ringberg
Thomas Greif The Clustered Formation of Population III Protostars
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Outline
Collaborators:
◮ Volker Springel, Simon White (HITS, MPA)
◮ Ralf Klessen, Simon Glover, Paul Clark, Rowan Smith (ITA Heidelberg)
◮ Athena Stacy, Volker Bromm (University of Texas)
◮ Naoki Yoshida (IPMU Tokio)
Outline:
◮ ‘Status quo’ of Population III Star Formation
◮ New Results obtained with Arepo
◮ Implications and Outlook
Thomas Greif The Clustered Formation of Population III Protostars
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Review
‘Canonical’ formation channel of Population III stars (Abel et al. 02):
◮ Virialization of & 105 M⊙ DM halos at z ∼ 20 (3σ)
◮ Activation of H2 cooling
Thomas Greif The Clustered Formation of Population III Protostars
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Review
◮ Central gas cloud becomes Jeans unstable
◮ Runaway collapse to extremely high densities
◮ Formation of a protostar with 10−3 M⊙
300 parsec 5 parsec
10 astronomical unit25 solar−radii
(A) cosmological halo (B) star−forming cloud
(C) fully molecular part(D) new−born protostar
Yoshida et al. 06, 08
Thomas Greif The Clustered Formation of Population III Protostars
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Review
Predicted mass scale of Population III stars:
◮ Accretion onto central protostar: M ∝ c3s ∝ T 3/2
◮ Primordial gas cloud: ≃ 200 K◮ Present-day molecular clouds: ≃ 10 K◮ → Pop III stars accrete ∼ 100 times more aggressively
◮ Accreted mass within Kelvin-Helmholtz time → M∗ ∼ 100 M⊙
(Bromm et al. 04, O’Shea et al. 07)
◮ More detailed semianalytical model → M∗ ∼ 100 M⊙
(Tan & McKee 04, McKee & Tan 08)
Thomas Greif The Clustered Formation of Population III Protostars
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Review
What about fragmentation?
◮ No fragmentation: Abel et al. 02, O’Shea et al. 05, Gao et al. 07,
Yoshida et al. 06, 08
◮ Fragmentation in one out of five minihalos: Turk et al. 09
However:
Courant-Friedrichs-Lewy (CFL) criterion prevents simulations from prob-
ing beyond the initial collapse, where simulations of present-day star for-
mation show fragmentation
→ Usage of sink particles to avoid CFL constraint:
◮ Low densities: Stacy et al. 10
◮ Idealized initial conditions: Clark et al. 08, 11a
◮ Cosmological IC’s and high densities: Clark et al. 11b, Greif et al. 11
Thomas Greif The Clustered Formation of Population III Protostars
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Simulations
The moving-mesh code AREPO (Springel 10):
◮ Maintains adaptivity of SPH with the hydrodynamical accuracy of AMR
◮ No preferred directions, Galilean-invariant
◮ Simple implementation of additional physics (chemistry, sink particles)
Setup:
◮ Cosmological zoom simulations initialized at z = 99
◮ Five different box sizes ranging from 250 to 1000 kpc
◮ Initial DM and gas particle masses: ≃ 3.53 and 0.72 M⊙
Additional physics:
◮ Complete primordial chemistry and cooling network
◮ Additional runtime refinement to ensure 128 cells per Jeans length
◮ Sink particles inserted at a density of nH ≃ 1017 cm−3
Thomas Greif The Clustered Formation of Population III Protostars
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Results
MH-1 | 5 kpc (comoving) MH-1 | 10 pc MH-1 | 100 AU
MH-2 | 5 kpc (comoving) MH-2 | 10 pc MH-2 | 100 AU
◮ Representative sample of minihalos with Mvir ≃ 1 – 5 × 105 M⊙
◮ Dynamical range of more than 20 orders of magnitude in density
Thomas Greif The Clustered Formation of Population III Protostars
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Results
Initial fragmentation phase:
◮ Formation of a
circumstellar disk
◮ Fragmentation and
formation of a secondary
protostar
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Results
Fragmentation can be
understood in terms of a
Toomre analysis:
◮ Q = csω/πGΣ
Governed by:
◮ cs: sound speed
◮ ω: orbital frequency
◮ Σ: surface density
For Q < 1: disk becomes
Toomre-unstable
Clark et al. 11b
Thomas Greif The Clustered Formation of Population III Protostars
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Results
Full evolution:
◮ 1000 yr of continued
fragmentation and
accretion
◮ Formation of a protostellar
cluster consisting of both
low and high-mass stars
Thomas Greif The Clustered Formation of Population III Protostars
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Results
Protostellar mass function
1
MH-1
1
MH-1
MH-2
MH-2
MH-3
MH-3
0.1 1 10
1
MH-4
0.1 1 10
1
MH-4
0.1 1 10
MH-5
0.1 1 10
MH-5
0.1 1 10
0.1 1 10
Sum / 2
M* [MO • ]
nu
mb
er
◮ Formation of a cluster with of order 10 protostars in every minihalo
◮ Relatively flat mass function → most of the mass in high-mass stars
Thomas Greif The Clustered Formation of Population III Protostars
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Results
Chaotic N-body interactions:
◮ Ejection of low-mass
protostars
◮ Survival to the present
day?
Cautionary note:
◮ Interactions often occur
on the scale of the
accretion radius!
0.1 1.0 10.0 100.0Minimum separation [RO • ]
10
100
Su
m o
f p
roto
stel
lar
rad
ii [
RO • ]
possible merging
no merging
Thomas Greif The Clustered Formation of Population III Protostars
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Results
Speculative Implications:
◮ Typical mass reduced to ∼ 10 M⊙
◮ Less ionizing photons per stellar baryon
◮ Different nucleosynthetic signature
◮ Less pair-instability supernovae
◮ More core-collapse supernovae, GRB’s
Apache Point ObservatoryIf dynamical ejections are real:
◮ Possibility for low-mass Population III stars
◮ High concentration in Galactic bulge (Diemand et al. 05, Gao et al. 10)
◮ Near-IR spectroscopy of bulge stars with APOGEE (Majewski et al. 07)
Thomas Greif The Clustered Formation of Population III Protostars
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Outlook
Advantages of sink particles:
◮ Avoid CFL constraint
◮ Computationally
inexpensive
Disadvantages:
◮ Unreliable accretion rates
◮ Questionable small-scale
interactions
→ Replace sink particles
Restrictions:
◮ Slow and expensive
◮ Feasible: 10 – 100 yr
0 1 2 3 4 5x [AU]
0
1
2
3
4
5
y [
AU
]
14
16
18
20
t = 0.02 yr log nH [cm-3]
Thomas Greif The Clustered Formation of Population III Protostars
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Outlook
Advantages of sink particles:
◮ Avoid CFL constraint
◮ Computationally
inexpensive
Disadvantages:
◮ Unreliable accretion rates
◮ Questionable small-scale
interactions
→ Replace sink particles
Restrictions:
◮ Slow and expensive
◮ Feasible: 10 – 100 yr
0 1 2 3 4 5x [AU]
0
1
2
3
4
5
y [
AU
]
14
16
18
20
t = 0.02 yr log nH [cm-3]
Thomas Greif The Clustered Formation of Population III Protostars
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Outlook
Fragmentation in the present-day universe
Kratter et al. 10
Thomas Greif The Clustered Formation of Population III Protostars