17 may 04leonidas moustakas stsci 1 high redshift (z~4) galaxies & clustering lexi moustakas...
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High redshift (z~4) High redshift (z~4) galaxiesgalaxies
& clustering& clusteringLexi Moustakas
STScI
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creditcredit
Everybody at GOODS & ODT!
Soo Lee (JHU)(advisor: M. Giavalisco)
Paul Allen (MSO, PhD@Oxf)
Emily MacDonald (Oxf)(advisor: G. Dalton)
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3 GOODS: Giavalisco et al 2004Montage courtesy of F. Summers
total GOODS: ~320 arcmin2
see M. Giavalisco talk see M. Giavalisco talk tomorrow!tomorrow!
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Finding high-z galaxies: Finding high-z galaxies: z~4z~4
The Lyman-dropout technique, B-V vs V-z (for z~4) -- multiwavelength is KEY
The space-based GOODS data use the z-band & are extremely deep compared to the ground -- ~2-3 mag fainter.
In total GOODS ACS area, ~2000 z~4 galaxies
B-dropouts, z~4
Giavalisco et al. 2004
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LBG redshift distributions,LBG redshift distributions,from monte carlo from monte carlo
simulationssimulations
B V i
The redshift distributions are well-constrained through simulations.
The completeness is more difficult to pin down.
(The B-drops are the z~4).
Giavalisco & S. Lee 2004
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morphologies of faint z~4 morphologies of faint z~4 galaxiesgalaxies
The sizes of star forming galaxies above z~1 are sub-arcsec (Ferguson et al 2004)
As shown here, the morphologies are varied and can be complex
The pair/group statistics are crucial for characterizing environment
VizViz
1''1''
from the v1.0 GOODS data
Check out the scale!
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clustering of faint z~4 clustering of faint z~4 galaxiesgalaxies
With the angular correlation function measured directly, and a simulated N(z), we invert & calculate the spatial correlation function
(r) = (r/r0)- ,
usually assumed to be a power-law on relatively large scales, with characteristic scale r0.
S. Lee et al. 2004, in prep.
w(theta) vs angular separation
}}
nb: many neighbors within 10-20arcsec!
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clustering with app. clustering with app. magnitudemagnitude
Clustering measured in the GOODS data to different magnitude limits. (The error bars are smaller than the points!)
There is evidence for stronger clustering in the brighter samples... (See also Giavalisco & Dickinson 2001).
GOODS data from S. Lee et al. 2004, in prep.
spatial clustering vs limiting apparent magnitude
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clustering with abs. clustering with abs. magnitudemagnitude
Transform (approximately) to rest-frame BJ magnitudes
The brightest point is sub-L*
What happens if one goes to much brighter absolute magnitudes??
=> We don't know from GOODS! Area is not large enough to find very rare objects...
spatial clustering vs absolute magnitude (approximate)
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The Oxford-Dartmouth The Oxford-Dartmouth Thirty-Degree (ODT) Thirty-Degree (ODT)
SurveySurveyMacDonald et al 2004, MNRAS, in pressMacDonald et al 2004, MNRAS, in press
5 limits completion vega to dateU > 25B 26.0V 25.5 R 25.25 >23 deg2
i 24.5Z 22
K < 19 > 3.5 deg2
MacDonald et al. 2004Moustakas et al in prep (K-band part)
andr 0018+3452lynx 0909+4050herc 1639+4524
virgo 1200+0300
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The ODT Survey: The ODT Survey: A wide-field multi-A wide-field multi- survey survey
The Andromeda field of the ODT Survey
A GOODS Field
MacDonald et al. 2004
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clustering of bright z~4 clustering of bright z~4 galaxiesgalaxies
Clustering measurements of B-drops in ODT Survey, from a ~2deg2 subset
Allen et al. 2004, MNRAS
N(z)'s 'realized', and angular correlation function inverted.
These LBG samples are bright, with i<24.5 (2mag brighter than GOODS)
Allen et al. 2004
}}
nb: no neighbors within 10-20arcsec!
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L-dependent clustering at L-dependent clustering at z~4z~4
GOODS: S. Lee et al.ODT: P. Allen et al.
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L-dependent clustering at L-dependent clustering at z~4z~4
L* is around here
GOODS: S. Lee et al.ODT: P. Allen et al.
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L-dependent clustering at L-dependent clustering at z~0z~0
z~0
GOODS: S. Lee et al.ODT: P. Allen et al.2dF: Norberg et al. 2002
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cosmic variance in this cosmic variance in this resultresult
Assuming simple galaxy-halo correlation larger volumes = less cosmic variance smaller clustering = less cosmic variance
We calculate a similar level of cosmic variance across the z~4 result -- GOODS: small volume but small clustering -> cv~20% ODT-S: large volume but large clustering -> cv~40%
To bring the high-L variance down to 20%, need >10 times more area! But even that isn't enough.
Why is that? -- Onwards, to:
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beyond sweet peasbeyond sweet peas
Clustering, (dark matter) masses, and environment
With analytic LCDM, we can connect the clustering to the minimum dark matter halo mass.
Combining the clustering with the space densities, a Halo Occupation Distribution (HOD) formalism can constrain the number of galaxies per halo vs halo-mass
Adding luminosity information to this, the Conditional Luminosity Function (CLF)
Let's quickly consider the Halo Occupation formalism
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dark matter halo massesdark matter halo masses
Moustakas & Somerville 2002
There can be many galaxies in each dark matter "halo", or none. Theaverage behavior can be parametrizedwith the Halo Occupation Function,or Distribution
N(M>Mmin) = (M/M1)
Mmin - threshold halo mass ** from clustering
M1 - 'typical' mass ** from clustering & density
- mass function slope ** from small-scale clustering!
"bias" comes from the clustering,which fixes the 'minimum' DM halo mass
space density
bia
s
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galaxies' dark matter galaxies' dark matter haloshalos
Here we plot the results for z~0 ellipticals, z~1.2 EROs, and z~3 LBGs (LAM & Somerville '02)
The occupation function parameters can be constrained through the measured clustering strength and the space density
The SLOPE (a 'free' parameter in this plot), can be constrained by very small-scale statistics
M&S02
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clustering evolutionclustering evolution The simplest model hasa
galaxies following the dark matter they're associated with -- 'galaxy conserving model' (Fry 1996)
See the behavior of populations with properties established at different redshifts. Do they 'connect'?
corr
ela
tion
scale
lin
ear
bia
s
The different z~4 galaxies may have different histories & futures...
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ConclusionsConclusions There is evidence for luminosity-
dependent clustering in galaxies, at z~4 as well as locally
Need 'complete' census at all scales => DEPTH >10s of square degrees or more will
be required to characterize this: => LARGE SOLID ANGLE To constrain the SLOPE of the
occupation function, we need very sub-few-arcsec pair/group info.: => HIGH SPATIAL RESOLUTION
A multi-wavelength SNAP/JDEM/LEGASY type mission would clean this up...