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E L
Comma galaxies
The Cosmic Runner (Park et al. 2005; Choi et al. 2010)
Morphology – Luminosity – Local Density relation (Park et al. 2007)
Mr
(~5h-1Mpc)
Mor
ph
olog
y (
)
Early-type fraction vs clustercentric radius / luminosity
-17~-19
-19~-20.5
-20.5~-22.5
clustercentric radius
T H E H O R I Z O N R U N
Kim, Park, Gott & Dubinski (2009)
http://astro.kias.re.kr/Horizon_Run
Here
Now
The Observed Universe on a past light cone surface
Decou
plin
g
Ep
ochD
ark
A
ges
Th
e F
irst
Ob
jects
HI +
+
He
p +
e- +
+
He
Reio
niza
tion
Ep
och
Structure Formation & Evolution
Acceleration (Dark Energy
Dominated)
Deceleration (Matte
r
Dominated)
Infl
ati
on
Simulation of the SDSS Survey Region of the Universe
KASI-YITP Joint-Workshop Feb. 18, 2012
Changbom Park (Korea Institute for Advanced Study)
and Juhan Kim (KIAS), Yun-Young Choi (Kyunghee), Hyunbae Park(Austin), Inh Jee(Austin)
KASI 2012. 2. 18
A progress report
Simulation of the SDSS Survey region
Purposes
To study the past history of environmental effects on the objects in the SDSS survey region. Possible because the evolution of the matter field on small scales is affected by the large-scale structures through the transfer of power from large to small scales.
Method
Given a galaxy catalog in redshift space together with survey mask & SF
Cluster identification and compression
Calculate galaxy mass density field ρr,g
Map ρr,g to the matter density field ρr,m(z=0)
Estimate vpec using the 2nd-order perturbation theory
of the continuity equation, and correct galaxy positions for redshift effects
goto @ if a convergence for correction is not reached, and iterate
Calculate the smooth g (z=0) from ρr,m(z=0) and evolve it backward in time using the 2nd-order perturbation theory
Get the reconstructed initial density field ρr,m(initial)
Gaussianize the field.
@
Add small-scale power to match the CDM P(k)
Forward evolve the initial conditions
Reconstruction Method
Given a galaxy catalog in redshift space together with survey mask & SF
Cluster identification and compression
Calculate galaxy mass density field ρr,g
Map ρr,g to the matter density field ρr,m
Estimate vpec using the 2nd-order perturbation theory
of the continuity equation, and correct galaxy positions for redshift effects
goto @ if a convergence is not reached, and iterate
Calculate the smooth g (z=0) from ρr,m(z=0) and evolve it backward in time using the 2nd-order perturbation theory
Get the reconstructed initial density field ρr,m(initial)
Gaussianize the field.
@
We need the galaxy – halo – matter relation (biasing).
Popular halo bias model δhalo = Σbi δmatteri does not work.
(Even worse for the halo number density field.)
* Subhalos from an N-body simulation (20483m20483p10243v & WMAP3y CDM )
halo
# d
ensi
ty
halo
mas
s de
nsit
y
ln(1+δh)
ln(1
+δ m
)z=0 z=0.5 z=1
Reconstruction Method
Given a galaxy catalog in redshift space together with survey mask & SF
Cluster identification and compression
Calculate galaxy mass density field ρr,g
Map ρr,g to the matter density field ρr,m
Estimate vpec using the 2nd-order perturbation theory
of the continuity equation, and correct galaxy positions for redshift effects
goto @ if a convergence is not reached, and iterate
Calculate the smooth g (z=0) from ρr,m(z=0) and evolve it backward in time using the 2nd-order perturbation theory
Get the reconstructed initial density field ρr,m(initial)
Gaussianize the field.
@
(Jenkins 2010; Gramann 1993)
where ∇2ф(2)=δ(2)=m2v
where ∇2ф(2)=δ(2)=m2v
Estimation of the peculiar velocities (2nd-order Lagrangian perturbation theory)
and ∇g
Reconstruction Method
Given a galaxy catalog in redshift space together with survey mask & SF
Cluster identification and compression
Calculate galaxy mass density field ρr,g
Map ρr,g to the matter density field ρr,m
Estimate vpec using the 2nd-order perturbation theory
of the continuity equation, and correct galaxy positions for redshift effects
goto @ if a convergence is not reached, and iterate
Calculate the smooth g (z=0) from ρr,m(z=0) and evolve it backward in time using the 2nd-order perturbation theory
Get the reconstructed initial density field ρr,m(initial)
Gaussianize the field.
@
λ=5RG
Backward evolution
of the potential g at high z initial
Halos at z=0 estimate matter at z=0 g at high z initial
Genuine initial
-2, -1, +1, +2σ contours
Given a galaxy catalog in redshift space together with survey mask & SF
Cluster identification and compression
Calculate galaxy mass density field ρr,g
Map ρr,g to the matter density field ρr,m
Estimate vpec using the 2nd-order perturbation theory
of the continuity equation, and correct galaxy positions for redshift effects
goto @ if a convergence is not reached, and iterate
Calculate the smooth g (z=0) from ρr,m(z=0) and evolve it backward in time using the 2nd-order perturbation theory
Get the reconstructed initial density field ρr,m(initial)
Gaussianize the field.
@
Add small-scale power to match the CDM P(k)
Forward evolve the initial conditions
Final conditions from the true initial density field
Final conditions from the reconstructed initial density field with random small-scale fluctuations
초기 현재
Final conditions from the true or reconstructed initial conditions
More works to do1. Constrained small-scale field
2. Application to the SDSS with non-periodic boundaries
(Park, Kim & Park 2010)
Effects of non-periodic boundaries
Gravitational shear tensor from full 1024h-
1Mpc cube
from a 512h-
1Mpc subcube
From a 256h-
1Mpc subcube
SDSS DR7: KIAS-VAGC Northern Galactic Cap (Choi, Han & Kim, JKAS, 2010; http://jkas.kas.org)
A SDSS galaxy catalog with 597.1K(10<r<17.6) + 114.3K(17.6<r<17.77) redshifts
SDSS DR7: KIAS-VAGC Northern Galactic Cap (Choi et al. 2010)A SDSS galaxy catalog with 597.1K(10<r<17.6) + 114.3K(17.6<r<17.77) redshifts
(bright galaxies added, extinction & K-corrections, L-evolution corrected)
7698 sq. deg
0°
10°
9h10h
The Sloan Great Wall (Gott et al. 2005)
BESTA volume-limited sample with the largest # of galaxies with Mr < -20.09
(Park, Park & Kim 2011)
Boundary Effects: a case when the analyses remain 60 h-1Mpc away from all boundaries
Eff
ects
of
non
-peri
od
ic
‘SD
SS
’ b
ou
nd
ari
es
Given a galaxy catalog in redshift space together with survey mask & SF
Cluster identification and compression
Calculate galaxy mass density field ρr,g
Map ρr,g to the matter density field ρr,m
Estimate vpec using the 2nd-order perturbation theory
of the continuity equation, and correct galaxy positions for redshift effects
goto @ if a convergence is not reached, and iterate
Calculate the smooth g (z=0) from ρr,m(z=0) and evolve it backward in time using the 2nd-order perturbation theory
Get the reconstructed initial density field ρr,m(initial)
Gaussianize the field.
@
Add small-scale power to match the CDM P(k)
Forward evolve the initial conditions
Large-scale background density 20
200 h-
1Mpc
E/S0 & S/Irr galaxies with Mr<-19
SUMMARY
Reconstructing the initial density field within the SDSS survey region.
Replaying the structure formation in this local volume of the universe.
For this purpose we studied
1. halo-matter density connection
2. effects of non-periodic boundaries
3. 2nd-order perturbation theory of the continuity equation for peculiar velocity correction and initial density reconstruction.
Properties of the objects formed in the simulation can be statistically compared with those of the observed SDSS galaxies.
* Possible to know the past history of evolution of objects located in different environments, and also gives us information on the environmental parameters that cannot be directly obtained observationally.
Better understanding of formation and evolution of galaxies in conjunction with large-scale structures in the universe.
* Understanding cosmology & GF closely coupled. GF depends on environment.
Cosmology at KASI !
Thanks & Best Wishes
Title: Simulation of the SDSS Survey Region of the Universe Speaker: Prof. Changbom Park (Korea Institute for Advanced Study) Date & Time:Place:
Abstract: We plan to reconstruct the large-scale initial density field from the distribution of galaxies observed by the Sloan Digital Sky Survey (SDSS). After adding the small-scale fluctuations to match the power spectrum to that of the standard LCDM model, we make a cosmological N-body simulation of structure formation from the initial conditions. Properties of the objects formed in the simulation can be statistically compared with those of the observed SDSS galaxies. The simulation makes it possible to know the past history of evolution of objects located in different environments, and also gives us information on the environmental parameters that cannot be directly obtained observationally. It is hoped that this comparative study leads us to better understanding of formation and evolution of galaxies in conjunction with large-scale structures in the universe.