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KIAS 050525. Cosmic Momentum Field and Matter Fluctuation Study of Matter through Motions of Galaxies. 2005. 5. 25 Changbom Park (Korea Institute for Advanced Study). Cosmic Velocity & Momentum Fields. Peculiar velocity v pec = Total velocity – Hubble expansion velocity (true distance).
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KIAS 050525 Cosmic Momentum Field and Matter FluctuationStudy of Matter through Motions of Galaxies 2005. 5. 25 Changbom Park (Korea Institute for Advanced Study)
Cosmic Velocity & Momentum Fields Peculiar velocity vpec = Total velocity – Hubble expansion velocity (true distance) p = (ρ/ρb)v = (1+δ) v &
Motivations 1. Mass fluctuation field 2. Biasing (mass vs galaxy fields) 3. LSS free of redshift space distortions 4. Gravitational Instability
Overall Plan Galaxy Distance using redshift-independent distance indicators x & vr(x) of galaxies Pρ(k) &Pp(k) Ωm1.2Pρ(k) & Ωm0.6/b ‘Total’ Matter Distribution Cosmological Models
Why should this work? Peculiar velocity vpec = Total velocity – Hubble expansion velocity (true distance)
Distance Indicators * Tully-Fisher Relation : Spirals(Luminosity – Circular Velocity) * Dn-σ Relation :Ellipticals (Diameter – Velocity dispersion) (Distance error of ~ 20%)
Observations 1. Mark III: ~3300 galaxies. TF & Dn-σ indicators A82 + 7S88 + HMCL90-91-92 + W91PP + MAT92 + W91CL + CF92-93-96 2. SFI: 1216 Sbc~Sc galaxies SCI: ~800 galaxies in 24 clusters 3. ENEARf: ~1400, T =<-2. B<14.5, cz < 7000km/s ENEARc: ~500, E & S0 galaxies in 28 clusters EFAR: 736 early types in 85 clusters 4. KLUN+: 6229 galaxies. cz<8000km/s
Momentum Field p = (1+δ) v Momentum PS (prediction) ≈ Observed Momentum PS β estimation
SFI Galaxy Sample Giovanelli et al. (1997) 1289 Spiral Galaxies with I-band Tully-Fisher Distance SFI Main Galaxies + MAT Sample (δ < – 45º region, D ≥ 1.7') 661 Galaxies with D ≥ 1.7'
ENEAR Galaxy Sample 1145 early-type galaxies with Dn-σ distances (mB<=14.5, cz <= 7000 km/s) merging (625 objects; |b|>15º) • 261 Groups/Clusters (734 gals) • 364 Field Galaxies
Measuring Density & Momentum PS Fourier Transform Power Spectrum
Density and Momentum Power Spectra 100 Mock Obs. (ENEAR)
Estimating β=Ω0.6/b ENEAR At linear regime (>~ 80 h-1Mpc) At quasi-linear regime (>~ 40 h-1Mpc)
SFI ENEAR vs SFI ENEAR SFI results
Future Works Era of Mass Fluctuation Exploration ! 1. All sky deep sample 2. Theories applicable to noisy but large samples (2dF, SDSS, etc.) 3. Accurate distance estimator 4. Cluster galaxy survey 5. Well-defined survey