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Outline Part II. Structure Formation: Dark Matter

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1 Outline Part II. Structure Formation: Dark Matter
5. Linear growth of fluctuations by gravitational Instability 6. Statistics of fluctuations: initial fluctuations and the cold-dark-matter scenario 7. Nonlinear growth of structure: spherical collapse, virial equilibrium, Zeldovich approximation and the cosmic web, N-body simulations 8. Hierarchical clustering: Press-Schechter halo distribution, EPS merger trees, galaxy/halo biasing, HOD and correlation function 9. Dark-matter halos: universal profile, the cusp/core problem, dynamical friction, tidal effects, halo shape 10. Substructure of dark-matter halos, phase-space density

2 Outline cont. Part III. Galaxy Formation: Including gas and Stars
11. Angular momentum: tidal-torque theory, halo spin, disk formation, the AM problem 12. Galaxy bimodality: observations, virial shock heating, star formation and quenching mechanisms, downsizing 13. Dwarf galaxies and supernova feedback 14. Formation of elliptical galaxies by mergers: missing dark matter? origin of scaling relations, origin of red sequence and downsizing 15. Galaxy formation at high redshift: cold streams, clumpy disks and compact spheroids 16. Massive black holes in galaxies: AGN feedback 17. Semi-analytic modeling of galaxy formation

3 Linear Growth of Fluctuations by Gravitational Instavility
2dF WMAP

4 2dF Galaxy Redshift Survey ¼ M galaxies 2003
1/4 of the horizon CFA Survey 1980

5 History Early Universe Cosmic Microwave Background Today time

6 Late Cosmological Epochs
recombination last scattering 380 kyr z~1000 dark ages first stars reionization 180 Myr z~20 galaxy formation today 13.7 Gyr z=0

7 Gravitational instability
small-amplitude fluctuations: gravitatinal instability: galaxy cluster void

8

9

10 גידול הפלקטואציות - המארג הקוסמי

11

12 Gravitational Instability: linear, matter-era
Continuity Euler Poisson

13 gravity pressure

14 pressure gravity

15 Properties of the linear growing mode:
The Jeans scale in an expanding universe:

16 Statistics of Fluctuations:
Lecture Statistics of Fluctuations: The Cold Dark Matter Scenario

17 The Initial Fluctuations
At Inflation: Gaussian, adiabatic a realization of an ensemble fluctuation field ensembe average ~ volume average Fourier Power Spectrum rms M δ k Pk

18 Scale-Invariant Spectrum (Harrison-Zel’dovich)
mass M t time M

19 Cosmological Scales mass teq zeq~104 t0 time

20  growth when matter is self-gravitating
CDM Power Spectrum mass t time teq  growth when matter is self-gravitating Meq mass CDM Pk kpeak  m h k CDM HDM HDM free streeming

21 Formation of Large-Scale Structure
Fluctuation growth in the linear regime: rms fluctuation at mass scale M: Typical objects forming at t: example M 1 CDM: bottom-up M 1 free streaming HDM: top-down

22 Micro-Macro Connection
Cold Dark Matter Hot Dark Matter

23 2dF redshift survey 25% of horizon

24 2dF and Mocks

25 Power Spectrum

26 Success of the LCDM Power Spectum


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