COSMIC STRUCTURE FORMATION

Lecture Notes & Exam Material:

The course is based upon the lecture notes. Below you find a listing of the notes.

The notes you can download in 3 forms:
* ppt file, a colour pdf (handout, 2 slices/page) and a greyscale pdf (handout, 2 slices/page)
* pdf file texed notes
* xerox copy, distributed during the course

Below you find a listing of the notes, and I will notify you when they become available. Subsequently, they will be available for downloading.
Please check the notes you have. When you are missing one or more items contact me.

      FRW cosmology           ppt
         FRW Cosmology          pdf

         study thoroughly: basic to understanding of the course

      Overview: Large Scale Structure of the Universe           pptx
         Overview: Large Scale Structure of the Universe          pdf

         study thoroughly, overview of course material

        Gravitational Instability: outline & overview                     pdf; hand-written notes

         read thoroughly

      Gravitational Instability & Linear perturbation Theory          pdf

         Key chapter !!!!!! You must be able to follow all equations (and work with them).
          Know by heart: comoving vs. physical perturbation quantities (eqn. 2,3,10,15,16,18), full and linear fluid equations (particularly: eqns. sect. 6.1), linear perturbation eqn.(eqn. 4), general solution (eqn. 43), solution for EdS universe (eqn. 48), solution empty Universe (eqn. 54), structure freeze-out time open Universe (eqn. 61, 62), general growth factor (eqn. 87, 88), relation matter and radiation density fluctuation adiabatic regime (eqn. 106), gravitational potential fluctuation (eqn. 111), potential growth factor (eqn. 115), peculiar gravity (eqn. 120), peculiar gravity growth factor (eqn. 121), peculiar velocity (eqn. 142), definition Peebles factor (eqn. 143, 144), peculiar velocity growth factor (eqn. 148), peculiar velocity (eqn. 153, 158), definition bias (eqn. 157), beta factor (eqn. 159)
         Skip: section 7.3.5, 7.3.6

      Cosmic Flows           pptx
         Cosmic Flows          pdf

          Read thoroughly.

      Random Fields & Power Spectrum           pptx
         Random Fields & Power Spectrum          pdf
         Gaussian Random Fields                        hand-written notes

         "Starting Conditions" cosmic structure formation

         Important for exam !!!! Know by heart Fourier definitions, definition power spectrum, relation power spectrum and correlation function, definition Gaussian distribution (in real space and Fourier space), velocity and potential power spectrum. Important to be able to explain the influence of power spectrum on development structure. Different contributions to power spectrum (primordial power spectrum: Harrison-Zeldovich spectrum; transfer functions), normalization power spectrum, be able to explain features (slopes, maximum) in CDM power spectrum).

      Modes Primordial Fluctuations                                         pdf, hand-written notes
           Jeans Instability, Jeans Mass, Silk damping & Cosmic Mass Scales       pdf, hand-written notes

         Fluctuation modes (adiabatic, isocurvature, isothermal)
         Jeans Instability, Jeans Mass, Silk Damping, Silk Mass, Meszaros effect

         Important for exam !!!! Know by heart: fluid eqns. of motion including pressure, definition Jean instability, Jeans mass, sound velocity in pre- and post-recombination era, perturbation evolution during radiation- and mass-domination in pre-recombination era (both sub- and super Jeans mass scale), development horizon, Jeans and Silk damping mass as function of time.

      Going nonlinear                      pdf

         Exam material:
         Zel'dovich approximation
         Not exam material: Lagrangian Perturbation Theory (sect. 3: but good to read), Spherical Model, Ellipsoidal Model;
         also skip sect. 4.2, 4.3
         Know by heart: Zel'dovich, eqn. 31, 36, 49, 50, 52, 54, 63, 64, 71.

      Structure Formation and Evolution: Zeldovich & Adhesion formalism           pptx
         Structure Formation and Evolution: Zeldovich & Adhesion formalism          pdf

         Exam material: study thoroughly
         Zel'dovich approximation

      Structure Formation and Evolution: Nbody simulations           pptx
         Structure Formation and Evolution: Nbody simulations          pdf

          Read thoroughly.

      Large Scale Structure Galaxy Surveys           pptx
         Large Scale Structure Galaxy Surveys          pdf

         read thoroughly: while not necessary to know all details, you may be asked to reproduce general facts on e.g. SDSS survey. Necessary to know in detail: listing of "cosmic fossils" (and what they mean), galaxy luminosity function, Schechter function, SURVEY DEPTH, survey strategies, photometric redshifts, magnitude- and volume-limited surveys, REDSHIFT SPACE DISTORTIONS ...

      Statistical Measures of Large Scale Structure      pptx
         Statistical Measures of Large Scale Structure            handout, pdf, colour

         Exam: study thoroughly and in detail. Necessary to know the definition of two-point correlation function, n-point correlation functions, ergodic theorem, ways to measure the correlation functions, influence boundary and selection effects, power-law 2pt correlation function (parameters and values)

      Structure, Formation and Evolution, Nbody simulations      pptx
         Structure, Formation and Evolution, Nbody simulations            handout, pdf, colour

         Exam: not to be studied, for information (due to late date of lecture, 2 days in advance of exam)

Large Scale Structure movies

It is highly instructive to study the following movies:

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Tentamen

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Werkcollege (tutorials)

The files with the werkcollege assignments will be attached.

You are expected to solve the assignments yourself that were not completed during the werkcollege/tutorial class, within 1 week after the tutorial class. Please turn them in to your tutor (ie. Saikat) !

      Werkcollege 1:      FRW cosmology           

      Werkcollege 2:      Cosmological Fluid equations, physical & comoving           

      Werkcollege 3:      Perturbation equations: coupled & Lagrangian           

      Werkcollege 4:      Spherical Model           

      Werkcollege 5:      Computer assignment 1: generating Gaussian random fields           

      Werkcollege 6:      Zeldovich & Adhesion formalism           

      Werkcollege 7:      Point Processes & Correlation Functions (computer assignment)          

      Werkcollege 8:      Surveys          

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Lecture Schedule:
(provisional, changes possible)

Week	Dates Hoorcollege	Subject Hoorcollege	Dates Werkcollege	Subject Werkcollege
1	September 4 (c) September 7 (c)	Introduction: Cosmic Inventory: Large Scale Structure & Cosmic Structure Formation Galaxies, Groups, Clusters, Superclusters, IGM Cosmic Structure Formation Primordial Fluctuations & the Cosmic Microwave Background Basic Cosmology: Einstein Field Equation, Cosmological Principle, Robertson-Walker metric, Redshift, Cosmic Distances Friedman Equations Cosmic Epochs	September 7 (w)	FRW Cosmology FRW universe solutions Observational Cosmology
2	September 11 (c) September 14 (c)	Gravitational Instability: (Linear) Perturbation Theory, Structure Growth Cosmic Components & Influence on Cosmic Structure Formation:    Radiation,    Matter: Baryonic Matter & Dark Matter    Dark Energy Cosmic Flows	September 14 (w)	Perturbation Theory Growth Factors
3	September 18 (c) September 22 (c)	Random Density & Velocity Fields Multidimensional Gaussian distributions Filtering Power Spectrum Random Fields & Power Spectrum Random Fields & Power Spectrum, pdf Random Fields & Power Spectrum, written, pdf Nonlinear Clustering & Structure Formation Hierarchical Clustering, Anisotropic Collapse and the Formation of Voids Spherical Model, Ellipsoidal Model	September 22 (w)	Perturbation Theory Growth Factors
4	September 25 (c) September 28 (c)	Lagrangian Perturbation Theory Zel'dovich formalism Adhesion approximation Phase Space Dynamics Phase Space Sheet Matter Scales Jeans Mass, Silk damping Cosmic Scenarios: Power spectra Cold Dark Matter, Hot Dark Matter non-Gaussian perturbations	September 28(w)	Spherical Collapse & Model
5	October 2 (c) October 5 (c)	Mapping the Universe Galaxy sky surveys Galaxy redshift Surveys Lensing Surveys The Cosmic Web Observed Cosmic Web: Filaments, Sheets and Voids Clusters of Galaxies	October 5 (w)	Power Spectrum & Spherical Model
6	October 9 (c) October 12 (c)	Analysis of the Large Scale Structure Correlation functions Counts in Cells Power spectrum Higher-order statistics Topology: Genus, Minkowski functionals, Betti numbers Cosmic Web Analysis Tessellation Analysis, DTFE, Phase Space Sheet Multiscale Morphology Filter Watershed (Void Finder) Morse Theory, Skeleton \& Cosmic Spine	October 12 (w)	Two-point correlation function (computer task)
7	October 16 (c) October 19 (c)	Hierarchical clustering: Press-Schechter and Excursion set formalism Peak-patch formalism Cosmic Tidal Fields & Cosmic Web Theory Virialization Cooling and Galaxy Formation Halo Model Biasing Nonlinear Structure Formation: N-body models N-body simulation techniques Cosmological Hydro simulation techniques Cosmological Computer Simulations: Cluster Simulations Large Scale Structure simulations	October 19 (w)	Press-Schechter Formalism & Halo Mass Functions
8	October 23 (c) October 26 (c)	Intergalactic Medium: Lya forest & WHIM Gravitational Lensing, Cosmic Shear Dark Ages, First Stars & Reionization Cosmic Microwave Background Anisotropies CMB anisotropies, temperature perturbations CMB anisotropies, experiments & satellites CMB anisotropies, analysis & maps CMB anisotropies, secondary perturbations CMB anisotropies, polarization	October 26 (w)	N-body Simulations (computer task)

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