|N-body Groups:||Zhaoming Ma|
|Special thanks to Andrey Kravtsov for defining the project methods and goals.||Daisuke Nagai|
|CMB-Boltzmann Groups:||Jennifer Chen|
MW 1:30-2:50 AAC 107
First Meeting: 1/7
The main textbook for this course is Peacock: Cosmological Physics, Cambridge 1999 and is generally available in any good book store.
Other books that will be good reference for various portions of the course are Liddle & Lyth: Cosmological Inflation and Large-Scale Structure and Padmanabhan: Structure Formation in the Universe as well as the harder to find Coles & Luchin: The Origin and Evolution of Cosmic Structures.
I will assume that you have taken Ast 304
or are otherwise comfortable with (or don't care about!) extragalactic
and low-z cosmological observations (distance ladder, age, light element
abundance determinations...). Aside from brief reviews from the relevant
chapters of Peacock, this course will have its focus on structure
formation in cosmology. I also expect that you are comfortable
with programming. Several problem sets
(including the final) will involve coding up some standard
tools in cosmology which should serve you well if you decide to
continue on into research.
There will be weekly problem sets that will taper off toward the end so that you have time to do the final project. Working in teams of no more than 5, you will build from scratch one of two codes: (a) a Boltzmann code for CMB power spectrum predictions; (b) a Particle-Mesh N-body code for simulating Large-Scale Structure. I am not expecting either to be complete research level codes, but your code must produce certain baseline results: (a) For CMB power spectra, solve the tight coupling fluid equations to recombination and perform a one-to-one projection of spatial to angular fluctuations to obtain a rudimentary power spectrum - explore its dependence on a few key cosmological parameters. (b) Test your PM code with a simple sine-wave initial condition and show that it reproduces the Zel'dovich approximation before crossing. For extra credit, make your code more realistic by including in (a) Recombination and/or higher order moments, spherical-bessel projection. (b) Cosmological initial conditions, dark energy. The goal is to write the baseline code in a "modern" way so that it well suited to these upgrades either within or outside the scope of the class.
Problem Set 1 Due Jan 16
Problem Set 2 Due Jan 23
Problem Set 3 Due Jan 30: caveat - beginning of a series of inter dependent coding exercises.
Problem Set 4 Due Feb 6
Problem Set 5 Due Feb 13
Problem Set 6 Due Feb 20; Last required problem set.
Problem Set 7 Mass function and Bias
Boltzmann Helper Problem Sets
Runge Kutta integration Optional
Spline interpolation Optional
Initial conditions Optional
Evolution of a k-mode Optional; but you should consider the 3 code checks themselves as part of the project you will turn in.
Relativistic Boltzmann Eqn.: from my own graduate thesis
Cosmic Microwave Background: an Annual Reviews by myself and S. Dodelson
Guest lecture on PM N-body codes by Andrey Kravtsov: Feb 20
The Isotropic Universe: P-Ch-3 & 5
Matter in the Universe: P-Ch-12
Hot Big-Bang: P-Ch-9
Cosmological density fields: P-Ch-16.1-16.3
Linear Perturbation Theory: P-Ch-15.1-15.6
Inflationary Cosmology: P-Ch-11
Cosmic Microwave Background: P-Ch-18
Non-Linear Regime: P-Ch-15.7-8; 16.4; 17.2
Cosmological Probes: P-Ch-15.3, 16.5-8; 12.2; 17.3-5;
(As much as time allows)