# Syllabus - PHYS 334 - Fall 2012

## Syllabus

In bold are the topics that have already been covered.

19 Sep >

**Introduction. Random walks. Measurable spaces**
21 Sep >

**Probability Spaces. Random Variables.**
26 Sep >

**Expectation. Random vectors. Statistical independence. Law of large numbers. Random processes. Random number generators.**
28 Sep >

**Brownian motion. Einstein theory. Fluctuation-dissipation theorem. Langevin theory. Ornstein-Uhlenbeck theory. Brownian dynamics simulations.**
3 Oct >

**Brownian motion in a force field. Potential. Brownian motion as a model system for statistical physics.**
5 Oct >

**Stochastic differential equations and Wiener process. Stochastic integrals.**
10 Oct >

**Diffusion.**
10 Oct > Presentations I A & B (class given by Mite Milalkov)

17 Oct > Presentations I C & D (class given by Mite Milalkov)

31 Oct > Presentations I E, F & G (class given by Mite Milalkov)

31 Oct > Midterm I

2 Nov >

**Microcanonical ensemble. Equipartition of energy. Ideal gas.**
7 Nov >

**Definition of entropy, temperature, pressure and chemical potential.**
9 Nov >

**Entropy as disorder, irreversibility and ignorance. Thermal engines.**
21 Nov >

**Shannon information theory. Canonical and Grand Canonical Ensembles.**
23 Nov >

**Ising model. Phase transitions. Criticality. Liouville theorem. Ergodicity.**
30 Nov >

**Quantum harmonic oscillator. Particle in a box.**
30 Nov > Presentations II (class given by Mite Milalkov)

5 Dec >

**Non-interacting bosons and fermions. Black-body radiation. Bose and Fermi statistics.**
5 Dec > Presentations II (class given by Mite Milalkov)

6 Dec > Presentations II (class given by Mite Milalkov)

7 Dec >

**Bose Einstein Condensate. Fermi gas.**
12 Dec > Midterm II

14 Dec >

**Molecular Dynamics**
19 Dec >

**Correlation functions. Onsager regression hypothesis.**
27 Dec > Presentations III (class given by Mite Milalkov)

28 Dec >

**Microscopic thermodynamics. Fluctuation-dissipation theorems.**
29 Dec > Presentations III (class given by Mite Milalkov)