# Syllabus - PHYS 334 - Fall 2013

## Syllabus

In bold are the topics that have already been covered.

18 Sep W > No Class

20 Sep F > No Class

25 Sep W >

**Introduction. Molecular Dynamics.**
27 Sep F >

**Random walks. Brownian motion. Einstein theory. Langevin theory. Ornstein-Uhlenbeck theory.**
Simulation of a Brownian particle in an optical trap
2 Oct W >

**Brownian dynamics simulations.** (class given by Agnese Callegari)

4 Oct F >

**Brownian motion in a force field. Potential. Brownian motion as a model system for statistical physics.** (class given by Agnese Callegari)

9 Oct W >

**Measurable spaces. Probability Spaces. Random Variables. Expectation.**
11 Oct F >

**Random vectors. Statistical independence. Law of large numbers. Random processes. Random number generators.**
23 Oct W >

**Microcanonical ensemble. Equipartition of energy. Ideal gas.**
25 Oct F >

**Definition of entropy, temperature, pressure and chemical potential. Entropy as disorder, irreversibility and ignorance.**
30 Oct W >

**Exercises** (class given by Agnese Callegari)

1 Nov F >

**Shannon information theory. Thermal engines.**
6 Nov W >

**Canonical and Grand Canonical Ensembles.**
8 Nov F >

**Exercises** (class given by Agnese Callegari)

13 Nov W > Midterm 1

15 Nov F > Presentations 1: Groups A, B, C

20 Nov W > Presentations 1: Groups D, E, F

22 Nov F >

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

**Quantum harmonic oscillator. Particle in a box. Non-interacting bosons and fermions.**
29 Nov F >

**Black-body radiation. Bose and Fermi statistics.**
4 Dec W >

**Bose Einstein Condensate. Fermi gas.**
6 Dec F > Midterm 2

11 Dec W > Presentations 2: Groups A, B, C

13 Dec F > Presentations 2: Groups D, E, F

18 Dec W >

**Correlation functions. Onsager regression hypothesis. Microscopic thermodynamics. Fluctuation-dissipation theorems.**
20 Dec F >

**Fractals. Cellular automata. Brain graphs.**
25 Dec W > Presentations 3: Groups A, B, C

27 Dec F > Presentations 3: Groups D, E, F