# Syllabus - PHYS 334 - Spring 2012

## Syllabus

In bold are the topics that have already been covered.

7 Feb >

**Introduction.**
7 Feb >

**Random walks. Universality.**
10 Feb >

**Diffusion equation.** (class given by Dr. Hetényi)

14 Feb >

**Brownian motion. White noise. Langevin equation. Simulations with finite difference method.**
17 Feb >

**Langevin equation with constant and harmonic force. Boltzmann potential.**
17 Feb >

**Homeworks 1&2.** (class given by Ms. Renklioğlu)

21 Feb >

**Stochastic differential equations. Wiener process. Itô integrals.**
28 Feb >

**Modeling and different stochastic integrals. Simulations with spurious drift. Reconciliation with thermodynamics.**
28 Feb >

**Microcanonical ensemble. Equipartition of energy.**
2 Mar >

**Ideal gas. Definition of entropy, temperature, pressure and chemical potential.**
6 Mar >

**Entropy as disorder.**
6 Mar >

**Presentations.** (class given by Ms. Renklioğlu)

9 Mar >

**Entropy as irreversibility. Thermal engines.**
9 Mar >

**Entropy as ignorance. Shannon entropy. Communication channels.**
13 Mar >

**Homeworks 3&4** (class given by Ms. Renklioğlu)

13 Mar >

**Presentations.** (class given by Ms. Renklioğlu)

16 Mar >

**First Midterm Exam.**
20 Mar >

**Canonical ensemble.**
20 Mar >

**Grand canonical ensemble.**
23 Mar >

**Ising model.**
23 Mar >

**Homework 5** (class given by Ms. Renklioğlu)

27 Mar >

**Liouville theorem. Ergodicity.**
30 Mar >

**Homeworks 6** (class given by Ms. Renklioğlu)

30 Mar >

**Presentations** (class given by Ms. Renklioğlu)

3 Apr >

**Quantum harmonic oscillator. Particle in a box.**
3 Apr >

**Bose and Fermi statistics.**
6 Apr >

**Non-interacting bosons and fermions.**
6 Apr >

**Homework 7** (class given by Ms. Renklioğlu)

10 Apr >

**Black-body radiation.**
10 Apr >

**Bose Einstein Condensate. Fermi gas.**
13 Apr >

**Quantum key distribution (BB84).**
13 Apr >

**Optical manipulation and statistical physics.**
17 Apr >

**Phase Transitions and Criticality.** (class given by Ms. Renklioğlu)

17 Apr >

**Renormalization Group Transformation.** (class given by Ms. Renklioğlu)

20 Apr >

**Second Midterm Exam.**
24 Apr >

**Correlation functions. Onsager regression hypothesis.**
27 Apr >

**Microscopic thermodynamics. Fluctuation-dissipation theorems.**
4 May >

**Cellular automata. Game of Life.**
8 May >

**Homework 8** (class given by Ms. Renklioğlu)

8 May >

**Presentations.** (class given by Ms. Renklioğlu)

11 May >

**Homework 9** (class given by Ms. Renklioğlu)

11 May >

**Presentations.** (class given by Ms. Renklioğlu)

15 May >

**Fractals.**