The lecture notes were prepared by Tim Kowalczyk and Kara Manke in collaboration with Professor Cao.
Lecture notes files.
| CHAPTER # |
TOPICS |
SUBTOPICS |
| 1 |
Stochastic Processes and Brownian Motion (PDF) |
1.1 Markov Processes
1.1.1 Probability Distributions and Transitions
1.1.2 The Transition Probability Matrix
1.1.3 Detailed Balance
1.2 Master Equations
1.2.1 Motivation and Derivation
1.2.2 Mean First Passage Time
1.3 Fokker-Planck Equations
1.3.1 Motivation and Derivation
1.3.2 Properties of Fokker-Planck Equations
1.4 The Langevin Equation
1.5 Appendix: Applications of Brownian Motion
|
| 2 |
Non-equilibrium Thermodynamics (PDF) |
2.1 Response, Relaxation, and Correlation
2.2 Onsager Regression Theory
2.3 Linear Response Theory and Causality
2.3.1 Response Functions
2.3.2 Absorption Power Spectra
2.3.3 Causality and the Kramers-Kronig Relations
|
| 3 |
Hydrodynamics and Light Scattering (PDF) |
3.1 Light Scattering
3.2 Navier-Stokes Hydrodynamic Equations
3.3 Transport Coefficients
|
| 4 |
Time Correlation Functions (PDF) |
4.1 Short-time Behavior
4.2 Projection Operator Method
4.3 Viscoelastic Model
4.4 Long-time Tails and Mode-coupling Theory
|