Course Meeting Times
Lectures: 2 sessions / week, 1.5 hours / session
In this course we will discuss principles and methods of statistical mechanics. Topics will include: classical and quantum statistics, grand ensembles, fluctuations, molecular distribution functions, and other topics in equilibrium statistical mechanics. Topics in thermodynamics and statistical mechanics of irreversible processes will also be covered.
The following is a list of recommended textbooks that you may find useful for this course. No required readings will be assigned.
Van Kampen, N. G. Stochastic Processes in Physics and Chemistry. Elsevier, 2007. ISBN: 9780444529657. [Preview with Google Books]
Hansen, Jean-Pierre, and Ian R. McDonald. Theory of Simple Liquids. Elsevier Academic Press, 2006. ISBN: 9780123705358. [Preview with Google Books]
There will be 6 problem sets assigned. They will be graded.
You will have to complete a final project at the end of the term. You will be given a set of problems to work on outside of class.
This course will be graded based on the following:
|Four problem sets||50%|
Please note: each chapter of lecture notes is multiple lectures, and each section is roughly equivalent to one week.
|1||Stochastic Processes and Brownian Motion||
1.1 Markov Processes
1.2 Master Equations
1.3 Fokker-Planck Equations
1.4 The Langevin Equation
1.5 Appendix: Applications of Brownian Motion
2.1 Response, Relaxation, and Correlation
2.2 Onsager Regression Theory
2.3 Response Response Theory and Causality
|3||Hydrodynamics and Light Scattering||
3.1 Light Scattering
3.2 Navier-Stokes Hydrodynamic Equations
3.3 Transport Coefficients
|4||Time Correlation Functions||
4.1 Short-time Behavior
4.2 Projection Operator Method
4.3 Viscoelastic Model
4.4 Long-time Tails and Mode-coupling Theory