Course Meeting Times
Lectures: 2 sessions / week, 1.5 hours / session
Course Description
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.
Prerequisites
5.70 Statistical Thermodynamics with Applications to Biological Systems
5.73 Introductory Quantum Mechanics I
18.075 Advanced Calculus for Engineers
Textbooks
The following is a list of recommended textbooks that you may find useful for this course. No required readings will be assigned.
Groot, Sybren Ruurds de, and Peter Mazur. NonEquilibrium Thermodynamics. Dover Publications, 2011. ISBN: 9780486647418.
Van Kampen, N. G. Stochastic Processes in Physics and Chemistry. Elsevier, 2007. ISBN: 9780444529657. [Preview with Google Books]
Boon, JeanPierre, and Sidney Yip. Molecular Hydrodynamics. McGrawHill, 1980. ISBN: 9780070065604.
Reichl, Linda E. A Modern Course in Statistical Physics. WileyInterscience, 1998. ISBN: 9780471595205.
Hansen, JeanPierre, and Ian R. McDonald. Theory of Simple Liquids. Elsevier Academic Press, 2006. ISBN: 9780123705358. [Preview with Google Books]
McQuarrie, Donald A. Statistical Mechanics. University Science Books, 2000. ISBN: 9781891389153.
Assignments
There will be 6 problem sets assigned. They will be graded.
Final Project
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.
Grading
This course will be graded based on the following:
ACTIVITIES  PERCENTAGES 

Class participation  10% 
Four problem sets  50% 
Final project  40% 
Calendar
Please note: each chapter of lecture notes is multiple lectures, and each section is roughly equivalent to one week.
CHAPTER #  TOPICS  SUBTOPICS 

1  Stochastic Processes and Brownian Motion 
1.1 Markov Processes
1.2 Master Equations
1.3 FokkerPlanck Equations
1.4 The Langevin Equation 1.5 Appendix: Applications of Brownian Motion 
2  Nonequilibrium Thermodynamics 
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 NavierStokes Hydrodynamic Equations 3.3 Transport Coefficients 
4  Time Correlation Functions 
4.1 Shorttime Behavior 4.2 Projection Operator Method 4.3 Viscoelastic Model 4.4 Longtime Tails and Modecoupling Theory 