The first term covers the basic principles of statistical mechanics, applications to simple systems that can be solved exactly, and the connections with thermodynamics, including a review of the basic ideas of thermodynamics. These notes are not intended to be a complete account of the class discussion, but attempt to summarize the main points.

- Lecture 1:
*The Fundamental Postulate* - Lecture 2:
*A Simple Probability Example* - Lecture 3:
*Motivation for Fundamental Postulate (Classical)**Studies of Nonlinear Problems*by Fermi, Pasta, Ulam*Everything you always wanted to know about the Toda equation*

- Lecture 4:
*Entropy* - Lecture 5:
*Energy, Heat and the Carnot Cycle* - Lecture 6:
*Canonical Ensemble* - Lecture 7:
*Canonical Ensemble - Simple Examples* - Lecture 8:
*Polymers*

- Review paper by Michel Peyrard on the statistical physics of DNA

- Lecture 9:
*Grand Canonical Ensemble* - Lecture 10:
*Other Ensembles/Thermodynamic Potentials*- Handout on
*Thermodynamic Potentials* *Phases and Phase Diagrams: Gibbs' Legacy Today*, Michael Fisher in*Proceedings of the Gibbs Symposium*, Yale University, (1989), pp. 39–72

- Handout on
- Lecture 11:
*Entropy, Information and Maxwell's Demon* - Lecture 12:
*Quantum Statistical Mechanics* - Lecture 13:
*Ideal Quantum Gases* - Lecture 14:
*Bose Condensation*- Mathematica notebook on Bose functions.

- Lecture 15:
*Statistical Mechanics of Superfluidity* - Lecture 16:
*Photons and Phonons* - Lecture 17:
*Ideal Fermi Gas*- Handout on diamagnetism of an electron gas.

- Lecture 18:
*Gases with Internal Degrees of Freedom* - Lecture 19:
*Molecular Gases*

*All files are in Acrobat (pdf) format*

Last modified: 5 October, 2006

Michael Cross