Topics: Mean field theory of condensation, Corresponding states, Critical point behavior (from L17 & L18)

1. Thermodynamics I: The Zeroth & First Laws
2. Thermodynamics II: The Second Law & Carnot Engines
3. Thermodynamics III: Thermodynamic Potentials
4. Thermodynamics IV: Third Law of Thermodynamics
5. Probability I: Randonm Variables and Probability Distributions
6. Probability II: The Central Limit Theorem
7. Kinetic Theory of Gases I: Liouville's Theorem
8. Kinetic Theory of Gases II: The Boltzmann Equation
9. Kinetic Theory of Gases III: H-Theorem and Irreversibility
10. Kinetic Theory of Gases IV: Conservation Laws
11. Kinetic Theory of Gases V: Zeroth & First Orders of Hydrodynamics
12. Classical Statistical Mechanics I: The Microcanonical Ensemble
13. Classical Statistical Mechanics II: Mixing Entropy and Gibbs' Paradox
14. Classical Statistical Mechanics III: The Gibbs & Grand Canonical Ensembles
15. Interacting Particles I: The Cumulant Expansion
16. Interacting Particles II: The Cluster Expansion
17. Interacting Particles III: Van der Waals Equation
18. Interacting Particles IV: Critical Point Behavior
19. Interacting Particles V: Mean field theory of Condensation
20. Quantum Statistical Mechanics I: Vibrations of a Solid
21. Quantum Statistical Mechanics II: Microstates & Macrostates
22. Ideal Quantum Gases I: Hilbert Space of Identical Particles
23. Ideal Quantum Gases II: Grand Canonical Formulation
24. Ideal Quantum Gases III: The Degenerate Fermi Gas
25. Ideal Quantum Gases IV: The Degenerate Bose Gas
26. Ideal Quantum Gases V: Superfluid He4

This is a two-semester course on statistical mechanics. Basic principles examined in this course are: The laws of thermodynamics and the concepts of temperature, work, heat, and entropy, postulates of classical statistical mechanics, microcanonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas, quantum statistical mechanics; Fermi and Bose systems, interacting systems: Cluster expansions, van der Waal's gas, and mean-field theory.

Topics from modern statistical mechanics are explored in the next course in this sequence, 8.334 Statistical Mechanics II. These include: The hydrodynamic limit and classical field theories; phase transitions and broken symmetries: Universality, correlation functions, and scaling theory; the renormalization approach to collective phenomena; dynamic critical behavior; random systems.