I. Thermodynamics |
L1 |
Fundamental Definitions, The Zeroth Law, The First Law (PDF) |
L2 |
The Second Law, Carnot Engines and Thermodynamic Temperature, Entropy (PDF) |
L3 |
Approach to Equilibrium and Thermodynamic Potentials, Useful Mathematical Results (PDF) |
L4 |
Stability Conditions, The Third Law (PDF) |
II. Probability |
L5 |
General Definitions, One Random Variable, Some Important Probability Distributions (PDF) |
L6 |
Many Random Variables, Sums of Random Variables and the Central Limit Theorem, Rules for Large Numbers, Information, Entropy, and Estimation (PDF) |
III. Kinetic Theory of Gases |
L7 |
General Definitions, Liouville's Theorem (PDF) |
L8 |
The Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy, The Boltzmann Equation (PDF) |
L9 |
The H-Theorem and Irreversibility, Equilibrium Properties (PDF) |
L10 |
Conservation Laws (PDF) |
L11 |
Zeroth Order Hydrodynamics, First Order Hydrodynamics (PDF) |
IV. Classical Statistical Mechanics |
L12 |
General Definitions, The Microcanonical Ensemble, Two-Level Systems (PDF) |
L13 |
The Ideal Gas, Mixing Entropy and Gibbs' Paradox, The Canonical Ensemble (PDF) |
L14 |
Examples, The Gibbs Canonical Ensemble, The Grand Canonical Ensemble (PDF) |
V. Interacting Particles |
L15 |
The Cumulant Expansion (PDF) |
L16 |
The Cluster Expansion (PDF) |
L17 |
The Second Virial Coefficient and van der Waals Equation, Breakdown of the van der Waals Equation, Mean Field Theory of Condensation (PDF) |
L18 |
Variational Methods, Corresponding States, Critical Point Behavior (PDF) |
VI. Quantum Statistical Mechanics |
L19 |
Dilute Polyatomic Gases, Vibrations of a Solid, Black-body Radiation (PDF) |
L20 |
Quantum Microstates, Quantum Macrostates (PDF) |
VII. Ideal Quantum Gases |
L21 |
Hilbert Space of Identical Particles (PDF) |
L22 |
Canonical Formulation, Grand Canonical Formulation (PDF) |
L23 |
Non-relativistic Gas, The Degenerate Fermi Gas (PDF) |
L24 |
The Degenerate Bose Gas (PDF) |
L25 |
Superfluid He4 (PDF) |
L26 |
Superfluid He4 (cont.) |