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 | Mean field theory of condensation, Corresponding states, Critical point behavior (from L17 & L18) | (PDF) |
L20 | Dilute Polyatomic Gases, Vibrations of a Solid, Black-body Radiation | (PDF) |
L21 | Quantum Microstates, Quantum Macrostates | (PDF) |
VII. Ideal Quantum Gases |
L22 | Hilbert Space of Identical Particles | (PDF) |
L23 | Canonical Formulation, Grand Canonical Formulation | (PDF) |
L24 | The Degenerate Fermi Gas | (PDF) |
L25 | The Degenerate Bose Gas | (PDF) |
L26 | Superfluid He4 | (PDF) |