| 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) |
