SM0 · Foundations
A 24-module path through sm0 · foundations, in study order from foundations to the frontier.
Modules
- Microstates and Macrostates
- Phase Space
- Statistical Ensembles
- Phase Space Density and the Distribution Function
- Liouville's Theorem
- Liouville Equation and the Liouville Operator
- The Ergodic Hypothesis
- Ergodic Theory and Mixing
- Fundamental Postulate of Equal A Priori Probabilities
- Accessible Phase Space and Energy Shells
- Boltzmann Entropy
- Gibbs Entropy
- Equivalence and Distinction of Boltzmann and Gibbs Entropies
- The Second Law from Statistics
- Statistical Origin of Irreversibility
- Counting and Combinatorics of Microstates
- The Multiplicity Function
- Indistinguishability and the Gibbs Paradox
- The Stirling Approximation
- The Thermodynamic Limit
- Extensivity and Additivity of Entropy
- Method of the Most Probable Distribution
- Density of States
- The Maximum Entropy Principle