SM2 · Canonical & grand canonical
A 23-module path through sm2 · canonical & grand canonical, in study order from foundations to the frontier.
Modules
- Canonical Ensemble
- Boltzmann Factor
- Canonical Partition Function
- Derivation of the Canonical Distribution from the Microcanonical Ensemble
- Helmholtz Free Energy from the Partition Function
- Thermodynamic Quantities from the Partition Function
- Energy Fluctuations in the Canonical Ensemble
- Heat Capacity and Fluctuation-Response Relation
- Factorization of the Partition Function
- Grand Canonical Ensemble
- Gibbs Factor and Chemical Potential
- Grand Partition Function
- Grand Potential
- Fugacity and the Activity Expansion
- Particle-Number Fluctuations
- Compressibility and Number-Fluctuation Relation
- Equivalence of Ensembles
- Thermodynamic Limit and Fluctuation Suppression
- Legendre Transform Structure of Statistical Ensembles
- Breakdown of Ensemble Equivalence
- The Two-Level Paramagnet and the Brillouin Function
- The Schottky Anomaly
- Negative Temperature