SM1 · Thermodynamics & microcanonical
A 24-module path through sm1 · thermodynamics & microcanonical, in study order from foundations to the frontier.
Modules
- Zeroth Law of Thermodynamics and Empirical Temperature
- First Law of Thermodynamics and Internal Energy
- Work, Heat, and Inexact Differentials
- Second Law of Thermodynamics and Entropy
- Reversible and Irreversible Processes
- Carnot Cycle and Thermodynamic Temperature
- Third Law of Thermodynamics
- Thermodynamic Potentials and the Fundamental Relation
- Legendre Transforms
- Helmholtz Free Energy, Enthalpy, and Gibbs Free Energy
- Maxwell Relations
- Euler Relation and Gibbs–Duhem Equation
- Temperature, Pressure, and Chemical Potential as Entropy Derivatives
- The Microcanonical Ensemble and the Postulate of Equal a Priori Probabilities
- Boltzmann Entropy and the Density of States
- Phase-Space Volume and the Liouville Measure
- Equilibrium Conditions Between Subsystems
- Thermodynamic Stability and Convexity Conditions
- Response Functions: Heat Capacity, Compressibility, and Expansivity
- Entropy of Mixing and the Gibbs Paradox
- Thermodynamic Limit and Extensivity
- Equivalence of the Surface and Volume Density of States
- Joule-Thomson Expansion
- Adiabatic Demagnetization and Magnetic Cooling