Ensemble theory

• A bridge between the microscopic and the macroscopic
• The microcanonical ensemble
• The monoatomic ideal gas
• Statistics and thermodynamics
• Some remarks and refinements in the definition of entropy
• Some explicit computations for the monoatomic ideal gas
• The foundations of statistical mechanics
• The canonical ensemble
• The canonical and the microcanonical ensemble
• Helmholtz free energy
• The canonical ensemble at work
• The equipartition theorem
• The grand canonical ensemble
• Fluctuations in the grand canonical ensemble
• Grand potential