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Statistical Mechanics

Graduate-level course

🏠Stat Mech Overview
🎲I. Ensembles
1. Microcanonical Ensemble2. Canonical Ensemble3. Grand Canonical Ensemble4. Quantum Statistics
🌡️II. Quantum Gases
🔀III. Phase Transitions
🚀IV. Advanced Topics

Part 1: Ensembles

Microcanonical Ensemble

Equal a priori probability, entropy S = k ln Omega, temperature, and the ideal gas

Canonical Ensemble

Boltzmann distribution, partition function Z, Helmholtz free energy, and fluctuations

Grand Canonical

Grand partition function, chemical potential, particle number fluctuations, and adsorption

Quantum Statistics

Identical particles, Bose-Einstein and Fermi-Dirac distributions, and density of states

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