Standard syllabus
Statistical mechanics · Undergraduate · Physics
Topics
Ensembles and counting
- Microstates, macrostates, and multiplicity
- Boltzmann, Gibbs, and Shannon entropy links
- Canonical, microcanonical, and grand canonical ensembles
- Partition functions and thermodynamic potentials
- Classical vs quantum statistics
Ideal systems
- Classical ideal gas and equipartition
- Quantum gases: Fermi–Dirac and Bose–Einstein
- Blackbody radiation as photon gas
- Phonon heat capacity (Debye model)
- Two-level systems and paramagnetism
Interacting systems
- Ising model and mean-field theory
- Phase transitions and critical exponents (intro)
- Classical fluids: virial expansion
- Chemical equilibrium from partition functions
- Fluctuation–dissipation preview
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