Theoretical / proof-based
Statistical mechanics · Undergraduate · Physics
Learning objectives from the Statistical mechanics syllabus, grouped by unit. Click an objective for study materials.
Learning objectives
Click an objective for study materials.
Ensembles and counting
- Microstates, macrostates, and multiplicity — Microstates, macrostates, and multiplicity
- Boltzmann, Gibbs, and Shannon entropy links — Boltzmann, Gibbs, and Shannon entropy links
- Canonical, microcanonical, and grand canonical ensembles — Canonical, microcanonical, and grand canonical ensembles
- Partition functions and thermodynamic potentials — Partition functions and thermodynamic potentials
- Classical vs quantum statistics — Classical vs quantum statistics
Ideal systems
- Classical ideal gas and equipartition — Classical ideal gas and equipartition
- Quantum gases: Fermi–Dirac and Bose–Einstein — Quantum gases: Fermi–Dirac and Bose–Einstein
- Blackbody radiation as photon gas — Blackbody radiation as photon gas
- Phonon heat capacity (Debye model) — Phonon heat capacity (Debye model)
- Two-level systems and paramagnetism — Two-level systems and paramagnetism
Interacting systems
- Ising model and mean-field theory — Ising model and mean-field theory
- Phase transitions and critical exponents (intro) — Phase transitions and critical exponents (intro)
- Classical fluids: virial expansion — Classical fluids: virial expansion
- Chemical equilibrium from partition functions — Chemical equilibrium from partition functions
- Fluctuation–dissipation preview — Fluctuation–dissipation preview
What each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Ensembles and counting
Microstates, macrostates, and multiplicity
Coming soon - Ideal systems
Classical ideal gas and equipartition
Coming soon - Interacting systems
Ising model and mean-field theory
Coming soon
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