Statistical Mechanics (PHY 303)

Sample lecture schedule

(based on 25 lectures each of duration 75 minutes).
  • Lecture 1: Review of thermodynamics.
  • Lecture 2: Review of basic statistical physics.
  • Lecture 3: Canonical ensemble 1 (partition function, Helmholtz free energy.)
  • Lecture 4: Canonical ensemble 2 ( examples)
  • Lecture 5: Grand canonical ensemble 1 (chemical potential)
  • Lecture 6: Grand canonical ensemble 2 (examples)
  • Lecture 7: Formulation of quantum statistics: density matrix.
  • Lecture 8: Photons, the Planck distribution, and thermal radiation.
  • Lecture 9: Lattice vibrations and Debye theory.
  • Lecture 10: Ideal Bose gas and Bose condensation.
  • Lecture 11: Ideal Fermi system: degenerate electron gas in metals.
  • Lecture 12: Magnetic behavior of an ideal Fermi gas: Pauli paramagnetism and Landau diamagnetism.
  • Lecture 13: Virial expansion; cluster expansion.
  • Lecture 14: First-order phase transitions.
  • Lecture 15: Mean field theory.
  • Lecture 16: Ising model (1d).
  • Lecture 17: Ising model (2d).
  • Lecture 18: Second-order phase transitions.
  • Lecture 19: Critical phenomena, scaling.
  • Lecture 20: Brownian motion: Langevin theory.
  • Lecture 21: Brownian motion: Fokker-Planck theory.
  • Lecture 22: Transport phenomena: conduction (Drude theory), diffusion, thermal transport.
  • Lecture 23: Onsager relation, fluctuation-dissipation theorem.
  • Lecture 24: Far from equilibrium systems; non-ergodicity.
  • Lecture 25: Special topics.

Possible special topics: Density functional theory of dense liquids, Hydrodynamics, Transport equations, surfaces, evaporation and condensation.

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