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Spring 2008 – Lecture Notes on Statistical Mechanics


Warning: The files below are incomplete draft versions of the lecture notes; Comments are most welcome

List of Available Files

  00. Course Information

Introductory Topics
  01. Introduction to the Course; Review of Probability and Statistics.
  02. Introduction to Statistical Mechanics and the Distribution Function.
  03. Properties of Distribution Functions; The Microcanonical Distribution.
  04. The Canonical Distribution Function.
  05. Mixed States in Quantum Mechanics.
  06. Quantum Equilibrium Density Matrices.
  07. Review of Thermodynamics. 1: Basic Laws [last modified Apr 25].
  08. Review of Thermodynamics. 2: Thermodynamic Potentials [last modified Apr 25].
  09. Review of Thermodynamics. 3: Useful relations [last modified Apr 25].
  10. Obtaining Thermodynamics from Statistical Mechanics.

Examples of Systems
  11. Classical Ideal Gas of Pointlike Particles.
  12. Quantum Ideal Gas of Pointlike Particles.
  13. The Classical Limit of a Quantum Partition Function [last modified Apr 15].
  14. The Photon Gas.
  15. The Free Boson Gas and Bose-Einstein Condensation.
  16. The Free Fermion Gas and Electrons in Metals.
  17. The Free Quantum Molecular Gas.
  18. The Phonon Gas. 1: General Framework.
  19. The Phonon Gas. 2: Einstein and Debye Models [last modified Apr 26].
  20. Non-Ideal Gases. 1: The Virial Expansion.
  21. Non-Ideal Gases. 2: Classical Approximation and Important Examples.
  22. Non-Ideal Gases. 3: Cluster Method for the Virial Expansion.
  23. Magnetism. 1: Diamagnetism.
  24. Magnetism. 2: Paramagnetism.
  25. Magnetism. 3: Ferromagnetism [ last modified May 16].
  26. The Ising Model.

Phase Transitions
  27. The Monte Carlo Method. 1: General Framework [last modified Apr 22].
  28. The Monte Carlo Method. 2: 2D Ising Model [last modified Apr 22] + Mathematica Notebook.
  29. Phase Equilibrium in Thermodynamics [posted Apr 24].
  30. Phase Transitions in Thermodynamics [ last modified May 16].
  31. The Renormalization Group Approach [ posted May 16].

Non-Equilibrium Statistical Mechanics
  32. Transport Phenomena [ posted May 16].
  33. The Fluctuation-Dissipation Theorem [ posted May 16].

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page by luca bombelli <bombelli at olemiss.edu>, modified 18 may 2008