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Spring 2017 – Lecture Notes on Statistical Mechanics


Note: The icon is a link to a posted pdf file, while indicates a topic for which lecture notes are not posted (yet).

Review of Thermodynamics
pdf  01. Basic Laws. [Updated Jan 30, 2017]
pdf  02. Thermodynamic Potentials. [Updated Jan 26, 2017]
pdf  03. Second-Order Quantities and Useful Relationships. [Updated Feb 5, 2017]
pdf  04. Important Examples of Thermodynamic Systems. [Updated Feb 12, 2017]
pdf  05. Phase Equilibrium and Phase Transitions. [Updated Feb 10, 2017]

Basic Concepts of Statistical Mechanics
pdf  06. Review of Probability and Statistics. [Updated Feb 6, 2017]
pdf  07. Statistical Mechanics and the Distribution Function. [Updated Feb 10, 2017]
pdf  08. Equilibrium Distribution Functions I: The Microcanonical Ensemble. [Updated Feb 19, 2017]
pdf  09. Equilibrium Distribution Functions II: The Canonical Ensemble. [Updated Feb 19, 2017]
pdf  10. Classical Monatomic Ideal Gas. [Updated May 25, 2017]
pdf  11. Magnetism. 1: Paramagnetism (and Other Simple Systems). [Updated Mar 5, 2017]
pdf  12. Equilibrium Distribution Functions III: The Grand Canonical Ensemble. [Updated May 25, 2017]
pdf  13. Mixed Quantum States and the Quantum Canonical Distribution. [Updated Apr 30, 2017]
pdf  14. Quantum Statistics of Identical Particles. [Updated Apr 30, 2017]

Examples of Equilibrium Systems
pdf  15. Quantum Monatomic Ideas Gas and the Classical Limit. [Updated May 24, 2017]
pdf  16. The Free Quantum Molecular Gas. [Updated May 23, 2017]
pdf  17. Bosons 1: The Free Boson Gas and Bose-Einstein Condensation. [Updated May 23, 2017]
pdf  18. Bosons 2: The Photon Gas. [Updated May 16, 2016]
pdf  19. Bosons 3: The Phonon Gas. [Updated Apr 30, 2016]
pdf  20. Fermions. 1: The Free Fermion Gas and Electrons in Metals. [Updated Apr 30, 2016]
pdf grey  21. Fermions. 2: Astrophysical Applications. [not covered yet]
pdf  22. Non-Ideal Gases. 1: General Theory. [Updated Apr 30, 2017]
pdf  23. Non-Ideal Gases. 2: Two Important Examples. [Updated Apr 30, 2017]
  24. Magnetism. 2: Diamagnetism. [not covered yet]
pdf  25. Magnetism. 3: Mean-Field Ferromagnetism. [Updated May 16, 2016]

Phase Transitions and Renormalization, Non-Equilibrium Systems
pdf  26. The 1D Ising Model (Exact and Renormalization Group Approach). [Updated May 25, 2017]
pdf  27. The 2D Ising Model (Renormalization Group Approach). [Updated Apr 27, 2014]
pdf  28. Monte Carlo Simulations 1: Method and Simple Example. [Updated May 1, 2015]
pdf  29. Monte Carlo Simulations 2: 2D Ising Model (+ Mathematica notebook). [Updated Apr 30, 2014]
  30. Critical Phenomena: Scaling and Universality. [not covered yet]
  31. Non-Equilibrium Theory 1: Transport Phenomena.
  32. Non-Equilibrium Theory 2: Fluctuation-Dissipation Theorem.

Additional Files
pdf  Index [Updated May 25, 2017 – but still partly out of date!]
pdf  List of Symbols [Updated May 25, 2017]

Phys 727:   main  |  schedule  |  topics  |  syllabus  |  assignments
page by luca bombelli <bombelli at olemiss.edu>, modified 25 may 2017