List of Available Files
00. Course Information
Introductory Topics
01. Introduction
to the Course; Review of Probability and Statistics [updated
20 jan 09].
02. Statistical
Mechanics and the Distribution Function [updated
2 feb 09].
03. Equilibrium
Distribution Functions and the Microcanonical Ensemble [updated
6 feb 09].
04. The
Canonical and Grand Canonical Distribution Functions [updated
6 feb 09].
05. Mixed
States in Quantum Mechanics and Quantum Canonical Distribution
[updated 11 feb 09].
06. Review
of Thermodynamics. 1: Basic Laws
[updated 20 feb 09].
07. Review
of Thermodynamics. 2: Thermodynamic Potentials
[updated 16 feb 09].
08. Review of Thermodynamics. 3: Useful relations
[updated 16 feb 09].
09. Thermodynamics
from Statistical Mechanics; Monatomic Ideal Gas
[updated 8 mar 09].
10. Effect
of Quantum Statistics on the Semiclassical Limit
[updated 25 feb 09].
Examples of Systems
11. The
Free Fermion Gas and Electrons in Metals
[updated 8 mar 09].
12. The
Photon Gas [updated 11 mar 09 – small notation
change].
13. The
Free Quantum Molecular Gas [updated 8 mar 09].
14. The
Phonon Gas [8 mar 09; major changes 11 mar
09].
15. Non-Ideal
Gases. 1: The Virial Expansion and Cluster Method [23
mar 09; updated 25 mar 09].
16. Non-Ideal
Gases. 2: Classical Approximation and Two Important Examples [updated
8 apr 09].
17. Phase
Equilibrium and Phase Transitions in Thermodynamics [30
mar 09].
18. The
Free Boson Gas and Bose-Einstein Condensation [6
apr 09; updated
13 apr 09].
19. Magnetism.
1: Paramagnetism [13 apr 09; updated 15 apr 09].
20. Magnetism.
2: Ferromagnetism [15 apr 09; updated 22 apr
09].
Special Techniques and Application to the Ising Model
21. The
1D Ising Model (and Renormalization Group Approach) [17
apr 09; updated 22 apr 09].
22. The
2D Ising Model (Renormalization Group and Monte Carlo) [22
apr 09; updated 1 may 09].
23. The
Monte Carlo Method [22 apr
09; updated 29 apr 09].
Applications of the Monte Carlo Method
Mathematica 5 notebooks for: Simple
example and 2D
Ising Model
[29 apr 09; updated 1 may 09].
Additional Topics not Covered This Year
Critical Phenomena: Scaling and Universality
Non-Equilibrium Statistical Mechanics: Transport Phenomena.
Non-Equilibrium Statistical Mechanics: The Fluctuation-Dissipation
Theorem.
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