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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