Basic principles: phase space, Liouville's theorem, the ergodic hypothesis, mixing, chaos, coarse graining.
Theory of statistical ensembles: density matrix; Liouville's theorem; Partition functions.
Quantum ideal gases, state equations (Fermi, Bose, photons)
Phase transitions: Ising model, Mean field theory, Landau's theory, critical exponents, scaling.
Boltzmann's kinetic theory: the H theorem, Maxwell-Boltzmann distribution.
Langevin equation. Correlation functions and linear response theory. Fluctuation-dissipation theorems, Onsager relations

• Basic principles: phase space, Liouville's theorem, the ergodic hypothesis, mixing, chaos, coarse graining.
• Theory of statistical ensembles: density matrix; Liouville's theorem;  Partition functions.
• Quantum ideal gases, state equations (Fermi, Bose, photons)
• Phase transitions: Ising model, Mean field theory,  Landau's theory, critical exponents, scaling.
• Boltzmann's kinetic theory: the H theorem, Maxwell-Boltzmann distribution.
• Langevin equation. Correlation functions and linear response theory. Fluctuation-dissipation theorems, Onsager relations

R. K. Pathria, Statistical Mechanics
K. Huang, Statistical Mechanics
Landau-Lifshitz, Statistical Physics
R.P. Feynman, Statistical Mechanics
Shang-Keng Ma, Statistical Mechanics
F. Mohling, Statistical Mechanics Methods and Applications
http://arxiv.org/abs/1107.0568