There is no graduate level Statistical Mechanics text that covers the above material
in a clean and pedagogical way.
Landau and Lifshitz, volume 1 and Pathria and Beale are best for Part 1,
Huang for Parts 2-4. Some parts of Part 4 are not in any of these texts.
In any case it is a good idea to work through at least two texts, and for
that I suggest PB and H. Hopefully everyone has worked through a significant fraction
of a book such as KK or LL in an undergraduate statistical mechanics course.
Recommended (PB): R.K. Pathria and P.D. Beale, Statistical Mechanics Third Edition 2011
Recommended (H): K. Huang, Statistical Mechanics, Second Edition 1987
Recommended (LL): Statistical Physics, L.D. Landau and E.M. Lifshitz
Recommended but lower level (KK) : Thermal Physics, C. Kittel and H. Kroemer
Problems and solutions: Statistical Mechanics, R. Kubo
Professor Scott Pratt has a PHY831 www site that is a good resource for PHY831 problems, past subject exams and his lecture notes.
Professor Steven Teitel has a nice set of notes and problems with solutions.
Materials from Fall 2011 Course
Part 1: (LL, PB) Foundations: (10 lectures)
History, Heat, Engines, Kinetic theory and Entropy. Computational methods, molecular dynamics, ensembles, ergodicity. Foundations of Equilibrium Statistical Mechanics. Ensembles, Boltzmann factors, Quantum systems. Computational methods, Monte Carlo and detailed balance. Free energies and thermodynamics. Fun with thermodynamic relations. Fluctuations and response functions. Equilibrium and Non-equilibrium Dynamics.
Complete lecture notes for Part 1
Solutions to quiz and assigned problems for Part 1
Midterm I and solutions
Part 2: (H, PB, LL) Key solvable systems: (10 lectures)
Non-interacting spin systems. Ideal Classical gas. Classical harmonic oscillators. Ideal Fermi gas, electron gas, white dwarf stars. Ideal Bose gas, photons, phonons, bose condensation, The early universe. Electrons and phonons in metals. Solvable Ising systems. Magnetic properties of the electron gas.
Complete lecture notes for Part 2
Solutions to quiz and assigned problems for Part 2
Midterm II and solutions
Part 3: (H, PB) Interacting systems, phase transitions and critical phenomena (9 lectures)
Interacting spin systems, Ising model. Interacting classical gas, cluster expansion, van der Waals gas, virial Expansion. BCS model of superconductivity.
Complete lecture notes for Part 3
Solutions to quiz and assigned problems for Part 3
Midterm III and Solutions
Part 4: (H, PB) Scaling and complex systems (9 lectures)
Landau theory of phase transitions and critical phenomena, scaling. GL theory, RG. Equilibrium and non-equilibrium dynamics
Complete Lectures Notes for Part 4
Solutions to quiz and assigned problems for Part 4
Midterm IV and solutions
Subject Exam and Solutions