Syllabus of Statistical Physics
In this course, we will rst introduce the fundamental postulates and concepts in modern statistical physics and establish a connection of these concepts to the concepts in thermo-dynamics. We will also cover some basic tools in quantum statistical mechanics and phase transitions based on Ginzberg-Landau theory and renormalization group theory.
1. Elementary Probability Theory [1 week]
2. Classical Statistical Mechanics
(a) Postulates of Classical Statistical Mechanics [1 week]
(b) Mircocanonical Ensembles, Canonical Ensembles, and Grand Canonical Ensembles [2 weeks]
(c) Energy, Temperature, and Entropy [1 week]
(d) Derivation of Thermodynamics [1 week]
3. Quantum Statistical Mechanics [3 weeks]
4. Partition Function, Free Energy, and Gibs Distribution [2 weeks]
5. Approximation Methods [2 weeks]
6. Phase Transitions and Renormalization Group Theory [3 weeks]
7. Stochastic Dynamics and Brownian Motion [2 weeks]
Fundamentals of Statistical and Thermal Physics. Edition
(Reif, F., McGraw-Hill, Auckland), 1965.
Statistical Physics. vol. 5 of Berkley Phyiscs Course (Reif, F., McGraw-Hill, New York), 1967.