Department of Physics, University of
Utah
Course Number: Physics 7320 (3)
Course Title: Advanced Statistical
Mechanics
- REPRESENTATIVE TEXTBOOKS
- Statistical Mechanics, Huang
- Superconductivity, Schrieffer
- Theory of Magnetism, Vol. II (Statistical mechanics and thermodynamics), Mattis
- COURSE DESCRIPTION
- Advanced topics, including some or all of: Transfer matrix methods in classical systems,
theory of phase transitions and critical exponents, dynamical critical exponents. Monte Carlo
methods. Quantum phases: superfluidity and superconductivity.Uses of quantum field theory
techniques in solution of diffusion/recombination problems, as in theory of chemical reactions.
- PRE-REQUISITE
- Phys. 7310
- OTHER COMMENTS
- Exact mix of topics determined by expressed interest of enrolled students.
- MANDATORY TOPICS
- Topic 1:
- Ising, Potts, Clock, XY, XYZ and Other Classical Models in Statistical Physics and Their
Solutions in 1,2 and 3 Dimensions (6 weeks)
- Topic 2:
- Quantum Phases (Fermi Liquid, Superconductivity, Superfluidity) (6 weeks)
- Topic 3:
- Critical Cxponents (2 weeks)
- Topic 4:
- Monte-Carlo Methods and Renormalization Group Methods for Critical Properties (6
weeks)
- Topic 5:
- Quantum Transport Theory such as Kubo Formulas (3 weeks)
- Links to exisiting web page for this course:
- Currently does not exist.
-
Prepared by Daniel Mattis (2/20/99)