CMSE 890 (001) - Kinetic theory (Fall 2018)
Description: This course offers an introduction to kinetic theory, focusing on classical non-equilibrium many-body theory, the BBGKY hierarchy, the kinetic equations, moment closures, applications of this theory, and numerical methods used to solve these equations.
Time: CMSE 890 (001) will be offered Tues/Thurs from 2:40-4:00 in 1202 Engineering Building.
Prerequisites: equivalents to: classical mechanics, partial differential equations, statistical mechanics and CMSE 202. This course is open to both undergraduate and graduate students.
Textbook: Kinetic Theory: Classical, Quantum, and Relativistic Descriptions, 3rd Edition, Richard Liboff
Instructor: Michael Murillo (CMSE/ChemE)
Major subjects covered:
- Statistical mechanics review
- Classical non-equilibrium many-body theory
- BBGKY hierarchy
- Kinetic equations (Boltzmann, Lenard-Balescu, Fokker-Planck, BGK, etc.)
- Moment closures (Chapman-Enskog and Grad) and hydrodynamics
- Applications (gas dynamics, social systems, plasmas)
- Numerical methods (Monte Carlo and PDEs)
- Projects (algorithms, quantum mechanics, relativity, applications)