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

InstructorMichael Murillo (CMSE/ChemE)

Major subjects covered:

  1. Statistical mechanics review
  2. Classical non-equilibrium many-body theory
  3. BBGKY hierarchy
  4. Kinetic equations (Boltzmann, Lenard-Balescu, Fokker-Planck, BGK, etc.)
  5. Moment closures (Chapman-Enskog and Grad) and hydrodynamics
  6. Applications (gas dynamics, social systems, plasmas)
  7. Numerical methods (Monte Carlo and PDEs)
  8. Projects (algorithms, quantum mechanics, relativity, applications)