Statistical and mathematical physics

Course Code :2001WETSMP
Study domain:Physics
Academic year:2019-2020
Semester:2nd semester
Contact hours:60
Credits:6
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:English
Exam period:exam in the 2nd semester
Lecturer(s)Michiel Wouters

3. Course contents *


1 Complex analysis
- analytic continuation
- Hilbert transform
- Hypergeometric functions
2 Stochastic dynamics
- The Markov chain, Brownian motion, diffusion equation
- Equations of  Langevin, of Fokker-Planck
3 Dynamics of liquids and gases
- Phase space, Poisson brackets, Liouville's equations of motion
- The BBGKY hierarchy, Boltzmann's equation
4 Linear response theory
- Dynamical susceptibilities, Onsager relations
- The fluctuation-dissipation theorem