NON-EQUILIBRIUM PHYSICS WS 20/21
Lectures: Mon 10:00-12:00; Wed 12:00-14:00 (ONLINE) Tutorials: Mon 12:00-14:00 (ONLINE) Instructor: Jun.-Prof. Dr. Soeren Schlichting (sschlichting AT physik.uni-bielefeld.de) Tutor: Ismail Soudi (isma AT physik.uni-bielefeld.de)
This graduate (M.Sc.) level course provides an introduction to non-equilibrium statistical physics, based on the book of N. Pottier on ``Nonequilibrium Statistical Physics`` and the lecture notes of Prof. Dr. Nicolas Borghini available on his webpage ..
Due to the COVID-19 situation, lectures will be recorded and uploaded on a weekly basis. Notes from the lectures will be posted on this website. Weekly discussion sessions and tutorials will be held via ZOOM; the respective link will we provided to registered participants via E-Mail. Questions regarding the lectures and tutorials can also be posted in the EKVV Lernraum Forum and shall be addressed during the weekly discussions (lectures) or answered directly in the Forum (tutorials).
Topics include:- Thermodynamics of irreversible processes - Statistical description of non-eq. systems - Kinetic theory - Weak wave turbulence - Stochastic processes - Linear repsonse theory
Course materials and exercise sheets will become available below over the course of the semester.
Introductory remarks Notes from Introduction
Week 1 -- Thermodynamics of irreversible processes: Equilibrium thermodynamics (reminder), Description of irreversible processes, Local equilibrium, Entropy production in discrete & continuous systems Notes from Lecture 1 and Notes from Lecture 2
Week 5 -- Statistical description of non-equilibrium systems: Quantum systems, Wigner-Weyl formalism, Reduced distributions, BBGKY Hierarchy Notes from Lecture 9 and Notes from Lecture 10 Some additional LaTeX Notes on Wigner-Weyl formalism
Week 6 -- Statistical description of non-equilibrium systems: Vlasov equatiom, Scales in BBGKY Hierarchy Notes from Lecture 11 -- Kinetic theory: Boltzmann equation, Heuristic derivation Notes from Lecture 12
Week 10 -- Kinetic therory: Hydrodynamics from kinetic theory Notes from Lecture 19 -- Wave turbulence: Stationary turbulence, Richardson cascade, Kolmogorov-Zhakarov spectra Notes from Lecture 20 See also textbook V.E. Zakharov, V.S. L'vov and G. Falkovich; Kolmogorov Spectra of Turbulence I: Wave turbulence (Chapters 1,2,3)