Non-equilibrium Statistical Physics

Lecturer: Prof. Dr. Ralf Metzler

Statistical mechanics, both classical and quantum, is a highly successful framework to describe physical systems at thermodynamic equilibrium. Most natural phenomena, however, are truly non-equilibrium systems. For their description, more advanced techniques are needed. This course provides an overview of nonequilibrium statistical physics. It covers fluctuating forces and the Langevin equation,  fluctuation and response relations, disordered systems and non-Gaussianity, long-range correlations and memory, as well as pattern formation.  Applications include biological systems, movement ecology, and soft matter systems.

Script: Lecture notes 1, Lecture notes 2, Lecture notes 3, Lecture notes 4, Lecture notes 5, Lecture notes 6, Lecture notes 7, Lecture notes 8, Lecture on Lévy generalised central limit theorem, Scher & Montroll paper to prepare to 2018-06-07
Slides on the history of diffusion
Assignments(Spring 2025): Sheet 1, Sheet 2, Sheet 3, Sheet 4
Assignments(Spring 2018): Sheet 1, Sheet 2, Sheet 3, Sheet 4, Sheet 5, Sheet 6, Sheet 7, Sheet 8, Sheet 9, Paper to read

Non‑equilibrium Statistical Mechanics I & II
Lecturer: Prof. Dr. Aleksei Chechkin

Quantum Statistical Physics
Lecturer: Prof. Dr. Aleksei Chechkin
Key words: density matrix, second quantisation, Fermi and Bose statistics, Green functions, quantum kinetic equations, quantum transport.
Prerequisites: Statistical Mechanics, Quantum Mechanics.
Manuscript(Spring 2024): Teil 1-2, Teil 3, Teil 4, Teil 5, Teil 6, Teil 7