Non-Equilibrium Statistical Physics

Module PH2229

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

PH2229 is a semester module in English language at Master’s level which is offered in summer semester.

This Module is included in the following catalogues within the study programs in physics.

  • General catalogue of special courses
  • Specific catalogue of special courses for condensed matter physics

If not stated otherwise for export to a non-physics program the student workload is given in the following table.

Total workloadContact hoursCredits (ECTS)
300 h 100 h 10 CP

Responsible coordinator of the module PH2229 is Wilhelm Zwerger.

Content, Learning Outcome and Preconditions


I) Classical Non-Equilibrium Thermodynamics
 1) Second Law, Jarzinsky-Crooks Theorem
 2) Onsager Theory, Minimal Entropy Production
 3) Hydrodynamics, Navier-Stokes Equation
 4) Boltzmann Equation, H-Theorem
 5) Calculation of Transport Coefficients, Chapman-Enskog Method
II) Non-Equilibrium Thermodynamics of Quantum Systems
 1) Linear Response, Fluctuation-Dissipation Theorem
 2) Relaxation Functions, Ergodicity Breaking
 3) Dynamics near Classical and Quantum Phase Transitions
 4) Kibble-Zurek Dynamics
 5) Periodically Driven Systems
 6) Many-Body Localization

Learning Outcome

no info


no info

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VU 6 Non-Equilibrium Statistical Physics Zwerger, W. Mittwoch, 16:00–18:00
Freitag, 14:00–16:00

Learning and Teaching Methods

no info


no info


- R. Balian: From Microphysics to Macrophysics
- D. Forster: Hydrodynamic Fluctuations, Broken Symmetry and Correlation Functions
- S. Sachdev: Quantum Phase Transitions
References to the current literature will be given for chapters II.4-6

Module Exam

Description of exams and course work

In a written exam the learning outcome is tested using comprehension questions and sample problems.

In accordance with §12 (8) APSO the exam can be done as an oral exam. In this case the time duration is 45 minutes.

Exam Repetition

There is a possibility to take the exam at the end of the semester.

Condensed Matter

When atoms interact things can get interesting. Fundamental research on the underlying properties of materials and nanostructures and exploration of the potential they provide for applications.

Nuclei, Particles, Astrophysics

A journey of discovery to understanding our world at the subatomic scale, from the nuclei inside atoms down to the most elementary building blocks of matter. Are you ready for the adventure?


Biological systems, from proteins to living cells and organisms, obey physical principles. Our research groups in biophysics shape one of Germany's largest scientific clusters in this area.