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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.

Module version of WS 2015/6

There are historic module descriptions of this module. A module description is valid until replaced by a newer one.

Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.

available module versions
SS 2018WS 2015/6

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.

  • Specific catalogue of special courses for condensed matter physics
  • Complementary catalogue of special courses for nuclear, particle, and astrophysics
  • Complementary catalogue of special courses for Biophysics
  • Complementary catalogue of special courses for Applied and Engineering Physics
  • Specialization Modules in Elite-Master Program Theoretical and Mathematical Physics (TMP)

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 in the version of WS 2015/6 was 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

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Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 4 Non-Equilibrium Statistical Physics Zwerger, W. Tue, 10:00–12:00, PH 3343
Thu, 10:00–12:00, PH 3343
UE 2 Exercise to Non-Equilibrium Statistical Physics
Responsible/Coordination: Zwerger, W.
Wed, 16:00–18:00, PH-Cont. C.3203

Learning and Teaching Methods

no info


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- 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

The exam may be repeated at the end of the semester.

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