Advanced Statistical Mechanics 1
Module PH2015
Basic Information
PH2015 is a semester module in English language at Master’s level which is offered in winter semester.
This module description is valid to WS 2014/5.
If not stated otherwise for export to a non-physics program the student workload is given in the following table.
| Total workload | Contact hours | Credits (ECTS) |
|---|---|---|
| 150 h | h | 5 CP |
Responsible coordinator of the module PH2015 is the Dean of Studies at Physics Department.
Content, Learning Outcome and Preconditions
Content
Topics:
- Non-equilibrium thermodynamics (entropy production, stationary non-equilibrium states, Onsager relations)
- Causality and Fluctuations (Kramers-Kronig relations, fluctuation-dissipation theorem)
- Stochastic Processes (Markov processes, Master equation approach, Brownian motion, Langevin equation, Fokker-Planck equation)
- Kinetic models (Boltzmann equation, H-Theorem, Enskog Method)
Learning Outcome
At the end of the module ASM-I students are able to formulate and classify simple non-equilibrium systems in terms of their entropy production and to derive response functions from the Fluctuation-dissipation theorem. They can derive the relation between different formalisms of describing stochastic processes. They have also insight into basic kinetic processes.
Preconditions
Keine Vorkenntnisse nötig, die über die Zulassungsvoraussetzungen zum Masterstudium hinausgehen.
Courses, Learning and Teaching Methods and Literature
Learning and Teaching Methods
lecture, beamer presentation, board work, exercises in individual and group work
Media
practise sheets
Literature
- Non-equilibrium thermodynamics, de Groot and Mazur
- The Fokker-Planck Equation, Risken
- Stochastic processes in physics and chemistry, N. G. van Kampen
Module Exam
Description of exams and course work
In an oral exam the learning outcome is tested using comprehension questions and sample problems.
In accordance with §12 (8) APSO the exam can be done as a written test. In this case the time duration is 60 minutes.
Remarks on associated module exams
The exam for this module can be taken together with the exam to the associated follow-up module PH2016: Advanced Statistical Mechanics 2 / Fortgeschrittene Statistische Mechanik 2 after the follwoing semester. In this case you need to register for both exams in the following semester.
Exam Repetition
The exam may be repeated at the end of the semester. There is a possibility to take the exam in the following semester.