Theoretical Physics 4A (Statistical Mechanics and Thermodynamics)
Module PH0008 [ThPh 4A]
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 2018/9 (current)
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
available module versions  

WS 2018/9  WS 2016/7  WS 2015/6  WS 2010/1 
Basic Information
PH0008 is a semester module in German language at Bachelor’s level which is offered in winter semester.
This Module is included in the following catalogues within the study programs in physics.
 Mandatory Modules in Bachelor Programme Physics (5th Semester, All Specializations)
If not stated otherwise for export to a nonphysics program the student workload is given in the following table.
Total workload  Contact hours  Credits (ECTS) 

270 h  120 h  9 CP 
Responsible coordinator of the module PH0008 is Frank Pollmann.
Content, Learning Outcome and Preconditions
Content
1) Statistical foundation of the thermodynamics
Microcanonical ensemble, assumption of equal probability, density operator, partition function and entropy, heat and work, temperature, MaxwellBoltzmann distribution, equipartition theorem, laws of thermodynamics, reversible and irreversible processes, canonical and grand canonical ensembles.
2) Phenomenological thermodynamics
Basic definitions, heat engine and thermodynamic cycle, thermodynamic potentials and stability, Maxwell relations, cooling of gases, Joule–Thomson effect, phases and phase transitions in onecomponent systems, Clausius–Clapeyron relation, osmosis, van der Waals equation, multicomponent systems.
3) Statistical physics of specific Systems in equilibrium
Noninteracting quantum gas: basics, classical limit, gas of molecules, ideal Fermi gas, degenerate Fermi gas, ideal Bose gas, Bose–Einstein condensation, photons, thermodynamics of radiation, phonons, magnetism, Ising model, virial expansion, van der Waals equation.
4) Nonequilibrium thermodynamics
Basic definitions of kinetic theory, Boltzmann equation, Brownian motion, fluctuationdissipation theorem, particles and heat diffusion, Einstein relation.
Learning Outcome
After successful participation in this module students are able
 to explain basic concepts and relations of temperature and heat
 to understand basics of statistical mechanics and their implications on thermodynamics
 to describe ideal gases and ideal quantum gases
 to understand essential properties and different descriptions of interacting gases and fluids as well as to describe their behavior at phase transitions
 to gain insight into the nonequilibrium thermodynamics
Preconditions
PH0005, PH0006, PH0007, MA9201, MA9202, MA9203, MA9204
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
Type  SWS  Title  Lecturer(s)  Dates 

VO  4  Theoretical Physics 4A (Statistical Mechanics and Thermodynamics)  Pollmann, F.  
UE  2  Open Tutorial to Theoretical Physics 4A (Statistical Mechanics and Thermodynamics) 
Bibo, J.
Hauschild, J.
Responsible/Coordination: Pollmann, F. 

UE  2  Exercise to Theoretical Physics 4A (Statistical Mechanics and Thermodynamics) 
Bibo, J.
Hauschild, J.
Responsible/Coordination: Pollmann, F. 
Learning and Teaching Methods
Lecture: presentation
Tutorial: The tutorial is held in small groups. In the tutorial the weekly exercises are presented by the students and the tutor. They also provide room for discussions and additional explanations to the lectures.
The courses of the module are offered during the winter semester only. Students taking the repeat exam after the summer semester may visit the courses to PH0012 Theoretical Physics 4B (Thermodynamics and Elements of Statistical Mechanics) to recapitulate the contents at least in parts.
Media
Blackboard or beamer presentation
concurrent material on webpage/moodle
Literature
 M. Kardar, Statistical Physics of Particles, Cambridge University Press
 F. Reif, Fundamentals of statistical and thermal physics, Mc GrawHill
 T. Fließbach, Statistische Physik, Spektrum, Akad. Verlag
 W. Nolting, Band 6: Statistische Physik
 F. Schwabl, Statistische Mechanik
 Landau, Lifshitz, Pitajewski, Band 5: Statistische Physik, Teil 1
Module Exam
Description of exams and course work
There will be an oral exam of about 40 minutes duration. Therein the achievement of the competencies given in section learning outcome is tested at least to the given cognition level using comprehension questions and sample calculations.
For example an assignment in the exam might be:
 Determination of the chemical potential of a perfect gas in the canonical ensemble
 Presentation of properties of the Ising model
After successful participation in the tutorials a certificate ("Übungsschein") is issued as midterm. Successful participation is active participation in the tutorials and at least 50% of exercise points.
There will be a bonus (one intermediate stepping of "0,3" to the better grade) on passed module exams (4,3 is not upgraded to 4,0) if a certificate ("Übungsschein") is present before the oral exam.
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.
Current exam dates
Currently TUMonline lists the following exam dates. In addition to the general information above please refer to the current information given during the course.
Title  

Time  Location  Info  Registration 
Prüfung zu Theoretische Physik 4A (Statistische Mechanik und Thermodynamik)  
Fr, 26.4.2019  bis 15.1.2019  
Mo, 6.5.2019  bis 15.1.2019 