# 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 2016/7

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 non-physics 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 in the version of WS 2016/7 was Andreas Weiler.

### 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, Maxwell-Boltzmann 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 one-component systems, Clausius–Clapeyron relation, osmosis, van der Waals equation, multicomponent systems.

3) Statistical physics of specific Systems in equilibrium

Non-interacting 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) Non-equilibrium thermodynamics

Basic definitions of kinetic theory, Boltzmann equation, Brownian motion, fluctuation-dissipation 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 non-equilibrium 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. |
Tue, 10:00–12:00, PH HS2 Wed, 08:30–10:00, PH HS2 |

UE | 2 | Open Tutorial to Theoretical Physics 4A (Statistical Mechanics and Thermodynamics) |
Bibo, J.
Drescher, M.
Responsible/Coordination: Pollmann, F. |
Thu, 12:00–14:00, ZEI 0001 and singular or moved dates |

UE | 2 | Exercise to Theoretical Physics 4A (Statistical Mechanics and Thermodynamics) |
Bibo, J.
Drescher, M.
Responsible/Coordination: Pollmann, F. |
dates in groups |

#### 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 Graw-Hill
- 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 mid-term. Successful participation is active participation in the tutorials and presentation of at least two solutions in a tutorial.

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 |

Exam to Theoretical Physics 4A (Statistical Mechanics and Thermodynamics) | |||

Mon, 2019-07-15 | Dummy-Termin. Die individuellen Termine werden nach Abschluss der Anmeldung durch das Dekanat festgelegt und werden ca. 2. Juli-Hälfte / Ende Juli stattfinden. Voraussichtliche Prüfer: A. Ibarra, M. Knap, A. Vairo, A. Weiler, W. Zwerger Weitere Infos zur Theo.Phys. 4A: http://www.ph.tum.de/academics/faq/bsc/th4/ | till 2019-06-17 |