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Statistical Physics
Last Updated: 2026-02-05 15:24:13
Abstract
This lecture covers the concepts of classical and quantum statistical physics, and some aspects of kinetic gas theory. In a more advanced part Bose-Einstein condensation, general mean field theory and critical phenomena will be addressed. Finally also various aspects of linear response theory will be discussed.
Objective
This lecture gives an introduction in the basic concepts and applications of statistical physics for the general use in physics and, in particular, as a preparation for the theoretical solid state physics education.
Content
Basics of phenomenological thermodynamics, three laws of thermodynamics. Basics of kinetic gas theory: conservation laws, H-theorem, Boltzmann-Equations, Maxwell distribution. Classical statistical physics: microcanonical ensembles, canonical ensembles and grandcanonical ensembles, applications to simple systems. Quantum statistical physics: single particle, ideal quantum gases, fermions and bosons. Bose-Einstein condensation: Bogolyubov theory, superfluidity. Mean field and Landau theory: Ising model, Heisenberg model, Landau theory of phase transitions, fluctuations. Critical phenomena: mean field, series expansions, scaling behavior, universality. Renormalization group: fixed points, simple models. Linear response theory: general formulation, response in mean field, sum rules, collective modes, fluctuation dissipation theorem.
Resources
Lecture Notes
Lecture notes will be provided.
Literature
No specific book is used for the course. Relevant literature will be cited in the course.
General Information
- Language
- English
- Levels
- MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 30 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Statistical Physics |
|
4 h weekly |
| exercise | Statistical Physics |
|
1 h weekly |
Offered In
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Application Area (only necessary for the Master degree in Applied Mathematics)
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