Advanced Statistical Physics
Statistical physics describes interacting systems of many degrees of
freedom. Tools and concepts of statistical physics find application
in condensed matter physics, but also far
beyond the traditional realm of physics, in the modeling of
biological, economic or social systems.
This lecture course covers the basic tools of modern statistical
physics as well as the required mathematical tools.
- stochastic systems: the master equation
- the Boltzmann measure, variational principles and mean-field theory
- Landau-Ginzburg theory and fluctuations
- lattice models: exactly solvable systems; high- and low-temperature expansion
- renormalisation
- disordered systems
Schedule
Lectures: Tuesday 14:00-15:30 and Wednesday 10:00-11:30 in lecture
theater III
Exercises: Monday, time and place to be announced
Exercises: Monday, time and place to be announced
Literature
J. Cardy, Scaling and Renormalization in Statistical Physics,
Cambridge University Press
N.G. van Kampen, Stochastic Processes in Physics and Chemistry, North Holland
M. Kardar, Statistical Physics of Fields, Cambridge University Press
M. Plischke and B. Bergersen, Equilibrium Statistical Physics, World Scientific
N.G. van Kampen, Stochastic Processes in Physics and Chemistry, North Holland
M. Kardar, Statistical Physics of Fields, Cambridge University Press
M. Plischke and B. Bergersen, Equilibrium Statistical Physics, World Scientific
The picture above, created by Linas Vepstas, visualizes the Boltzmann measure for the one-dimensional Ising model of 10 spins. Each pixel represents one configuration, see here for details and licensing.
