Course Code : | 2001WETSMP |

Study domain: | Physics |

Academic year: | 2019-2020 |

Semester: | 2nd semester |

Contact hours: | 60 |

Credits: | 6 |

Study load (hours): | 168 |

Contract restrictions: | No contract restriction |

Language of instruction: | English |

Exam period: | exam in the 2nd semester |

Lecturer(s) | Michiel Wouters |

At the start of this course the student should have acquired the following competences:

specific prerequisites for this course

specific prerequisites for this course

Mastering the contents of "Mathematical methods in theoretical physics"

- Use stochastic differential equations and markov processes to model physical processes
- use mean field theory to describe phase transitions
- develop insight in the Gaussian approximation and the renormalisation group

1 Complex analysis

- analytic continuation

- Hilbert transform

- Hypergeometric functions

2 Stochastic dynamics

- The Markov chain, Brownian motion, diffusion equation

- Equations of Langevin, of Fokker-Planck

3 Dynamics of liquids and gases

- Phase space, Poisson brackets, Liouville's equations of motion

- The BBGKY hierarchy, Boltzmann's equation

4 Linear response theory

- Dynamical susceptibilities, Onsager relations

- The fluctuation-dissipation theorem

The course has an international dimension.

Class contact teachingLectures Practice sessions

ExaminationWritten with oral presentation

Notes are made available.

none

jan.naudts@ua.ac.be