# 402-0861-00L Statistical Physics

Semester | Autumn Semester 2016 |

Lecturers | G. Blatter |

Periodicity | yearly recurring course |

Language of instruction | English |

Abstract | This lecture covers the concepts of classical and quantum statistical physics, and some aspects of kinetic gas theory and hydrodynamics. In a more advanced part degenerate Fermions, Bose-Einstein condensation, real Bose gases, magnetism, general mean field theory and critical phenomena will be addressed. |

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. Hydrodynamics. 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. Degenerate fermions: Fermi gas, electrons in magnetic field. Bosons: Bose-Einstein condensation, Bogoliubov theory, superfluidity. Mean field and Landau theory: Ising-, XY-, Heisenberg models, Landau theory of phase transitions, fluctuations. Critical phenomena: mean field, series expansions, scaling behavior, universality. Renormalization group: fixed points, simple models. |

Lecture notes | Lecture notes available in german. |

Literature | No specific book is used for the course. Relevant literature will be given in the course. |