402-0861-00L Statistical Physics
|Semester||Autumn Semester 2019|
|Lecturers||G. M. Graf|
|Periodicity||yearly recurring course|
|Language of instruction||English|
|402-0861-00 V||Statistical Physics||4 hrs|
|G. M. Graf|
|402-0861-00 U||Statistical Physics||2 hrs|
|G. M. Graf|
|Abstract||The lecture focuses on classical and quantum statistical physics. Various techniques, cumulant expansion, path integrals, and specific systems are discussed: Fermions, photons/phonons, Bosons, magnetism, van der Waals gas. Phase transitions are studied in mean field theory (Weiss, Landau). Including fluctuations leads to critical phenomena, scaling, and the renormalization group.|
|Objective||This lecture gives an introduction into the 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||Thermodynamics, three laws of thermodynamics, thermodynamic potentials, phenomenology of phase transitions.|
Classical statistical physics: micro-canonical-, canonical-, and grandcanonical ensembles, applications to simple systems.
Quantum statistical physics: single particle, ideal quantum gases, fermions and bosons, statistical interaction.
Techniques: variational approach, cumulant expansion, path integral formulation.
Degenerate fermions: Fermi gas, electrons in magnetic field.
Bosons: photons and phonons, Bose-Einstein condensation.
Magnetism: Ising-, XY-, Heisenberg models, Weiss mean-field theory.
Van der Waals gas-liquid transition.
Landau theory of phase transitions, first- and second order, tricritical.
Fluctuations: field theory approach, Gauss theory, self-consistent field, Ginzburg criterion.
Critical phenomena: scaling theory, universality.
Renormalization group: general theory and applications to spin models (real space RG), phi^4 theory (k-space RG), Kosterlitz-Thouless theory.
|Lecture notes||Lecture notes available in English.|
|Literature||No specific book is used for the course. Relevant literature will be given in the course.|
|Performance assessment information (valid until the course unit is held again)|
|Performance assessment as a semester course|
|ECTS credits||10 credits|
|Examiners||G. M. Graf|
|Language of examination||English|
|Repetition||The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.|
|Mode of examination||oral 30 minutes|
|This information can be updated until the beginning of the semester; information on the examination timetable is binding.|
|No public learning materials available.|
|Only public learning materials are listed.|
|No information on groups available.|
|There are no additional restrictions for the registration.|