402-0861-00L  Statistical Physics

SemesterAutumn Semester 2019
LecturersG. M. Graf
Periodicityyearly recurring course
Language of instructionEnglish



Courses

NumberTitleHoursLecturers
402-0861-00 VStatistical Physics4 hrs
Tue12:45-14:30HPV G 5 »
Wed13:45-15:30HPV G 5 »
29.11.15:45-17:30HPV G 4 »
G. M. Graf
402-0861-00 UStatistical Physics2 hrs
Tue14:45-16:30HIT J 53 »
Wed10:45-12:30HIT F 13 »
10:45-12:30HIT K 51 »
Fri14:45-16:30HIT K 51 »
G. M. Graf

Catalogue data

AbstractThe 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.
ObjectiveThis 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.
ContentThermodynamics, 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 notesLecture notes available in English.
LiteratureNo specific book is used for the course. Relevant literature will be given in the course.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits10 credits
ExaminersG. M. Graf
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 30 minutes
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

No public learning materials available.
Only public learning materials are listed.

Groups

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Restrictions

There are no additional restrictions for the registration.

Offered in

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Doctoral Department of MathematicsGraduate SchoolWInformation
Mathematics MasterSelection: Mathematical Physics, Theoretical PhysicsWInformation
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