Nuclear & particle physics

Seminar on the theory of particles and fields

Winter semester 2018/2019

Seminar

Course number in the course overview: 114288

  • Organizers, organization & dates

    Organizers

    Dates & locations

    Seminar Wednesday, 10:00–12:00 KP/TP, seminar room 304
    Registration and preparatory meeting: Wednesday, 10.10.2018, 10:15

    Registration and guidance

    Prof. Dr. J. Heitger

    ITP, Wilhelm-Klemm-Straße 9, 48149 Münster, room 318
    Tel.: +49 251 83-34948, email: heitger(at)uni-muenster.de

    Certificate of performance

    Presentation and regular participation.

    Requirements

    Quantum Theory and Statistical Physics.

  • Contents & literature

    Phase transitions and critical phenomena

    Topic for winter semester 2018/2019
    ising
    Ising model
    © WWU/ITP
    blockspintrafo
    Renormalization group transformation
    © WWU/ITP (K. Kleineberg)

    Critical phenomena are continuous phase transitions and their accompanying phenomena. They are based on a collective interaction of a (infinitely) large number of degrees of freedom and play an important role both in elementary particle theory and in statistical physics. The planned talk topics include the classical theories for the description of phase transitions as well as one of the most studied model systems, the Ising model. A successful tool for understanding critical phenomena is also provided by the renormalization group that is covered too. Its basic idea is to combine strongly correlated degrees of freedom to a common mean value, which then is understood as a new (effective) degree of freedom.

    Topics are primarily given out to master’s students. A limited number of topics can possibly also be worked on by bachelor’s students. Thus, we refer to the seminar on the theory of atoms, nuclei and condensed matter at this point, which is targeted exclusively towards bachelor’s students.

    Literature

    • H.E. Stanley: Introduction to Phase Transitions and Critical Phenomena, Oxford University Press, 1971
    • J.J. Binney, N.J. Dowrick, A.J. Fisher, M.E.J. Newman: The Theory of Critical Phenomena, Clarendon Press, 1992
    • W. Gebhard, U. Krey: Phasenübergänge und kritische Phänomene, Vieweg, 1980
    • W. Nolting: Grundkurs Theoretische Physik, Bände 4 & 6, Springer, 2005 & 2007
    • L.D. Landau, E.M. Lifschitz: Statistische Physik, Akademie-Verlag, 1970
    • H. Römer, T. Filk: Statistische Mechanik, Wiley-VCH, 1994
    • W. Weidlich: Thermodynamik und statistische Mechanik, Akademische Verlagsgesellschaft, 1976
    • K. Huang: Statistical Mechanics, John Wiley and Sons, 1987
    • P. Pfeuty, G. Toulouse: Introduction to the Renormalization Group and to Critical Phenomena, John Wiley and Sons, 1977
    • K.G. Wilson: Die Renormierungsgruppe, Spektrum der Wissenschaft 10/1979
    • M.E.J. Newman, G.T. Barkema: Monte Carlo Methods in Statistical Physics, Oxford University Press, 1999
    • D.P. Landau, K. Binder: A Guide to Monte Carlo Simulations in Statistical Physics, Cambridge University Press, 2000

    The literature is made available to the speakers. Further advice concerning complementary literature is given as part of the talk guidance.

  • Topics & schedule

    Date Topic Speaker
    10.10.2018 Preparatory meeting
    21.11.2018,
    10:00 s.t.!
    Basics from the theory of phase transitions and critical phenomena Rasmus Bankwitz
    van der Waals theory
    21.11.2018 Mean field theory for the ferromagnet Jan Neuendorf
    28.11.2018 Landau theory Mansoureh Fereidoun
    05.12.2018 Ising model I: Basics and solution in one dimension Florian Eckel
    12.12.2018 Ising model II: Peierls' argument and duality Lorenz Köhne
    19.12.2018 Ising model III: Onsager's solution in two dimensions Martin Pieracks
    09.01.2019 Scaling hypothesis Pia Petrak
    Kadanoff's blockspin idea
    and blockspin construction for the two-dimensional Ising model
    16.01.2019 Renormalization group Michael te Vrugt
    Wilson's k-space renormalization group
    23.01.2019 Numerical simulations via the Monte Carlo method Peter Risse
    30.01.2019 Video session