Marcus Kasner
Institut für Theoretische Physik

Aktuelle Vorlesung ab 19. April 2024

The renormalization group in physics

SS2024

Pfadintegrale in der Quantenmechanik
und in der Statistischen Physik
SS2022
WS2018/19
WS2014/15
SS2011
SS2009

Die Quanten-Hall-Effekte
WS2019/20
WS2013/14
SS2007

Exakt lösbare Modelle in der Vielteilchenphysik
WS2020/21
SS2017
WS2012/13
WS2009/10

Theorie der Anderson-Lokalisierung
SS2023
WS2017/18
SS2013
WS2008/09

Fortgeschrittene Themen der
Theorie der Supraleitung und Suprafluidität
WS2022/23
SS2019
SS2014

Theorie der Supraleitung
WS2016/17
WS2011/12
WS2007/08

Starke Magnetfelder in der Festkörperphysik
SS2021
SS2016
WS2010/11

Mathematische Ergänzungen zur Vorlesung
Theoretische Physik I
WS2015/16

Quantentheorie des Magnetismus
SS2012

Musterbildung
SS2008

Physics Department

University of Frankfurt

Vorlesung von Dr.rer.nat.habil.Marcus Kasner im Sommersemester 2008:



Spatial and temporal pattern formation

Lecture: Friday, 8.30-10.00 a.m., in English language
Exercises: no
Location: Room Phys 2.114, Theoretische Physik
Begin: Friday, April, 4th, 2008
Duration: 14 weeks


This series of lectures gives an introduction into the field of pattern formation occurring in non-linear systems outside of thermodynamic equilibrium. One of the prominent examples is the famous Rayleigh-Bénard experiment which exhibits a hexagonal pattern in the weakly non-linear region.



Topics:
  • 1. Introduction: dynamical systems far from equilibrium - pattern formation in physics, chemistry, and material sciences
  • 2. Hydrodynamic systems: description of the Rayleigh-Bénard system,
  • 3. Classification of instabilities and bifurcations in dynamical dissipative systems
  • 4. Amplitude equations: heuristic and systematic derivations
  • 5. Solutions of amplitude equations in the weakly instable region


    References:

    • D.Walgraef, Spatio-temporal pattern formation: with examples from physics, chemistry, and materials science, Springer, 1997.

    • P.Manneville, Dissipative structures and weak turbulence, Academic Press, 1990.

    • M.C.Cross and P.C.Hohenberg, Pattern formation outside of equilibrium, Rev.Mod.Phys. 65, 851 (1993).







 
kasner   [ 23-Aug-08 ]