Marcus Kasner
Institut für Theoretische Physik

WS2024
Aktuelle Vorlesung ab 18. Oktober 2024
Einführung in die Hydrodynamik
Die Renormierungsgruppe in der Physik
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 ]