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
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.
- 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
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).