with Glen Granzow, Lander University
Phys. Rev. Lett. 87 (2001) 174502
Parametrically Excited Waves
· Coupled Ginzburg-Landau equations
|
these equations are, e.g., relevant for parametrically forced
waves in electroconvection
and with some restrictions also for surface waves on a vibrated fluid
· Typical phase diagram
Ordered and Disordered Chaos
· Pattern
A brief movie clip (300kB) shows the creation and annihilation of defect pairs (break-up of rolls).
Correlation Functions
Defect Loops in Space-Time
Defect motion
climb Þ
local change in wavelength
glide Þ local rotation of pattern
Statistics of Loops in Space-Time