Capillary waves at the transition from propagating to overdamped behavior.
We measure the dispersion relation of capillary waves on a liquid surface by heterodyne x-ray photon correlation spectroscopy near the transition from propagating to overdamped dynamic behavior. A strong deviation of the propagation frequency from the small-damping result omega(p) proportional, variant k(3/2) is observed long before the actual transition where ( partial differential omega(p)/ partial differential k)<0 and omega(p) tends to zero. This behavior is successfully described by expressions derived within linear response theory.
Madsen
A
A
European Synchrotron Radiation Facility, BP 220, F-38043 Grenoble, France. amadsen@esrf.fr
Seydel
T
T
Sprung
M
M
Gutt
C
C
Tolan
M
M
Grübel
G
G