Capillary waves at the transition from propagating to overdamped behavior |
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Authors: | Madsen A Seydel T Sprung M Gutt C Tolan M Grübel G |
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Institution: | European Synchrotron Radiation Facility, BP 220, F-38043 Grenoble, France. amadsen@esrf.fr |
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Abstract: | 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. |
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