Abstract
On nanometer scales, the dynamics of liquid-vapor interfaces
is expected to behave differently from hydrodynamical predictions,
which are valid in the limit of long wavelengths and time scales.
However, recent experimental studies PRL 98 096104 (2007)
have started to explore the coupling between bulk and surface dynamical modes on small length and time scales. Thus, a more detailed understanding of the relevant processes at those scales is mandatory.
We apply a dynamical density functional theory (DDFT) as a microscopic description of fluid interfaces. In the corresponding dispersion relation a wavevector-dependent surface energy instead of the constant surface tension is obtained by taking additionally into account the local curvature of the fluctuating interface. In particular, the influence of the static height-height fluctuation spectrum of capillary waves can be identified. Since various competing density functionals and dynamical models for the time evolution of fluid interfaces exist, we provide here a comparison between the corresponding results in order to elucidate capillary wave dynamics on different length and time scales.
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