Microscopic theory for interface fluctuations in binary liquid mixtures

Details Microscopic theory for interface fluctuations in binary liquid mixtures Microscopic theory for interface fluctuations in binary liquid mixtures

2006-05-16

arxiv.org/abs/cond-mat/0605421v1

Physics

Condensed Matter

Soft Condensed Matter

23 pages, 11 figures

Scientific paper

10.1063/1.2358341

Thermally excited capillary waves at fluid interfaces in binary liquid mixtures exhibit simultaneously both density and composition fluctuations. Based on a density functional theory for inhomogeneous binary liquid mixtures we derive an effective wavelength dependent Hamiltonian for fluid interfaces in these systems beyond the standard capillary-wave model. Explicit expressions are obtained for the surface tension, the bending rigidities, and the coupling constants of compositional capillary waves in terms of the profiles of the two number densities characterizing the mixture. These results lead to predictions for grazing-incidence x-ray scattering experiments at such interfaces.

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