Fluctuation forces between colloids at interfaces

Martin Oettel

Johannes-Gutenberg-Universität Mainz, Institut für Physik, Mainz, Germany

Capillary wave excitations on a flat fluid interface are a simple example for a fluctuating Gaussian field in two dimensions. Capillary wave correlations decay logarithmically, i.e. are very long-ranged, consequently one expects long-ranged fluctuation-induced forces between colloidal objects that are trapped at a fluid interface. Depending on the boundary conditions of the interface height fluctuations on the surface of colloids, quite different long-range behavior of the fluctuation force appears. It ranges from 1/(d ln d) (for a pinned contact line and fixed colloid) to 1/d9 (free contact line and unconstrained colloid), where d is the distance between two colloids. In contrast, the short-range behavior appears to be universal and strongly attractive [1]. Evidence for such a fluctuation interaction can be found in simulation results for the potential of mean force between nanoparticles at a liquid-vapor interface [2].

[1] H. Lehle, M. Oettel, S. Dietrich, EPL 75, 174 (2006).
[2] H. Lehle, M. Oettel, F. Bresme, JCP 130, 214711 (2009).

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