Wetting at Curved Substrates: Non-Analytic Behavior of Interfacial Properties

Details Wetting at Curved Substrates: Non-Analytic Behavior of Interfacial Properties Wetting at Curved Substrates: Non-Analytic Behavior of Interfacial Properties

2003-05-06

arxiv.org/abs/cond-mat/0305109v1

Physics

Condensed Matter

Soft Condensed Matter

7 pages, 3 figures; to appear in Europhysics Letters

Scientific paper

10.1209/epl/i2003-00445-5

We argue that for complete wetting at a curved substrate (wall) the wall-fluid surface tension is non-analytic in $R_i^{-1}$, the curvature of the wall and that the density profile of the fluid near the wall acquires a contribution proportional to the gas-liquid surface tension $\times R_i^{-1}$ plus higher-order contributions which are non-analytic in $R_i^{-1}$. These predictions are confirmed by results of density functional calculations for the square-well model of a liquid adsorbed on a hard sphere and on a hard cylinder where complete wetting by gas (drying) occurs. The implications of our results for the solvation of big solvophobic particles are discussed.

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