Europhys. Lett., 62 (6) , pp. 815-821 (2003)
Wetting at curved substrates: Non-analytic behavior of interfacial propertiesR. Evans1, 2, R. Roth2, 3 and P. Bryk2, 4
1 H. H. Wills Physics Laboratory, University of Bristol - Bristol BS8 1TL, UK
2 Max-Planck-Institut für Metallforschung - Heisenbergstr. 3 70569 Stuttgart, Germany
3 ITAP, Universität Stuttgart - Pfaffenwaldring 57, 70569 Stuttgart, Germany
4 Department of Modeling of Physico-Chemical Processes, MCS University Lublin 20-031, Poland
(Received 6 March 2003; accepted 28 April 2003)
We argue that for complete wetting at a curved substrate (wall) the wall-fluid surface tension is non-analytic in , 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 plus higher-order contributions which are non-analytic in . 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.
05.70.Np - Interface and surface thermodynamics.
68.08.Bc - Wetting.
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