Europhys. Lett.
Volume 62, Number 6, June 2003
Page(s) 815 - 821
Section General
Published online 01 June 2003
DOI: 10.1209/epl/i2003-00445-5
Europhys. Lett., 62 (6) , pp. 815-821 (2003)

Wetting at curved substrates: Non-analytic behavior of interfacial properties

R. 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 $R_{\ab{i}}^{-1}$, 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 $\times
R_{\ab{i}}^{-1}$ plus higher-order contributions which are non-analytic in $R_{\ab{i}}^{-1}$. 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.

05.70.Np - Interface and surface thermodynamics.
68.08.Bc - Wetting.

© EDP Sciences 2003