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

R. Evans; R. Roth; P. Bryk

doi:10.1209/epl/i2003-00445-5

All issues

Volume 62 / No 6 (June 2003)

Europhys. Lett., 62 6 (2003) 815-821

Abstract

Issue		Europhys. Lett. Volume 62, Number 6, June 2003


Page(s)		815 - 821
Section		General
DOI		https://doi.org/10.1209/epl/i2003-00445-5
Published online		01 June 2003

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

Abstract

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.

PACS: 05.70.Np – Interface and surface thermodynamics / 68.08.Bc – Wetting

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