Europhys. Lett.
Volume 69, Number 5, March 2005
Page(s) 832 - 838
Section Interdisciplinary physics and related areas of science and technology
Published online 02 February 2005
Europhys. Lett., 69 (5), pp. 832-838 (2005)
DOI: 10.1209/epl/i2004-10410-4

Curvature expansion of density profiles

P.-M. König1, 2, P. Bryk3, K. Mecke4 and R. Roth1

1  Max-Planck-Institut für Metallforschung - Heisenbergstrasse 3 70569 Stuttgart, Germany
2  Institut für Theoretische und Angewandte Physik, Universität Stuttgart Pfaffenwaldring 57, 70569 Stuttgart, Germany
3  Department for the Modeling of Physico-Chemical Processes Maria Curie-Sklodowska University, 20-031 Lublin, Poland
4  Institut fuer Theoretische Physik, Universität Erlangen-Nürnberg Staudtstrasse 7, 91058 Erlangen, Germany

received 28 October 2004; accepted in final form 23 December 2004
published online 2 February 2005

We present a technique to calculate density profiles of a fluid close to a hard convex wall by arguing that its equilibrium density distribution depends only on the local curvatures of the wall. We perform a systematic expansion of the profile in powers of the curvatures and apply it to a hard-sphere fluid within the framework of density-functional theory (DFT). For large distances from the wall, the curvature expansion can be done analytically. Our approach can be generalized to systems with short-ranged fluid-fluid and wall-fluid interaction potentials, as long as intrinsic length scales remain small.

82.70.Dd - Colloids.
61.20.Gy - Theory and models of liquid structure.
61.20.Ja - Computer simulation of liquid structure.

© EDP Sciences 2005