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|
Curvature expansion of density profiles
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-Skłodowska University, 20-031 Lublin, Poland
4 Institut fuer Theoretische Physik, Universität Erlangen-Nürnberg Staudtstrasse 7, 91058 Erlangen, Germany
Accepted: 23 December 2004
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.
PACS: 82.70.Dd – Colloids / 61.20.Gy – Theory and models of liquid structure / 61.20.Ja – Computer simulation of liquid structure
© EDP Sciences, 2005
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.