Volume 60, Number 1, October 2002
|Page(s)||106 - 112|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 September 2002|
Drumhead model of wetting, filling and wedge covariance
Department of Theoretical Physics, Oxford University 1 Keble Road,
Oxford, OX1 3NP, UK
2 Department of Mathematics, Imperial College 180 Queen's Gate, London, SW7 2BZ, UK
Accepted: 8 July 2002
Recent work has demonstrated novel fluid interfacial behaviour occurring at filling or wedge-wetting transitions in two- and three-dimensional systems. In particular, in two dimensions (2D) studies of filling in shallow wedges, for both pure and impure systems, reveal simple covariance relations which relate criticality at filling to strong-fluctuation regime wetting and restrict the allowed critical singularities. Here we introduce a drumhead interfacial model of filling in acute wedges which can be adapted to include an orientation-dependent surface tension. We calculate the excess wedge free energy and scaling form of the mid-point height probability distribution function (PDF) and demonstrate that the covariance relations are the same as found in the shallow wedge approximation. Connections with exact Ising model results and a bubble model interpretation of the interfacial height PDF at wetting are made.
PACS: 68.08.Bc – Wetting / 68.35.Rh – Phase transitions and critical phenomena
© EDP Sciences, 2002
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.