Complete Wetting Near an Edge of a Rectangular-Shaped Substrate

0435407 - ÚCHP 2015 RIV GB eng J - Článek v odborném periodiku
Malijevský, Alexandr
Complete Wetting Near an Edge of a Rectangular-Shaped Substrate.
Journal of Physics-Condensed Matter. Roč. 26, č. 31 (2014), s. 315002. ISSN 0953-8984. E-ISSN 1361-648X
Grant CEP: GA ČR GA13-09914S
Institucionální podpora: RVO:67985858
Klíčová slova: wetting * density functional theory * fundamental measure theory
Kód oboru RIV: CF - Fyzikální chemie a teoretická chemie
Impakt faktor: 2.346, rok: 2014

We consider fluid adsorption near a rectangular edge of a solid substrate that interacts with the fluid atoms via long range (dispersion) forces. The curved geometry of the liquid-vapour interface dictates that the local height of the interface above the edge l E must remain finite at any subcritical temperature, even when a macroscopically thick film is formed far from the edge. Using an interfacial Hamiltonian theory and a more microscopic fundamental measure density functional theory (DFT), we study the complete wetting near a single edge and show that l(E)(0) - l(E)(delta mu) similar to delta mu(beta Eco), as the chemical potential departure from the bulk coexistence delta mu = mu(s)(T) - mu tends to zero. The exponent beta(co)(E) depends on the range of the molecular forces and in particular beta(co)(E) = 2/3 for three-dimensional systems with van der Waals forces. We further show that for a substrate model that is characterised by a finite linear dimension L, the height of the interface deviates from the one at the infinite substrate as delta l(E)(L) similar to L-1 in the limit of large L. Both predictions are supported by numerical solutions of the DFT.
Trvalý link: http://hdl.handle.net/11104/0239262