Roughness-Induced Wetting

Details Roughness-Induced Wetting Roughness-Induced Wetting

1998-03-21

arxiv.org/abs/cond-mat/9803261v1

Phys. Rev. E 55, 687 (1997)

Physics

Condensed Matter

Soft Condensed Matter

17 pages, 8 figures

Scientific paper

10.1103/PhysRevE.55.687

We investigate theoretically the possibility of a wetting transition induced by geometric roughness of a solid substrate for the case where the flat substrate does not show a wetting layer. Our approach makes use of a novel closed-form expression which relates the interaction between two sinusoidally modulated interfaces to the interaction between two flat interfaces. Within the harmonic approximation, we find that roughness-induced wetting is indeed possible if the substrate roughness, quantified by the substrate surface area, exceeds a certain threshold. In addition, the molecular interactions between the substrate and the wetting substance have to satisfy several conditions. These results are expressed in terms of a lower bound on the wetting potential for a flat substrate in order for roughness-induced wetting to occur. This lower bound has the following properties: A minimum is present at zero or very small separation between the two interfaces, as characteristic for the non-wetting situation in the flat case. Most importantly, the wetting potential needs to have a pronounced maximum at a separation comparable to the amplitude of the substrate roughness. These findings are in agreement with the experimental observation of roughness-induced surface premelting at a glass-ice interface as well as the calculation of the dispersion interaction for the corresponding glass-water-ice system.

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