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Is there an Optimal Substrate Geometry for Wetting ?

Joel De Coninck·Salvador Miracle-Sole·Jean Ruiz
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Abstract

We consider the problem of the Winterbottom's construction and Young's equation in the presence of a rough substate and establish their microscopic validity within a 1+1-dimensional SOS type model. We then present the low temperature expansion of the wall tension leading to the Wenzel's law for the wall tension and its corrections. Finally, for a fix roughness, we compare the influence of different geometries of the substrate on wetting properties. We show that there is an optimal geometry with a given roughness for a certain class of simple substrates. Our results are in agreement and explain recent numerical simulations.

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Joel De Coninck, Salvador Miracle-Sole, Jean Ruiz. 1999-05-14. Is there an Optimal Substrate Geometry for Wetting ?. https://arxiv.org/abs/cond-mat/9905213

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