- 99-163 Joel De Coninck, Salvador Miracle-Sole, and Jean Ruiz
- Is there an Optimal Substrate Geometry for Wetting ?
May 11, 99
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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.