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Is there an Optimal Substrate Geometry for Wetting ?

1999/05/14 by Joel De Coninck, De Coninck, Joel, Salvador Miracle-Sole +3
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9905213

30 pages, 5 figures, postscript

arxiv created 1999/05/14 · arxiv updated 2009/11/30

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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