Influence of the geometry of a rough substrate on wetting

Abstract
The wall tension of a rough wall is considered within a semi-infinite planar Ising model. Using Monte Carlo simulation techniques, we have studied the influence of the geometry of a rough surface on the wall tension. Different geometries are examined in detail, ranging from elementary deformation of the flat surface, including pores, to more realistic substrates generated randomly with a given roughness. We give evidence that complex geometries lead to wall tensions that are bounded by those associated with two simple well-characterized substrates, protrusion and pits.

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