Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-05-12
Physics
Condensed Matter
Statistical Mechanics
10 pages, 4 figures
Scientific paper
10.1103/PhysRevLett.97.106102
Complete wetting of geometrically structured substrates by one-component fluids with long-ranged interactions is studied. We consider periodic arrays of rectangular or parabolic grooves and lattices of cylindrical or parabolic pits. We show that the midpoint interfacial heights within grooves and pits are related in the same way as for complete wedge and cone filling. For sufficiently deep cavities with vertical walls and small undersaturation, an effective planar scaling regime emerges. The scaling exponent is -1/3 in all cases studied, and only the amplitudes depend on the geometrical features. We find quantitative agreement with recent experimental data for such systems.
Dietrich Sarah
Tasinkevych Mykola
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