Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2008-06-04
The Journal of Chemical Physics 129, 124716 (2008)
Physics
Condensed Matter
Soft Condensed Matter
25 pages, 21 figures
Scientific paper
10.1063/1.2977999
We study the behavior of fluids, confined by geometrically structured substrates, upon approaching a critical point at T = Tc in their bulk phase diagram. As generic substrate structures periodic arrays of wedges and ridges are considered. Based on general renormalization group arguments we calculate, within mean field approximation, the universal scaling functions for order parameter profiles of a fluid close to a single structured substrate and discuss the decay of its spatial variation into the bulk. We compare the excess adsorption at corrugated substrates with the one at planar walls. The confinement of a critical fluid by two walls generates effective critical Casimir forces between them. We calculate corresponding universal scaling functions for the normal critical Casimir force between a flat and a geometrically structured substrate as well as the lateral critical Casimir force between two identically patterned substrates.
Dietrich Sarah
Harnau Ludger
Tröndle M.
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