Wetting transition for a thin cylinder

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Abstract
A cylinder of radius b immersed in a two fluid binary mixture A/B produces two effects : (1) preferential adsorption of A, described by a surface field h1 ; (2) reduction of A/B interactions near the wall (neglected here). Using the Cahn mean-field theory [1], we find that perfect wetting occurs only for cylinders of radius b > bc(h 1). Then near the critical point, wetting is found at temperatures T > T w(b, h1). At Tw the transition is first order. It becomes second order when b = bc

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