Exact results for a meniscus in a three-phase system within an SOS-type approximation |
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Authors: | Joël De Coninck François Dunlop Frédéric Menu |
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Affiliation: | (1) Faculté des Sciences, Université de Mons-Hainaut, 7000 Mons, Belgium;(2) Centre de Physique Théorique (CNRS-UPR14), École Polytechnique, 91128 Palaiseau, France |
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Abstract: | The shape of a meniscus of one phase between two others is studied in two dimensions using random walk models. An interface with a meniscus is approximated by two random walks forming microscopic droplets of the intruding phase before and after a macroscopic lens. Within this class of models, we establish a Wulff construction and prove the Herring relations between contact angles. We give explicit formulas for the contact angles as functions of temperature, both at low temperatures and near the wetting transition. |
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Keywords: | Contact angle wetting transition Wulff construction Herring relations |
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