Rigorous Generalization of Young's Law for Heterogeneous and Rough Substrates |
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Authors: | J De Coninck S Miracle-Solé J Ruiz |
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Institution: | (1) Centre de Recherche en Modélisation Moléculaire, Université de Mons–Hainaut, 20 place du Parc, B-7000 Mons, Belgium;(2) Present address: Institut des Hautes Etudes Scientifiques, F-91440 Bures-sur-Yvette, France;(3) Present address: Centre de Physique Théorique, CNRS, Luminy case 907, F-13288 Marseille Cedex 9, France |
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Abstract: | We consider a SOS type model of interfaces on a substrate which is both heterogeneous and rough. We first show that, for appropriate values of the parameters, the differential wall tension that governs wetting on such a substrate satisfies a generalized law which combines both Cassie and Wenzel laws. Then in the case of an homogeneous substrate, we show that this differential wall tension satisfies either the Wenzel's law or the Cassie's law, according to the values of the parameters. |
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Keywords: | SOS models Wenzel's law Cassie's law wetting roughness interfaces |
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