Classical scaling functions for moments of the order parameter profile in critical adsorption of a binary liquid mixture

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Abstract
Because knowledge of the moments of the order parameter profile is required to understand reflected light studies of critical adsorption of a liquid mixture, the scaling functions in classical Landau theory for the two lowest order moments have been calculated. A contact substrate-liquid interaction of strength h1 is presumed. The first moment is found to saturate at large scaled h1. Finally, the connection with a recent experiment is discussed.