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Thermal fluctuations of a liquid film on a heterogeneous solid substrate

Abstract : The dynamics of the fluctuations of a liquid film on a heterogeneous substrate is analyzed. We consider the case of a viscous liquid in the Stokes limit, with small variations of substrate height and a small varying slip length. We discuss the possibility of extracting the topographic profile or the slip length profile at the liquid-solid interface from the measurement of the fluctuations of the free liquid surface. Our results, therefore, explore the theoretical basis of a strategy for a fluctuation-induced microscopy of immersed solids at the micrometer scale.
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Olivier Pierre-Louis. Thermal fluctuations of a liquid film on a heterogeneous solid substrate. Physical Review E , American Physical Society (APS), 2016, 94, pp.032802. ⟨10.1103/PhysRevE.94.032802⟩. ⟨hal-02290212⟩

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