title: 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.
authors.affiliation: Institut Lumière Matière, UMR5306 Université Lyon 1-CNRS, Université de Lyon, 69622 Villeurbanne, France.
authors.forename: Olivier
authors.initials: O
authors.lastname: Pierre-Louis