Dresden 2014 – scientific programme
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CPP: Fachverband Chemische Physik und Polymerphysik
CPP 10: Wetting, Micro and Nanofluidics
CPP 10.3: Talk
Monday, March 31, 2014, 15:30–15:45, ZEU 114
Relaxation and Intermediate Asymptotics of a Surface Perturbation in a Viscous Film — •Oliver Bäumchen1, Michael Benzaquen2, Thomas Salez2, Joshua D. McGraw3, Matilda Backholm4, Paul Fowler4, Elie Raphaël2, and Kari Dalnoki-Veress4 — 1Max Planck Institute for Dynamics & Self-Organization, 37077 Göttingen, Germany — 2Laboratoire de Physico-Chimie Theorique, UMR CNRS Gulliver 7083, ESPCI, Paris, France — 3Department of Experimental Physics, Saarland University, 66123 Saarbrücken, Germany — 4Department of Physics and Astronomy and the Brockhouse Institute for Materials Research, McMaster University, Hamilton, Canada
The surface of a thin liquid film with non-constant curvature flattens as a result of capillary forces. While this levelling process is driven by local curvature gradients, the global boundary conditions greatly influence the dynamics. Here, we study the evolution of rectangular trenches in a polystyrene nanofilm. We report on full agreement between theory and experiments for the capillary-driven flow and resulting time dependent height profiles, a crossover in the power law dependence of the viscous energy dissipation as a function of time as the trench evolution transitions from two noninteracting to interacting steps, and the convergence of the profiles to a universal self-similar attractor that is given by the Green’s function of the linear operator describing the dimensionless linearized thin film equation.
O. Bäumchen et al., Phys. Rev. E 88, 035001 (2013).