journal article·2014Open access

Approach to universal self-similar attractor for the levelling of thin liquid films

Michael Benzaquen, Paul Fowler, Laetitia Jubin, Thomas Salez, Kari Dalnoki-Veress, Elie Raphaël

Soft Matter· Volume 10· Issue 43

Abstract

We compare the capillary levelling of a random surface perturbation on a thin polystyrene film with a theoretical study on the two-dimensional capillary-driven thin film equation. Using atomic force microscopy, we follow the time evolution of samples prepared with different initial perturbations of the free surface. In particular, we show that the surface profiles present long term self-similarity, and furthermore, that they converge to a universal self-similar attractor that only depends on the volume of the perturbation, consistent with the theory. Finally, we look at the convergence time for the different samples and find very good agreement with the analytical predictions.
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Research context

OpenAlex topics: Fluid Dynamics and Thin Films · Theoretical and Computational Physics · Fluid Dynamics and Heat Transfer

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Laboratoire de Physico-Chimie Théorique

UMR CNRS 7083 Gulliver

ESPCI ParisTech

PSL Research University

France

Department of Physics & Astronomy

The Brockhouse Institute for Materials Research

McMaster University

Hamilton, Canada

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