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Issue 43, 2014
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Approach to universal self-similar attractor for the levelling of thin liquid films

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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.

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

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Publication details

The article was received on 08 Jul 2014, accepted on 06 Aug 2014 and first published on 06 Aug 2014


Article type: Paper
DOI: 10.1039/C4SM01483A
Author version available: Download Author version (PDF)
Citation: Soft Matter, 2014,10, 8608-8614
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    Approach to universal self-similar attractor for the levelling of thin liquid films

    M. Benzaquen, P. Fowler, L. Jubin, T. Salez, K. Dalnoki-Veress and E. Raphaël, Soft Matter, 2014, 10, 8608
    DOI: 10.1039/C4SM01483A

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