Approach to universal self-similar attractor for the levelling of thin liquid films
| Autor: | Elie Raphaël, Michael Benzaquen, Laetitia Jubin, Paul Fowler, Kari Dalnoki-Veress, Thomas Salez |
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| Rok vydání: | 2014 |
| Předmět: |
Materials science
Levelling Atomic force microscopy Capillary action Mathematical analysis Time evolution Perturbation (astronomy) General Chemistry Condensed Matter Physics Condensed Matter::Soft Condensed Matter chemistry.chemical_compound Classical mechanics chemistry Free surface Attractor Polystyrene |
| Zdroj: | Soft matter. 10(43) |
| ISSN: | 1744-6848 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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