Dynamics of a thin liquid film with surface rigidity and spontaneous curvature
Pattern Formation and Solitons
2015-05-27 v1 Soft Condensed Matter
Fluid Dynamics
Abstract
The effect of rigid surfaces on the dynamics of thin liquid films which are amenable to the lubrication approximation is considered. It is shown that the Helfrich energy of the layer gives rise to additional terms in the time-evolution equations of the liquid film. The dynamics is found to depend on the absolute value of the spontaneous curvature, irrespective of its sign. Due to the additional terms, a novel finite wavelength instability of flat rigid interfaces can be observed. Furthermore, the dependence of the shape of a droplet on the bending rigidity as well as on the spontaneous curvature is discussed.
Keywords
Cite
@article{arxiv.1101.2118,
title = {Dynamics of a thin liquid film with surface rigidity and spontaneous curvature},
author = {Michael H. Köpf and Svetlana V. Gurevich and Thomas Wulf and Rudolf Friedrich},
journal= {arXiv preprint arXiv:1101.2118},
year = {2015}
}
Comments
4 pages, 5 figures