We study the rolling and sliding motion of droplets on a corrugated substrate by Molecular Dynamics simulations. Droplets are driven by an external body force (gravity) and we investigate the velocity profile and dissipation mechanisms in the steady state. The cylindrical geometry allows us to consider a large range of droplet sizes. The velocity of small droplets with a large contact angle is dominated by the friction at the substrate and the velocity of the center of mass scales like the square root of the droplet size. For large droplets or small contact angles, however, viscous dissipation of the flow inside the volume of the droplet dictates the center of mass velocity that scales linearly with the size. We derive a simple analytical description predicting the dependence of the center of mass velocity on droplet size and the slip length at the substrate. In the limit of vanishing droplet velocity we quantitatively compare our simulation results to the predictions and good agreement without adjustable parameters is found.
Line tension from dual-geometry sessile droplet measurements: Combining contact-angle size-dependence data for axisymmetric and cylindrical droplets to determine the line tension
On a discussion about the determination of surface characteristics of microemulsion droplets from static and dynamic scattering experiments
讨论了液滴微乳液静态和动态散射实验的解释。我们回顾了我们以前的论文中给出的参数，这些论文质疑目前确定液滴表面活性剂单层的基本现象学特征的方法，例如弯曲和高斯刚度。我们还对T.赫尔韦格湾Farago，M. Gradzielski，D. Langevin和S. Safran（Colloids and Surfaces A 221（2003）257和这些作者的一些其他作品）。他们同意我们的一些反对意见;他们的其余回应被证明是有缺陷的。我们还表明，在许多点上，他们的讨论方式是不适当的和误导。得出的结论是，微乳液液滴的参数值，在他们的实验中提取，是不可靠的，应该重新检查。
