We study the dynamics of detachment in 2D capillary adhesion by considering a plate that is initially attached to a flat, rigid substrate via the surface tension of a bridging liquid droplet. In particular, we focus on the effect of allowing the plate to tilt freely during its subsequent motion. A linear stability analysis shows that small perturbations from equilibrium decouple into two modes: one in which the plate separates from the substrate, remaining parallel, and another in which it tilts, simultaneously causing the bridging droplet to migrate. If the initial tilt perturbation is of a similar magnitude to (or bigger than) the separation perturbation, then the presence of this second tilting mode can significantly alter the dynamics. Indeed, this tilting mechanism changes the ultimate fate of the plate: depending on the size of the plate and the initial perturbation, the plate may anomalously detach. We discuss this observation in relation to previous experiments on a 3D system that showed a qualitatively similar anomalous detachment.

中文翻译：

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分离毛细血管粘附：倾斜和分离的相对作用

通过考虑最初通过桥接液滴的表面张力将平板附着到平坦的刚性基板上的板，我们研究了二维毛细血管粘附中的分离动力学。特别地，我们集中于允许板在其后续运动期间自由倾斜的效果。线性稳定性分析表明，来自平衡的小扰动可分解为两种模式：一种模式，该模式是板与基板分离，保持平行；另一种模式，其倾斜，同时导致桥接液滴迁移。如果初始倾斜扰动的大小与分离扰动的大小相似（或更大），则此第二倾斜模式的存在会显着改变动力学。确实，这种倾斜机制改变了印版的最终命运：根据板的大小和初始扰动，板可能会异常分离。我们将与先前在3D系统上进行的实验进行讨论，该实验显示出在质量上类似的异常脱离。