具有弱凝结作用的薄膜粗化
Coarsening of thin films with weak condensation
AI总结：
本文从润滑模型出发，在弱凝结极限下建立基于最近邻液滴相互作用的降阶动力系统，揭示弱凝结作为奇异摄动如何改变液滴长时间粗化动力学与流体总质量。
摘要：
润滑模型可用于描述疏水基底上弱挥发性粘性流体层的动力学。流体的薄层对扰动不稳定，并破裂成缓慢演化的相互作用的液滴。基于弱凝结极限下最近邻液滴相互作用，从润滑模型推导出一个降阶动力系统。研究了相同液滴周期阵列的动力学以及成对液滴相互作用，这为大型系统的粗化动力学提供了见解。研究表明，弱凝结是一种奇异摄动，从根本上改变了液滴的长时间粗化动力学以及流体总质量，并出现在两个额外的长时间动力学区域中。
英文摘要：
A lubrication model can be used to describe the dynamics of a weakly volatile viscous fluid layer on a hydrophobic substrate. Thin layers of the fluid are unstable to perturbations and break up into slowly evolving interacting droplets. A reduced-order dynamical system is derived from the lubrication model based on the nearest-neighbor droplet interactions in the weak condensation limit. Dynamics for periodic arrays of identical drops and pairwise droplet interactions are investigated which provide insights into the coarsening dynamics for large systems. Weak condensation is shown to be a singular perturbation, fundamentally changing the long-time coarsening dynamics for the droplets and the overall mass of the fluid in two additional regimes of long-time dynamics.
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