薄膜中的动力学效应与相分离
Dynamical Effects and Phase Separation in Thin Films
摘要：
在润滑近似下，我们用Navier-Stokes-Cahn-Hilliard方程研究了薄膜中的相分离，用范德华势模拟了基片-薄膜相互作用。我们调查的薄膜方程数值，并与实验结果进行比较。我们发现，该模型捕捉到了真正的相分离流体的定性特征，特别是浓度梯度产生薄膜变薄和表面粗糙化的趋势。相分离的最终结果强烈依赖于浓度梯度对流动的动态反作用，正如我们所证明的，当在膜的表面施加剪切应力时。当反作用小时，相畴边界与施加的应力的方向对齐，而随着反作用变大，畴开始在垂直方向对齐。
英文摘要：
We study phase separation in thin films using the Navier--Stokes Cahn--Hilliard equations in the lubrication approximation, modeling substrate-film interactions with a van der Waals potential. We investigate the thin-film equations numerically and compare them with experimental results. We find that the model captures the qualitative features of real phase-separating fluids, in particular the tendency of concentration gradients to produce film thinning and surface roughening. The ultimate outcome of the phase separation depends strongly on the dynamical backreaction of concentration gradients on the flow, as we demonstrate when a shear stress is applied at the film's surface. When the backreaction is small, the phase domain boundaries align with the direction of the imposed stress, while as the backreaction is made larger, the domains begin to align in the perpendicular direction.
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