论文标题
纳米级薄膜流中波动驱动的动力学：数值研究的物理见解
Fluctuation-driven dynamics in nanoscale thin-film flows: physical insights from numerical investigations
论文作者
论文摘要
热波动对纳米级流的影响是由数值方案捕获的，该数值方案是通过波动流体动力学来支撑的。随机润滑方程（SLE）在非均匀的自适应网格上求解，以研究一系列纳米级薄膜流。 Fornberg方案用于高分辨率的空间离散化，而完全不合理的时制方案则是用于数值稳定性的。在其发育的线性阶段，数值方法的准确性是针对热毛细管波的理论结果进行了验证的。然后，该框架用于研究三个有界薄膜流的非线性行为：（i）液滴扩散，在此得出新的功率定律； （ii）液滴结合，其中SLE以计算成本的一小部分重现了分子动力学结果，并且发现热波动减少了该过程，而与先前研究的现象相反； （iii）薄膜破裂，在考虑的政权中，不结合压力主导了破裂的最后阶段。
The effects of thermal fluctuations on nanoscale flows are captured by a numerical scheme that is underpinned by fluctuating hydrodynamics. A stochastic lubrication equation (SLE) is solved on non-uniform adaptive grids to study a series of nanoscale thin-film flows. The Fornberg scheme is used for high-resolution spatial discretisation and a fully-implicit time-marching scheme is designed for numerical stability. The accuracy of the numerical method is verified against theoretical results for thermal capillary waves during the linear stage of their development. The framework is then used to study the nonlinear behaviour of three bounded thin-film flows: (i) droplet spreading, where new power laws are derived; (ii) droplet coalescence, where molecular dynamics results are reproduced by the SLE at a fraction of the computational cost and it is discovered that thermal fluctuations decelerate the process, in contrast to previously investigated phenomena; and (iii) thin-film rupture, where, in the regime considered, disjoining pressure dominates the final stages of rupture.
