The instability and rupture of nanoscale liquid threads is shown to strongly depend on thermal fluctuations. These fluctuations are naturally occurring within molecular dynamics (MD) simulations and can be incorporated via fluctuating hydrodynamics into a stochastic lubrication equation (SLE). A simple and robust numerical scheme is developed for the SLE that is validated against MD for both the initial (linear) instability and the nonlinear rupture process. Particular attention is paid to the rupture process and its statistics, where the `double-cone’ profile reported by Moseler & Landmann is observed, as well as other distinct profile forms depending on the flow conditions. Comparison to the similarity solution in Eggers , a power-law of the minimum thread radius against time to rupture, shows agreement only at low surface tension; indicating that surface tension cannot generally be neglected when considering rupture dynamics.

中文翻译：

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液体纳米线的动力学：波动驱动的不稳定性和破裂

纳米级液体线的不稳定性和破裂被证明很大程度上取决于热波动。这些波动是自然发生在分子动力学（MD）模拟中的，可以通过波动的流体动力学纳入随机润滑方程（SLE）中。针对SLE开发了一种简单而强大的数值方案，该方案针对初始（线性）不稳定性和非线性破裂过程均经过MD验证。特别要注意破裂过程及其统计数据，在该过程中会观察到Moseler＆Landmann报告的“双锥体”轮廓，以及取决于流动条件的其他不同轮廓形式。与Eggers中的相似性解决方案进行比较，Eggers中的最小螺纹半径与断裂时间的幂律关系仅在低表面张力时才显示出一致性；