Sheared capillary waves on nanometer scales

纳米尺度的剪切毛细波

• 批准号: 23959189
• 负责人: Professor Dr. Klaus Mecke
• 金额: --
• 依托单位: Institut für Theoretische Physik
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2006
• 资助国家: 德国
• 起止时间: 2005-12-31 至 2011-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/23959189?language=en
• 关键词: Sheared; capillary; waves; nanometer; scales

In bulk fluids hydrodynamic Navier-Stokes equations are proven to be valid down to the nanometer scale. However, at interfaces it was shown recently that the interplay of substrate potentials and thermal noise can lead to qualitative different behaviour on laterally much larger scales up to microns. Based on a stochastic version of the hydrodynamic equations this proposal aims at the theoretical modelling of fluid flow at interfaces, where recent experiments indicate an influence of thermal noise on fluid flow: (i) droplet coalescence and interfacial flow in sheared colloidal dispersions; (ii) capillary waves on a nanometer scale; (iii) fluid flow in thin liquid films. We will apply non-linear stochastic hydrodynamic equations and time-dependent density functional theory, in combinations with geometric techniques such as normal coordinates. We expect to elucidate (i) the role of thermal capillary waves on the coalescence event; (ii) the dependence of dispersion relations and damping factors on molecular interactions; (iii) the discrepancies between experiments and simulations - discovered recently in thin film flow.

在体相流体中，流体动力学Navier-Stokes方程被证明是有效的，直到纳米尺度。然而，在界面处，最近表明，基板电位和热噪声的相互作用可以导致横向上大得多的尺度上的定性不同的行为，高达微米。基于随机版本的流体动力学方程，该建议的目的是在界面处的流体流动的理论建模，其中最近的实验表明热噪声对流体流动的影响：（i）液滴聚结和剪切胶体分散体中的界面流动;（ii）纳米尺度上的毛细管波;（iii）薄液膜中的流体流动。我们将应用非线性随机流体动力学方程和含时密度泛函理论，结合几何技术，如正常坐标。我们希望阐明（一）热毛细波的聚结事件的作用;（二）分子相互作用的色散关系和阻尼因子的依赖性;（三）实验和模拟之间的差异-最近发现在薄膜流。