Theoretical description of the dynamics of colloidal particles in flowing solvents near liquid-solid interfaces

我们在动态密度泛函理论（DDFT）的框架下研究了受限几何（即靠近墙壁或两个较大颗粒之间）中的复杂流体的动力学。这种平衡密度泛函理论（DFT）的非平衡扩展允许用粒子密度的演化方程来描述微观水平上相互作用的布朗粒子的集体动力学。我们将讨论与在壁面附近应用基于示踪粒子的流体测速方法有关的问题，描述小通道中悬浮液流动的流体动力学方程的边界条件，以及流体结构介导的颗粒之间以及颗粒与壁面之间的相互作用（所谓的耗尽相互作用）。为此，我们扩展了动态密度泛函理论，以包括溶剂流动和颗粒与壁之间的流体动力相互作用的影响。

We study the dynamics of complex fluids in confined geometries (i.e., near walls or between two larger particles) in the framework of the dynamic density functional theory (DDFT). This non-equilibrium extension of the equilibrium density functional theory (DFT) allows to describe the collective dynamics of interacting Brownian particles at the microscopic level in terms of an evolution equation for the particle density. We will address issues related to the application of tracer particle based fluid velocimetry methods in the vicinity of walls, to boundary conditions for hydrodynamic equations describing the flow of suspensions in small channels, and to fluid structure mediated interactions among particles as well as between particles and walls (so-called depletion interactions). To this end, we extend the dynamic density functional theory to include the effect of solvent flow and hydrodynamic interactions between particles and walls.