Investigation of the dynamics of geometrically restricted soft matter systems with long-ranged interactions

我们提出了一个系统的理论和实验研究的几何限制软物质系统的动力学与长程排斥和吸引力的相互作用。作为主要的研究系统，我们将使用超顺磁性胶体粒子被重力捕获在流体界面。对于这种胶体的大小超过几十微米，存在的长程毛细相互作用的颗粒之间，一个类似于屏蔽牛顿重力在两个维度上，结合排斥偶极-偶极相互作用诱导的外部磁场，提供了一个新的模型系统的动力学和结构形成的研究中存在的长程吸引力。特别关注的是低维设置，系统的外部几何约束及其对动力学的影响。此外，流体动力学相互作用预计将在准二维系统中表现出特殊的功能，因为颗粒的二维层和真正的，但几何限制的三维溶剂之间的相互作用预计将显着不同于真正的二维或三维设置。拟议的项目涵盖同一系统的实验和理论工作，并密切合作，从而为理论和实验带来更多的互利和富有成效的投入。

We propose a systematic theoretical and experimental study of the dynamics of geometrically restricted soft matter systems with long-ranged repulsive and attractive interactions. As major system for investigation, we will use superparamagnetic colloidal particles trapped by gravity at a fluid interface. For such colloids with sizes above a tens of micrometers, the presence of a long-ranged capillary interaction among the particles, an analogue to screened Newtonian gravity in two dimensions, combined with repulsive dipole-dipole interactions induced by an external magnetic field, provides a new model system for the study of dynamics and structure formation in the presence of long-ranged attractions. Special focus will be on the low-dimensional setup, external geometric constraints of the system and their consequences on the dynamics. Additionally, hydrodynamic interactions are expected to exhibit special features in quasi two-dimensional systems, as the interplay between the two-dimensional layer of particles and the genuine, but geometrically restricted three-dimensional solvent is expected to differ significantly from genuinely two- or three-dimensional setups. The proposed project covers experimental and theoretical work on the same system and in close collaboration, resulting in additional mutual benefits and fruitful input for both, theory and experiment.