Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany.
Phys Rev E. 2019 Jan;99(1-1):012601. doi: 10.1103/PhysRevE.99.012601.
Many practically relevant materials combine properties of viscous fluids and elastic solids to viscoelastic behavior. Our focus is on the induced dynamic behavior of damped finite-sized particulate inclusions in such substances. We explicitly describe history-dependent interactions that emerge between the embedded particles. These interactions are mediated by the viscoelastic surroundings. They result from the flows and distortions of the viscoelastic medium when induced by the rigid inclusions. Both viscoelastic environments of terminal fluidlike flow and of completely reversible damped elastic behavior are covered. For illustration and to highlight the role of the formalism in potential applications, we briefly address the relevant examples of dragging a rigid sphere through a viscoelastic environment together with subsequent relaxation dynamics, the switching dynamics of magnetic fillers in elastic gel matrices, and the swimming behavior of active microswimmers in viscoelastic solutions. The approach provides a basis for more quantitative and extended investigations of these and related systems in the future.
许多实际相关的材料结合了粘性流体和弹性固体的特性，表现出粘弹性行为。我们关注的是这种物质中阻尼有限尺寸颗粒夹杂所引起的动态行为。我们明确描述了嵌入颗粒之间出现的与历史相关的相互作用。这些相互作用是由粘弹性环境介导的。它们是由刚性夹杂引起的粘弹性介质的流动和变形引起的。涵盖了终端流体流动和完全可逆阻尼弹性行为的粘弹性环境。为了说明并突出形式在潜在应用中的作用，我们简要讨论了通过粘弹性环境拖动刚性球体以及随后的松弛动力学、弹性凝胶基质中磁性填充剂的切换动力学以及在粘弹性溶液中主动微游泳者的游泳行为的相关示例。该方法为未来更定量和扩展这些和相关系统的研究提供了基础。
