Institute for Theoretical Physics II: Soft Matter, Heinrich Heine University Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany.
Condensed Matter Physics Laboratory, Heinrich Heine University Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany.
Phys Rev E. 2019 Aug;100(2-1):022609. doi: 10.1103/PhysRevE.100.022609.
Using simulation and theory we study the dynamics of a colloidal suspension in two dimensions subject to a time-delayed repulsive feedback that depends on the positions of the colloidal particles. The colloidal particles experience an additional potential that is a superposition of repulsive potential energies centered around the positions of all the particles a delay time ago. Here we show that such a feedback leads to self-organization of the particles into traveling bands. The width of the bands and their propagation speed can be tuned by the delay time and the range of the imposed repulsive potential. The emerging traveling band behavior is observed in Brownian dynamics computer simulations as well as microscopic dynamic density functional theory. Traveling band formation also persists in systems of finite size leading to rotating traveling waves in the case of circularly confined systems.
我们使用模拟和理论研究了在二维空间中的胶体悬浮液动力学，该悬浮液受到依赖于胶体颗粒位置的时滞排斥反馈的影响。胶体颗粒经历了一个额外的势，它是在延迟时间之前所有颗粒位置的排斥势能的叠加。在这里，我们表明这种反馈导致颗粒自组织成移动带。带的宽度及其传播速度可以通过延迟时间和所施加的排斥势的范围来调节。在布朗动力学计算机模拟以及微观动态密度泛函理论中都观察到了这种新出现的移动带行为。在有限尺寸的系统中，移动带的形成也得以持续，导致在圆形受限系统中出现旋转的移动波。
