Traveling band formation in feedback-driven colloids
Abstract
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 (DDFT). Traveling band formation also persists in systems of finite size leading, in the case of circularly confined systems, to rotating traveling waves.
Cite
@article{arxiv.1904.08373,
title = {Traveling band formation in feedback-driven colloids},
author = {Sonja Tarama and Stefan U. Egelhaaf and Hartmut Löwen},
journal= {arXiv preprint arXiv:1904.08373},
year = {2019}
}
Comments
15 pages, 13 figures; Results unchanged, Section IV has been modified to connect the theory to previous one-particle studies. The final version of the article can be found at: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.022609 \copyright 2019 American Physical Society