Feedback control of colloidal transport
Abstract
We review recent work on feedback control of one-dimensional colloidal systems, both with instantaneous feedback and with time delay. The feedback schemes are based on measurement of the average particle position, a natural control target for an ensemble of colloidal particles, and the systems are investigated via the Fokker-Planck equation for overdamped Brownian particles. Topics include the reversal of current and the emergence of current oscillations, transport in ratchet systems, and the enhancement of mobility by a co-moving trap. Beyond the commonly considered case of non-interacting systems, we also discuss the treatment of colloidal interactions via (dynamical) density functional theory and provide new results for systems with attractive interactions.
Cite
@article{arxiv.1511.00413,
title = {Feedback control of colloidal transport},
author = {R. Gernert and S. A. M. Loos and K. Lichtner and S. H. L. Klapp},
journal= {arXiv preprint arXiv:1511.00413},
year = {2015}
}
Comments
19 pages, 6 figures; improved consistency in the notations; minor corrections in the text