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    Negative Drag Force on Beating Flagellar-Shaped Bodies in Active Fluids

    Timo Knippenberg1, Robin Bebon2, Thomas Speck2,*, and Clemens Bechinger1,3,†

    • 1Fachbereich Physik, Universität Konstanz, 78464 Konstanz, Germany
    • 2Institute for Theoretical Physics IV, University of Stuttgart, 70569 Stuttgart, Germany
    • 3Centre for the Advanced Study of Collective Behaviour, Universtätsstraße 10, 78464 Konstanz, Germany

    • *Contact author: thomas.speck@itp4.uni-stuttgart.de
    • †Contact author: clemens.bechinger@uni-konstanz.de

    Phys. Rev. Lett. 135, 118301 – Published 9 September, 2025

    DOI: https://doi.org/10.1103/3xbk-sxhh

    Abstract

    We experimentally investigate the drag force exerted by a suspension of light-induced active particles (APs) on a translating and beating idealized flagellum-shaped object realized through negative phototactic interactions with the APs. We observe both positive and negative drag forces, depending on the beating frequency and translational velocity, driven by the dynamic redistribution of APs in response to the object’s motion. These findings are supported by numerical simulations and an analytical model, extendable to a range of slender geometries. Our results illustrate the complex interplay between geometric body changes and the density distribution in active baths, which may also be relevant for microrobotic applications.

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