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Slender phoretic loops and knots

Panayiota Katsamba1,5,*,†, Matthew D. Butler2,3,5,*,‡, Lyndon Koens4,§, and Thomas D. Montenegro-Johnson3,5,∥

  • 1Computation-based Science and Technology Research Center (CaSToRC), The Cyprus Institute, Nicosia, 2121, Cyprus
  • 2Department of Mathematics, University College London, London, WC1H 0AY, United Kingdom
  • 3Mathematics Institute, University of Warwick, Coventry, CV4 7EZ, United Kingdom
  • 4Department of Mathematics, University of Hull, Hull, HU6 7RX, United Kingdom
  • 5School of Mathematics, University of Birmingham, Birmingham, B15 2TT, United Kingdom

  • *These authors contributed equally to this work.
  • †p.katsamba@cyi.ac.cy
  • ‡matthew.butler@ucl.ac.uk
  • §l.m.koens@hull.ac.uk
  • ∥Tom.Montenegro-Johnson@warwick.ac.uk
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Phys. Rev. Fluids 9, 054201 – Published 10 May, 2024Erratum Phys. Rev. Fluids 10, 019901 (2025)

DOI: https://doi.org/10.1103/PhysRevFluids.9.054201

Abstract

We present an asymptotic theory for solving the dynamics of slender autophoretic loops and knots. Our formulation is valid for nonintersecting three-dimensional center lines, with arbitrary chemical patterning and varying (circular) cross-sectional radius, allowing a broad class of slender active loops and knots to be studied. The theory is amenable to closed-form solutions in simpler cases, allowing us to analytically derive the swimming speed of chemically patterned tori, and the pumping strength (stresslet) of a uniformly active slender torus. Using simple numerical solutions of our asymptotic equations, we then elucidate the behavior of many exotic active particle geometries, such as a bumpy uniformly active torus that spins and a Janus trefoil knot, which rotates as it swims forwards.

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Erratum

Erratum: Slender phoretic loops and knots [Phys. Rev. Fluids 9, 054201 (2024)]

Panayiota Katsamba, Matthew D. Butler, Lyndon Koens, and Thomas D. Montenegro-Johnson
Phys. Rev. Fluids 10, 019901 (2025)

Article Text

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Outline

Information

Phys. Rev. Fluids 9, 054201– Published 10 May, 2024
  • Received 19 December 2023
  • Accepted 8 April 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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