Katsamba, Panayiota;
Butler, Matthew D;
Koens, Lyndon;
Montenegro-Johnson, Thomas D;
(2024)
Slender phoretic loops and knots.
Physical Review Fluids
, 9
(5)
, Article 054201. 10.1103/PhysRevFluids.9.054201.
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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.
| Type: | Article |
|---|---|
| Title: | Slender phoretic loops and knots |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevFluids.9.054201 |
| Publisher version: | http://dx.doi.org/10.1103/physrevfluids.9.054201 |
| Language: | English |
| Additional information: | 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. |
| Keywords: | Science & Technology, Physical Sciences, Physics, Fluids & Plasmas, Physics, ELECTROPHORESIS |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10195202 |
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