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Slender phoretic loops and knots
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Katsamba, Panayiota, Butler, Matthew, Koens, Lyndon and Montenegro-Johnson, Thomas D. (2024) Slender phoretic loops and knots. Physical Review Fluids, 9 (5). 054201 . doi:10.1103/PhysRevFluids.9.054201 ISSN 2469-990X.
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Official URL: 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.
Item Type: | Journal Article | |||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Journal or Publication Title: | Physical Review Fluids | |||||||||
Publisher: | American Physical Society | |||||||||
ISSN: | 2469-990X | |||||||||
Official Date: | 10 May 2024 | |||||||||
Dates: |
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Volume: | 9 | |||||||||
Number: | 5 | |||||||||
Article Number: | 054201 | |||||||||
DOI: | 10.1103/PhysRevFluids.9.054201 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Open Access (Creative Commons) | |||||||||
Copyright Holders: | © 2024 American Physical Society | |||||||||
Date of first compliant deposit: | 1 May 2024 | |||||||||
Date of first compliant Open Access: | 10 May 2024 | |||||||||
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