Slender phoretic loops and knots

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Katsamba, Panayiota and Butler, Matthew D. and Koens, Lyndon and Montenegro-Johnson, Thomas D. (2024) Slender phoretic loops and knots. Physical Review Fluids, 9 (5). 054201. ISSN 2469-990X (https://doi.org/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.

ORCID iDs

Katsamba, Panayiota, Butler, Matthew D. ORCID logoORCID: https://orcid.org/0000-0002-7110-163X, Koens, Lyndon and Montenegro-Johnson, Thomas D.;
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