Slender phoretic loops and knots

Katsamba, Panayiota; Butler, Matthew D.; Koens, Lyndon; Montenegro-Johnson, Thomas D.

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.

Citation

Katsamba, P., Butler, M. D., Koens, L., & Montenegro-Johnson, T. D. (2024). Slender phoretic loops and knots. Physical Review Fluids, 9(5), Article 054201. https://doi.org/10.1103/PhysRevFluids.9.054201

• Journal Article Type: Article
• Acceptance Date: Apr 8, 2024
• Online Publication Date: May 10, 2024
• Publication Date: May 1, 2024
• Deposit Date: Jun 3, 2024
• Publicly Available Date: Jun 4, 2024
• Journal: Physical Review Fluids
• Print ISSN: 2469-990X
• Electronic ISSN: 2469-990X
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 9
• Issue: 5
• Article Number: 054201
• DOI: https://doi.org/10.1103/PhysRevFluids.9.054201
• Public URL: https://hull-repository.worktribe.com/output/4674418