Slender Phoretic Loops and Knots
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911842727624704 |
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| author | Katsamba, Panayiota Butler, Matthew D. Koens, Lyndon Montenegro-Johnson, Thomas D. |
| author_facet | Katsamba, Panayiota Butler, Matthew D. Koens, Lyndon Montenegro-Johnson, Thomas D. |
| contents | We present an asymptotic theory for solving the dynamics of slender autophoretic loops and knots. Our formulation is valid for non-intersecting 3D centrelines, 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 behaviour 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10217 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Slender Phoretic Loops and Knots Katsamba, Panayiota Butler, Matthew D. Koens, Lyndon Montenegro-Johnson, Thomas D. Fluid Dynamics Soft Condensed Matter We present an asymptotic theory for solving the dynamics of slender autophoretic loops and knots. Our formulation is valid for non-intersecting 3D centrelines, 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 behaviour 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. |
| title | Slender Phoretic Loops and Knots |
| topic | Fluid Dynamics Soft Condensed Matter |
| url | https://arxiv.org/abs/2310.10217 |