A sweeping twist defect as a topological flagellum that drives colloid motion

Fuente: arXiv
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Autores principales: Zhang, Qi Xing, Dore, Claire, Rajabi, Mojtaba, Steager, Edward B., Stebe, Kathleen J.
Formato: Preprint
Publicado: 2026
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_version_ 1866917531284930560
author Zhang, Qi Xing
Dore, Claire
Rajabi, Mojtaba
Steager, Edward B.
Stebe, Kathleen J.
author_facet Zhang, Qi Xing
Dore, Claire
Rajabi, Mojtaba
Steager, Edward B.
Stebe, Kathleen J.
contents Nematic liquid crystals can dramatically reconfigure under dynamic forcing, providing exciting opportunities in active matter. Here, we study a hybrid disk colloid rotated by an external field which generates a dynamic companion topological defect. The disk moves faster when the defect sweeps across the disk's face. We identify the defect as a non-singular twist wall, characterize the twist energy landscape, and identify the sweeping motion as a topological instability. As the defect sweeps, it reverses the handedness of twist and lowers the free energy in the fluid in the gap above the disk. Landau-de Gennes modeling shows that the sweeping wall behaves as a propagating director texture: the director field is nearly stationary in the wall frame, while nematogens rotate locally as the wall passes. The nematogens' rotation generates a viscous stress on the surface of the disk that hastens its propulsion. Thus, the defect acts as a flagellum that powers colloid swimming, providing an example of a dissipative topological structure whose dynamics can be harnessed to perform useful work.
format Preprint
id arxiv_https___arxiv_org_abs_2605_25606
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A sweeping twist defect as a topological flagellum that drives colloid motion
Zhang, Qi Xing
Dore, Claire
Rajabi, Mojtaba
Steager, Edward B.
Stebe, Kathleen J.
Soft Condensed Matter
Nematic liquid crystals can dramatically reconfigure under dynamic forcing, providing exciting opportunities in active matter. Here, we study a hybrid disk colloid rotated by an external field which generates a dynamic companion topological defect. The disk moves faster when the defect sweeps across the disk's face. We identify the defect as a non-singular twist wall, characterize the twist energy landscape, and identify the sweeping motion as a topological instability. As the defect sweeps, it reverses the handedness of twist and lowers the free energy in the fluid in the gap above the disk. Landau-de Gennes modeling shows that the sweeping wall behaves as a propagating director texture: the director field is nearly stationary in the wall frame, while nematogens rotate locally as the wall passes. The nematogens' rotation generates a viscous stress on the surface of the disk that hastens its propulsion. Thus, the defect acts as a flagellum that powers colloid swimming, providing an example of a dissipative topological structure whose dynamics can be harnessed to perform useful work.
title A sweeping twist defect as a topological flagellum that drives colloid motion
topic Soft Condensed Matter
url https://arxiv.org/abs/2605.25606