Autophoretic motion in three dimensions.
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Publication Date
2018-05-02Journal Title
Soft Matter
ISSN
1744-683X
Publisher
Royal Society of Chemistry (RSC)
Volume
14
Issue
17
Pages
3304-3314
Language
eng
Type
Article
This Version
AM
Physical Medium
Print
Metadata
Show full item recordCitation
Lisicki, M., Reigh, S. Y., & Lauga, E. L. (2018). Autophoretic motion in three dimensions.. Soft Matter, 14 (17), 3304-3314. https://doi.org/10.1039/c8sm00194d
Abstract
Janus particles with the ability to move phoretically in self-generated chemical concentration gradients are model systems for active matter. Their motion typically consists of straight paths with rotational diffusion being the dominant reorientation mechanism. In this paper, we show theoretically that by a suitable surface coverage of both activity and mobility, translational and rotational motion can be induced arbitrarily in three dimensions. The resulting trajectories are in general helical, and their pitch and radius can be controlled by adjusting the angle between the translational and angular velocity. Building on the classical mathematical framework for axisymmetric self-phoretic motion under fixed-flux chemical boundary conditions, we first show how to calculate the most general three-dimensional motion for an arbitrary surface coverage of a spherical particle. After illustrating our results on surface distributions, we next introduce a simple intuitive patch model to serve as a guide for designing arbitrary phoretic spheres.
Sponsorship
European Research Council (682754)
Identifiers
External DOI: https://doi.org/10.1039/c8sm00194d
This record's URL: https://www.repository.cam.ac.uk/handle/1810/276185
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http://www.rioxx.net/licenses/all-rights-reserved
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