Self-Propelled Motion of the Camphor Float With n-Fold Rotational Symmetry
It is known that a camphor particle at a water surface exhibits self-propulsion since it releases camphor molecules at the surface and reduces the surface tension, and the gradient of surface tension drives the camphor particle itself. Such a motion is considered to be driven by the concentration fi...
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Format: | Article |
Language: | English |
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Frontiers Media S.A.
2022-04-01
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Series: | Frontiers in Physics |
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Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2022.858791/full |
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author | Hiroyuki Kitahata Yuki Koyano |
author_facet | Hiroyuki Kitahata Yuki Koyano |
author_sort | Hiroyuki Kitahata |
collection | DOAJ |
description | It is known that a camphor particle at a water surface exhibits self-propulsion since it releases camphor molecules at the surface and reduces the surface tension, and the gradient of surface tension drives the camphor particle itself. Such a motion is considered to be driven by the concentration field of the chemicals emitted by the particle itself. It is also known that the shape of the particle seriously affects the mode of motion. In order to understand the universal mechanism on the effect of the shape on such a self-propelled motion, we theoretically investigated the bifurcation structure of the motion of the camphor float with n-fold rotational symmetry, which comprises n camphor disks attached to a rigid light circular plate along a periphery with an equivalent spacing. Here, we mainly studied the cases with n = 2 and 3. We found that the camphor float with n = 2 moves in the direction perpendicular to the line connecting the two camphor disks, while that with n = 3 changes its direction of motion depending on the size of the camphor float. |
first_indexed | 2024-12-21T05:03:22Z |
format | Article |
id | doaj.art-b134dd7a138f4650b71cae465b47972f |
institution | Directory Open Access Journal |
issn | 2296-424X |
language | English |
last_indexed | 2024-12-21T05:03:22Z |
publishDate | 2022-04-01 |
publisher | Frontiers Media S.A. |
record_format | Article |
series | Frontiers in Physics |
spelling | doaj.art-b134dd7a138f4650b71cae465b47972f2022-12-21T19:15:11ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-04-011010.3389/fphy.2022.858791858791Self-Propelled Motion of the Camphor Float With n-Fold Rotational SymmetryHiroyuki Kitahata0Yuki Koyano1Department of Physics, Graduate School of Science, Chiba University, Chiba, JapanDepartment of Human Environmental Science, Graduate School of Human Development and Environment, Kobe University, Kobe, JapanIt is known that a camphor particle at a water surface exhibits self-propulsion since it releases camphor molecules at the surface and reduces the surface tension, and the gradient of surface tension drives the camphor particle itself. Such a motion is considered to be driven by the concentration field of the chemicals emitted by the particle itself. It is also known that the shape of the particle seriously affects the mode of motion. In order to understand the universal mechanism on the effect of the shape on such a self-propelled motion, we theoretically investigated the bifurcation structure of the motion of the camphor float with n-fold rotational symmetry, which comprises n camphor disks attached to a rigid light circular plate along a periphery with an equivalent spacing. Here, we mainly studied the cases with n = 2 and 3. We found that the camphor float with n = 2 moves in the direction perpendicular to the line connecting the two camphor disks, while that with n = 3 changes its direction of motion depending on the size of the camphor float.https://www.frontiersin.org/articles/10.3389/fphy.2022.858791/fullcamphorself-propelled motionreaction-diffusion systemsurface tensionMarangoni effectspontaneous symmetry breaking |
spellingShingle | Hiroyuki Kitahata Yuki Koyano Self-Propelled Motion of the Camphor Float With n-Fold Rotational Symmetry Frontiers in Physics camphor self-propelled motion reaction-diffusion system surface tension Marangoni effect spontaneous symmetry breaking |
title | Self-Propelled Motion of the Camphor Float With n-Fold Rotational Symmetry |
title_full | Self-Propelled Motion of the Camphor Float With n-Fold Rotational Symmetry |
title_fullStr | Self-Propelled Motion of the Camphor Float With n-Fold Rotational Symmetry |
title_full_unstemmed | Self-Propelled Motion of the Camphor Float With n-Fold Rotational Symmetry |
title_short | Self-Propelled Motion of the Camphor Float With n-Fold Rotational Symmetry |
title_sort | self propelled motion of the camphor float with n fold rotational symmetry |
topic | camphor self-propelled motion reaction-diffusion system surface tension Marangoni effect spontaneous symmetry breaking |
url | https://www.frontiersin.org/articles/10.3389/fphy.2022.858791/full |
work_keys_str_mv | AT hiroyukikitahata selfpropelledmotionofthecamphorfloatwithnfoldrotationalsymmetry AT yukikoyano selfpropelledmotionofthecamphorfloatwithnfoldrotationalsymmetry |