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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Main Authors: Hiroyuki Kitahata, Yuki Koyano
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-04-01
Series:Frontiers in Physics
Subjects:
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.
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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