Intrinsic speed characteristics of a self-propelled camphor disk under repulsive perturbations
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866918382846083072 |
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| author | Koyano, Yuki Górecki, Jerzy Kitahata, Hiroyuki |
| author_facet | Koyano, Yuki Górecki, Jerzy Kitahata, Hiroyuki |
| contents | Camphor is a well-studied material capable of generating self-propelled motion at a water surface, and the resulting dynamics can exhibit a wide range of behaviors. Here, we analyze a one-dimensional model describing a mobile camphor disk perturbed by a second localized camphor source. The interaction between the rotor and the perturbing disk is represented by a distance-dependent potential. The study is motivated by experiments in which a camphor rotor interacts with a fixed camphor disk placed on the water surface. Numerical simulations of the model reproduce the essential features of the experimentally observed position-dependent rotor velocity for all considered forms of the potential. For weak perturbations, we derive analytical solutions valid for arbitrary potential profiles. Both the simulations and the analytical results demonstrate a pronounced asymmetry in the rotor velocity depending on whether the rotor approaches or recedes from the perturbation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11823 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Intrinsic speed characteristics of a self-propelled camphor disk under repulsive perturbations Koyano, Yuki Górecki, Jerzy Kitahata, Hiroyuki Adaptation and Self-Organizing Systems Pattern Formation and Solitons Camphor is a well-studied material capable of generating self-propelled motion at a water surface, and the resulting dynamics can exhibit a wide range of behaviors. Here, we analyze a one-dimensional model describing a mobile camphor disk perturbed by a second localized camphor source. The interaction between the rotor and the perturbing disk is represented by a distance-dependent potential. The study is motivated by experiments in which a camphor rotor interacts with a fixed camphor disk placed on the water surface. Numerical simulations of the model reproduce the essential features of the experimentally observed position-dependent rotor velocity for all considered forms of the potential. For weak perturbations, we derive analytical solutions valid for arbitrary potential profiles. Both the simulations and the analytical results demonstrate a pronounced asymmetry in the rotor velocity depending on whether the rotor approaches or recedes from the perturbation. |
| title | Intrinsic speed characteristics of a self-propelled camphor disk under repulsive perturbations |
| topic | Adaptation and Self-Organizing Systems Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2602.11823 |