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Nonlinear Sciences > Pattern Formation and Solitons

arXiv:1909.00545 (nlin)
[Submitted on 2 Sep 2019 (v1), last revised 16 Mar 2020 (this version, v2)]

Title:Two floating camphor particles interacting through lateral capillary force

Authors:Yuhei Hirose, Yusuke Yasugahira, Mamoru Okamoto, Yuki Koyano, Hiroyuki Kitahata, Masaharu Nagayama, Yutaka Sumino
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Abstract:We consider a mathematical model for a two-particle system driven by the spatial gradient of a concentration field of chemicals with conservative attractive interactions in one dimension. This setup corresponds to an experimental system with floating camphor particles at a water surface. Repulsive interaction is introduced, as well as self-propelling force, through the concentration field of camphor molecules at the water surface. Here we newly adopt the attractive lateral capillary force due to the deformation of the water surface. The particles experience competing dissipative repulsion and conservative attraction. We numerically investigated the mathematical model, and found six different modes of motion. The theoretical approach revealed that some of such mode transitions can be understood in terms of bifurcation.
Comments: 9 pages, 6 figures
Subjects: Pattern Formation and Solitons (nlin.PS); Soft Condensed Matter (cond-mat.soft)
Cite as: arXiv:1909.00545 [nlin.PS]
  (or arXiv:1909.00545v2 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.1909.00545
Journal reference: J. Phys. Soc. Jpn. 89, 074004 (2020)
Related DOI: https://doi.org/10.7566/JPSJ.89.074004

Submission history

From: Yutaka Sumino [view email]
[v1] Mon, 2 Sep 2019 04:57:35 UTC (719 KB)
[v2] Mon, 16 Mar 2020 07:22:59 UTC (6,411 KB)
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