Hydrodynamic synchronization and collective dynamics of colloidal particles driven along a circular path

Takumi Miyamoto, Masayuki Imai, Nariya Uchida

Research output: Contribution to journalArticle

Abstract

We study theoretically the collective dynamics of particles driven by an optical vortex along a circular path. Phase equations of N particles are derived by taking into account both hydrodynamic and repulsive interactions between them. For N=2, the particles attract with each other and synchronize, forming a doublet that moves faster than a singlet. For N=3 and 5, we find periodic rearrangement of doublets and a singlet. For N=4 and 6, the system exhibits either a periodic oscillating state or a stable synchronized state depending on the initial conditions. These results reproduce main features of previous experimental findings. We quantitatively discuss the mechanisms governing the nontrivial collective dynamics.

Original languageEnglish
Article number032607
JournalPhysical Review E
Volume100
Issue number3
DOIs
Publication statusPublished - 2019 Sep 11

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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