{
  "id": "2406.05235",
  "version": "v1",
  "published": "2024-06-07T19:49:54.000Z",
  "updated": "2024-06-07T19:49:54.000Z",
  "title": "Control of Microparticles Through Hydrodynamic Interactions",
  "authors": [
    "Henry Shum",
    "Marta Zoppello",
    "Michael Astwood",
    "Marco Morandotti"
  ],
  "categories": [
    "physics.flu-dyn",
    "cond-mat.soft"
  ],
  "abstract": "The controllability of passive microparticles that are advected with the fluid flow generated by an actively controlled one is studied. The particles are assumed to be suspended in a viscous fluid and well separated so that the far-field Stokes flow solutions may be used to describe their interactions. Applying concepts from geometric control theory, explicit moves characterized by a small amplitude parameter $\\varepsilon$ are devised to prove that the active particle can control one or two passive particles. The leading-order (in $\\varepsilon$) theoretical predictions of the particle displacements are compared with those obtained numerically and it is found that the discrepancy is small even when $\\varepsilon\\approx 1$. These results demonstrate the potential for a single actuated particle to perform complex micromanipulations of passive particles in a suspension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-07T19:49:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hydrodynamic interactions",
      "microparticles",
      "far-field stokes flow solutions",
      "perform complex micromanipulations",
      "small amplitude parameter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}