{
  "abstract": "Understanding how chemically induced surface transport generates fluid motion in confined geometries is essential for the rational design of microscale pumping devices and active microfluidic systems. Here we develop a theoretical framework for chemically driven phoretic flows in a three-dimensional wedge geometry in the diffusion-dominated regime. We formulate both the diffusion and hydrodynamic problems using a Fourier-Kontorovich-Lebedev spectral representation, exploiting the translational invariance and radial structure of the wedge. Green's functions for the concentration field are derived for reflecting and mixed reflecting-absorbing boundaries, reducing to finite image-like sums or closed-form expressions for commensurate wedge angles. The resulting slip velocity is then used to construct the three-dimensional Stokes flow through the Papkovich-Neuber representation, yielding explicit spectral solutions for the velocity field. These results establish a Green's-function framework for phoretic pumping in wedge-shaped confinement and provide analytical benchmarks for numerical simulations of chemically driven transport in confined microfluidic systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.29262",
  "author_total": 3,
  "authors": [
    {
      "name": "Abdallah Daddi-Moussa-Ider"
    },
    {
      "name": "Semyon Yakubovich"
    },
    {
      "name": "Maciej Lisicki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/09bpwsa6emb2x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.29262",
  "fulltext_url": null,
  "id": "09bpwsa6emb2x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.29262",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.soft"
    ],
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "3104|Micro and Nano Robotics"
    ]
  ],
  "openalex": "W7172282706",
  "pdf_url": "https://arxiv.org/pdf/2607.29262",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/09bpwsa6emb2x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:54Z",
      "native_id": "2607.29262",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.29262"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Phoretic flow in a three-dimensional wedge geometry",
  "title_text": "Phoretic flow in a three-dimensional wedge geometry",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:54Z",
  "url": "https://research.draconitic.com/paper/09bpwsa6emb2x",
  "venue": "arXiv",
  "versions": []
}