{
  "abstract": "In spite of the qualitative differences between Stokes flows in 2 and 3 dimensions, most particle-resolved computational studies of microswimmers and other colloidal systems dominated by low-Re hydrodynamic interactions are carried out in triply periodic geometries, while the corresponding continuum descriptions are frequently solved in 2-dimensional doubly periodic domains. Furthermore, most experimental examples of biological and synthetic microswimmers are realised in confined, quasi-2-dimensional geometries with a finite thickness in one of the three dimensions. To enable studying the non-trivial differences between these system geometries, in this paper we systematically derive Ewald representations for periodic Stokes force multipoles in geometries with two periodic directions, treating both three-dimensional Stokes flow with one unbounded coordinate and intrinsically two-dimensional singularities. Starting from the periodic Stokeslet, we obtain explicit expressions for force dipoles and quadrupoles and analyse the non-trivial zero-wavevector contribution arising under partial periodicity. The analytical expressions are independently validated by comparing with results from an explicit lattice Boltzmann solver in each geometry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00308",
  "author_total": 4,
  "authors": [
    {
      "name": "Teunike A. van de Pol"
    },
    {
      "name": "Zhan Ma"
    },
    {
      "name": "Alexander Morozov"
    },
    {
      "name": "Joakim Stenhammar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/41bwjm34da73v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00308",
  "fulltext_url": null,
  "id": "41bwjm34da73v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00308",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00308",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/41bwjm34da73v.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.00308",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00308"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Ewald summation of doubly periodic 2- and 3-dimensional Stokes multipoles",
  "title_text": "Ewald summation of doubly periodic 2- and 3-dimensional Stokes multipoles",
  "type": "preprint",
  "updated_at": "2026-11-03T12:20:59Z",
  "url": "https://research.draconitic.com/paper/41bwjm34da73v",
  "venue": "arXiv",
  "versions": []
}