{
  "abstract": "The organization of multiple knots along a polymer contour can depend sensitively on the topology of the constituent knots. Using coarse-grained Brownian-dynamics simulations, we investigate topology-dependent mixing of two knots in a flexible polymer at controlled normalized wall separation. We compare homogeneous ($3_1\\otimes 3_1$) and heterogeneous ($3_1\\otimes 5_1$) knot pairs using a contour-based coordinate that distinguishes mixed and demixed configurations. Starting from partially overlapping configurations, the $3_1\\otimes 5_1$ pair is observed in mixed configurations more frequently over the simulation time window than the $3_1\\otimes 3_1$ pair at intermediate wall separation. We further find that, over the intermediate range of normalized wall separation, mixing of the $3_1\\otimes5_1$ pair produces a composite knotted region that occupies substantially less polymer contour than the two constituent knots collectively occupy in demixed configurations. The corresponding reduction in contour occupancy is much smaller for the $3_1\\otimes3_1$ pair. This indicates that the heterogeneous constituent topologies can be accommodated within a smaller portion of the polymer contour in the composite configuration. These results establish that constituent topology can strongly influence multiple-knot organization in flexible polymers.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10188",
  "author_total": 2,
  "authors": [
    {
      "name": "Souradeep Sengupta"
    },
    {
      "name": "Garima Mishra"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ecrhd79b2t0mz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10188",
  "fulltext_url": null,
  "id": "ecrhd79b2t0mz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10188",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.soft"
    ],
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7212195029",
  "pdf_url": "https://arxiv.org/pdf/2609.10188",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ecrhd79b2t0mz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2609.10188",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10188"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Topology-dependent mixing of knots in flexible polymer chains",
  "title_text": "Topology-dependent mixing of knots in flexible polymer chains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:12Z",
  "url": "https://research.draconitic.com/paper/ecrhd79b2t0mz",
  "venue": "arXiv",
  "versions": []
}