{
  "annotation_id": "ced19bbe-4848-4b18-9511-4ce8869961c3",
  "date_created": "2026-03-02T18:00:42.162000Z",
  "date_modified": "2026-03-02T18:00:42.162000Z",
  "file_hash": "f081ed5b7a771eb57557511861deb18f37d06490a799234cfb2407e37a0fc0e2",
  "private": false,
  "record": {
    "abstract": "We analyse charge inversion in colloidal systems at zero temperature using\nstability concepts, and connect this to the classical Thomson problem of\narranging electrons on sphere. We show that for a finite microion charge, the\nglobally stable, lowest energy state of the complex formed by the colloid and\nthe oppositely charged microions is always overcharged. This effect disappears\nin the continuous limit. Additionally, a layer of at least twice as many\nmicroions as required for charge neutrality is always locally stable. In an\napplied external electric field the stability of the microion cloud is reduced.\nFinally, this approach is applied to a system of two colloids at low but finite\ntemperature.",
    "arxiv_id": "physics/0211006",
    "authors": [
      "Michael Patra",
      "Marco Patriarca",
      "Mikko Karttunen"
    ],
    "categories": [
      "physics.chem-ph",
      "physics.bio-ph"
    ],
    "doi": "10.1103/PhysRevE.67.031402",
    "journal_ref": "Phys. Rev. E 67, 031402 (2003)",
    "title": "Stability of charge inversion, Thomson problem and application to   electrophoresis",
    "url": "https://arxiv.org/abs/physics/0211006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "730f11c6-62dd-49bd-8ff2-ea953e9470fe",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}