{
  "annotation_id": "162c14a6-0290-4d3d-bc9a-206f93554caf",
  "date_created": "2026-03-02T18:00:56.885000Z",
  "date_modified": "2026-03-02T18:00:56.885000Z",
  "file_hash": "df731302373c1127b99539fe57059c1ad188b26175252b83c12a8370107817d3",
  "private": false,
  "record": {
    "abstract": "Given the difficulty of obtaining compact analytical solutions for diffusion\nof interacting geminate pairs (such as electron-hole pairs generated by\nionization of liquid) it is common, following the original method of Mozumder,\nto \"prescribe\" this diffusion. With this approach, the survival probability of\nthe pair is represented as a product of the survival probability for a freely\ndiffusing pair and a suitably defined weighting function. This approach gives\nthe correct limiting survival probability for a pair in the Coulomb field. The\nsame approach was used for simulation of reaction dynamics in radiolytic spurs\n(\"independent reaction times\" approach of Pimblott) and solve other vexing\ndiffusion problems that do not have analytical solution. A reasonable question\nis, can the same method be used for any other interaction potential than\nCoulomb? Here we demonstrate that such a prescription is generally impossible.\nThe correct result given by the prescribed diffusion approach for the Coulomb\npotential is, actually, purely accidental. The method is inherently\ncontradictory and it should be used with caution.",
    "arxiv_id": "physics/0501122",
    "authors": [
      "Ilya A. Shkrob"
    ],
    "categories": [
      "physics.chem-ph"
    ],
    "title": "Is it possible to \"prescribe\" the diffusion for a geminate pair in a   force field?",
    "url": "https://arxiv.org/abs/physics/0501122"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "11097647-9472-4781-ab09-27d3b4bb137f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}