{
  "annotation_id": "8a3a07b9-1c7b-4800-8cdf-fb651fbbcf86",
  "date_created": "2026-03-02T18:01:14.014000Z",
  "date_modified": "2026-03-02T18:01:14.014000Z",
  "file_hash": "f71c07f7f9bc03ed5ba9dc4f1a3212c6c345d811cb88f39a06f056700190794f",
  "private": false,
  "record": {
    "abstract": "We present a simple approximate analytical estimate for self-energy of a\ncharge in the middle of cylindrical channel of a high permittivity epsilon_1 in\na media of a low permittivity epsilon_2 (for the cases of infinitely long and\ncomparatively short channels) and show that this estimate is in a good\nquantitative agreement with exact solution of Poisson equation. Further, using\nthese estimates, we explain the observed a lower conductivity, caused by an\nincreased the self-free-energy for ions, whose diameter is by ~1 angstrom less\nthan that of the channel (as compared to ions, whose diameter is equal to that\nof the channel).",
    "arxiv_id": "physics/0612139",
    "authors": [
      "Alexei V. Finkelstein",
      "Dmitry N. Ivankov",
      "Alexander M. Dykhne"
    ],
    "categories": [
      "physics.bio-ph"
    ],
    "title": "Energy Barrier for an Ion Crossing an Intra-Membrane Channel",
    "url": "https://arxiv.org/abs/physics/0612139"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a488c521-a0de-497d-8db3-ae7c28e04897",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}