{
  "annotation_id": "63a4827d-396c-405c-9002-1a89770e27b0",
  "date_created": "2026-03-02T18:00:28.466000Z",
  "date_modified": "2026-03-02T18:00:28.466000Z",
  "file_hash": "b9c89298da9889b1ce4b353ef7bbe3e5eda7484ae140f176735ab5fbb35c9808",
  "private": false,
  "record": {
    "abstract": "We evaluate the exact equilibrium distribution of gas molecules adsorbed on\nan active surface with an infinite number of attachment sites. Our result is a\nPoisson distribution having mean $X = {\\mu P P_s \\over P_e}$, with $\\mu$ the\nmean gas density, $ P_s$ the sticking probability, $P_e$ the evaporation\nprobability in a time interval $\\tau$, and $P$ Smoluchowski\u0027s exit probability\nin time interval $\\tau$ for the surface in question. We then solve for the case\nof a finite number of attachment sites using the mean field approximation,\nrecovering in this case the Langmuir isotherm.",
    "arxiv_id": "physics/0003002",
    "authors": [
      "Stephen L. Adler",
      "Indrajit Mitra"
    ],
    "categories": [
      "physics.data-an"
    ],
    "doi": "10.1103/PhysRevE.62.4386",
    "title": "The Equilibrium Distribution of Gas Molecules Adsorbed on an Active   Surface",
    "url": "https://arxiv.org/abs/physics/0003002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f6f53298-a12d-4718-a2f5-2d2b1be2550c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}