{
  "annotation_id": "c718816c-2b82-4df0-b478-e7e39914d5e7",
  "date_created": "2026-03-02T18:00:50.426000Z",
  "date_modified": "2026-03-02T18:00:50.426000Z",
  "file_hash": "8926c23e2a68a2fa732907bdbb4d8a4e8706e94793f940f273c18e50268aeb2b",
  "private": false,
  "record": {
    "abstract": "We study a model electrochemical thin film at dc currents exceeding the\nclassical diffusion-limited value. The mathematical problem involves the steady\nPoisson-Nernst-Planck equations for a binary electrolyte with nonlinear\nboundary conditions for reaction kinetics and Stern-layer capacitance, as well\nas an integral constraint on the number of anions. At the limiting current, we\nfind a nested boundary layer structure at the cathode, which is required by the\nreaction boundary condition. Above the limiting current, a depletion of anions\ngenerally characterizes the cathode side of the cell. In this regime, we derive\nleading-order asymptotic approximations for the (i) classical bulk space-charge\nlayer and (ii) another, nested highly charged boundary layer at the cathode.\nThe former involves an exact solution to the Nernst-Planck equations for a\nsingle, unscreened ionic species, which may apply more generally to Faradaic\nconduction through very thin insulating films. By matching expansions, we\nderive current-voltage relations well into the space-charge regime. Throughout\nour analysis, we emphasize the strong influence of the Stern-layer capacitance\non cell behavior.",
    "arxiv_id": "physics/0406076",
    "authors": [
      "Kevin T. Chu",
      "Martin Z. Bazant"
    ],
    "categories": [
      "physics.chem-ph"
    ],
    "title": "Electrochemical Thin Films At and Above the Classical Limiting Current",
    "url": "https://arxiv.org/abs/physics/0406076"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d50563e1-e61d-4523-9cb4-2b7c75df6928",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}