{
  "annotation_id": "4d82fac3-6eab-4821-98ed-03c940783b44",
  "date_created": "2026-03-02T18:01:21.232000Z",
  "date_modified": "2026-03-02T18:01:21.232000Z",
  "file_hash": "73c097c1a24611f751628496da1c425f726f7a43ef9dfba4c656e07ba3e501d4",
  "private": false,
  "record": {
    "abstract": "We consider the design criteria of a chemical mixing device based on a\nchaotic flow, with an emphasis on the steady-state devices. The merit of a\nreactor, defined as the $Q$-factor, is related to the physical dimension of the\ndevice and the molecular diffusivity of the reactants through the local\nLyapunov exponents of the flow. The local Lyapunov exponent can be calculated\nfor any given flow field and it can also be measured in experimental\nsituations. Easy-to-compute formulae are provided to estimate the $Q$-factor\ngiven either the exact spatial dependence of the local Lyapunov exponent or its\nprobability distribution function. The requirements for optimization are made\nprecise in the context of local Lyapunov exponents.",
    "arxiv_id": "physics/9803016",
    "authors": [
      "X. Z. Tang",
      "A. H. Boozer"
    ],
    "categories": [
      "physics.flu-dyn",
      "chao-dyn",
      "nlin.CD",
      "physics.chem-ph"
    ],
    "doi": "10.1063/1.166389",
    "title": "Design criteria of a chemical reactor based on a chaotic flow",
    "url": "https://arxiv.org/abs/physics/9803016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "547fa7b0-a58c-46a4-8044-5ccff5f19f90",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}