{
  "annotation_id": "6ec932a9-97dd-4940-9516-5a0cf4504894",
  "date_created": "2026-03-02T18:00:53.408000Z",
  "date_modified": "2026-03-02T18:00:53.408000Z",
  "file_hash": "0007612835899aab418eaed68cc54fe0b6499bbe7c6af0ac82fc7b1830287091",
  "private": false,
  "record": {
    "abstract": "We present a three--pronged numerical approach to the dynamo problem at low\nmagnetic Prandtl numbers $P_M$. The difficulty of resolving a large range of\nscales is circumvented by combining Direct Numerical Simulations, a\nLagrangian-averaged model, and Large-Eddy Simulations (LES). The flow is\ngenerated by the Taylor-Green forcing; it combines a well defined structure at\nlarge scales and turbulent fluctuations at small scales. Our main findings are:\n(i) dynamos are observed from $P_M=1$ down to $P_M=10^{-2}$; (ii) the critical\nmagnetic Reynolds number increases sharply with $P_M^{-1}$ as turbulence sets\nin and then saturates; (iii) in the linear growth phase, the most unstable\nmagnetic modes move to small scales as $P_M$ is decreased and a Kazantsev\n$k^{3/2}$ spectrum develops; then the dynamo grows at large scales and modifies\nthe turbulent velocity fluctuations.",
    "arxiv_id": "physics/0410046",
    "authors": [
      "Y. Ponty",
      "P. D. Mininni",
      "D. C. Montgomery",
      "J. -F. Pinton",
      "H. Politano",
      "A. Pouquet"
    ],
    "categories": [
      "physics.geo-ph",
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevLett.94.164502",
    "title": "Numerical study of dynamo action at low magnetic Prandtl numbers",
    "url": "https://arxiv.org/abs/physics/0410046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b2cd7ed1-7c78-403a-8c8e-cfe4f2b61c31",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}