{
  "annotation_id": "d9c87c50-eeee-4f16-af80-7a9ec2564379",
  "date_created": "2026-03-02T18:01:17.709000Z",
  "date_modified": "2026-03-02T18:01:17.709000Z",
  "file_hash": "0e3b30de71cb2a2a45934f7213af2a47ae2c3a4392e1db0dfe7e38ddac377553",
  "private": false,
  "record": {
    "abstract": "New corrections to the equation of motion and total collapsing time of an\nempty spherical cavity immersed in an infinite incompressible medium are\nproposed on the assumption of a non-uniform density. The dimensionless number\nquantifying the corrections with respect to the standard Rayleigh results\n(coined the $\\Delta$-factor) is fully independent of other possible\ncontributions like surface tension and viscous terms. The $\\Delta$-factor\neffect advocated here can be seen as a direct consequence of a mass-shell\nnon-trivial solution to the continuity equation. The consistency of the\ncorrections with respect to the Bernoulli theorem and some physical\nconsequences in the framework of the Rayleigh-Plesset equation are also\ndiscussed.",
    "arxiv_id": "physics/0702147",
    "authors": [
      "J. A. S. Lima",
      "F. E. M. da Silveira"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "title": "Rayleigh\u0027s collapsing time of a spherical cavity: the $\\Delta$-factor",
    "url": "https://arxiv.org/abs/physics/0702147"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1b3c5d1f-2297-4fc3-ae01-79576b4952ab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}