{
  "id": "2408.12940",
  "version": "v1",
  "published": "2024-08-23T09:44:46.000Z",
  "updated": "2024-08-23T09:44:46.000Z",
  "title": "An Analytic Model of Gravitational Collapse Induced by Radiative Cooling: Instability Scale, Infall Velocity, and Accretion Rate",
  "authors": [
    "James Gurian",
    "Boyuan Liu",
    "Donghui Jeong",
    "Takashi Hosokawa",
    "Shingo Hirano",
    "Naoki Yoshida"
  ],
  "comment": "11+3 pages, 14+3 figures",
  "categories": [
    "astro-ph.GA"
  ],
  "abstract": "We present an analytic description of the spherically symmetric gravitational collapse of radiatively cooling gas clouds. The approach is based on developing the \"one-zone\" density-temperature relationship of the gas into a full dynamical model. We convert this density-temperature relationship into a barotropic equation of state, which we use to calculate the density and velocity profiles of the gas. From these quantities we calculate the time-dependent mass accretion rate onto the center of the cloud. The approach clarifies the mechanism by which radiative cooling induces gravitational instability. In particular, we distinguish the rapid, quasi-equilibrium contraction of a cooling gas core to high central densities from the legitimate instability this contraction establishes in the envelope. We develop a refined criterion for the mass scale of this instability, based only on the chemical-thermal evolution in the core. We explicate our model in the context of a primordial mini-halo cooled by molecular hydrogen, and then provide two further examples, a delayed collapse with hydrogen deuteride cooling and the collapse of an atomic cooling halo. In all three cases, our results agree well with full hydrodynamical treatments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-23T09:44:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gravitational collapse",
      "instability scale",
      "analytic model",
      "infall velocity",
      "radiative cooling"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}