{
  "id": "2406.07627",
  "version": "v1",
  "published": "2024-06-11T18:00:13.000Z",
  "updated": "2024-06-11T18:00:13.000Z",
  "title": "Semi-Analytical Fokker Planck Models for Nuclear Star Clusters",
  "authors": [
    "Karamveer Kaur",
    "Barak Rom",
    "Re'em Sari"
  ],
  "comment": "Submitted to ApJ; comments are welcome",
  "categories": [
    "astro-ph.HE",
    "nucl-th"
  ],
  "abstract": "We study the dynamics of nuclear star clusters, the dense stellar environments surrounding massive black holes in the centers of galaxies. We consider angular momentum diffusion due to two-body scatterings among stellar objects and energy advection due to gravitational wave emission upon interaction with the central massive black hole. Such dynamics is described by a two-dimensional Fokker-Planck equation in energy-angular momentum space. Focusing on the transition between the diffusion-dominated region and the advection-dominated one, we utilize self-similarity to obtain a full solution for the Fokker-Planck equation. This solution provides the density and flux of the stellar objects in nuclear star clusters. This improves the rate estimates for extreme mass-ratio inspirals, and has interesting implications for a new class of galactic center transients called quasi-periodic eruptions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-11T18:00:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nuclear star clusters",
      "semi-analytical fokker planck models",
      "surrounding massive black holes",
      "environments surrounding massive black",
      "stellar environments surrounding massive"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}