{
  "id": "2204.02834",
  "version": "v1",
  "published": "2022-04-06T13:56:52.000Z",
  "updated": "2022-04-06T13:56:52.000Z",
  "title": "Long-term relaxation of ${1D}$ self-gravitating systems",
  "authors": [
    "Mathieu Roule",
    "Jean-Baptiste Fouvry",
    "Christophe Pichon",
    "Pierre-Henri Chavanis"
  ],
  "comment": "12 pages, 11 figures, submitted to APS",
  "categories": [
    "cond-mat.stat-mech",
    "astro-ph.GA"
  ],
  "abstract": "We investigate the long-term relaxation of one-dimensional (${1D}$) self-gravitating systems, using both kinetic theory and $N$-body simulations. We consider thermal and Plummer equilibria, with and without collective effects. All combinations are found to be in clear agreement with respect to the Balescu-Lenard and Landau predictions for the diffusion coefficients. Interestingly, collective effects reduce the diffusion by a factor ${\\sim 10}$. The predicted flux for Plummer equilibrium matches the measured one, which is a remarkable validation of kinetic theory. We also report on a situation of quasi kinetic blocking for the same equilibrium.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-06T13:56:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long-term relaxation",
      "self-gravitating systems",
      "kinetic theory",
      "plummer equilibrium matches",
      "body simulations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}