{
  "id": "2112.11694",
  "version": "v2",
  "published": "2021-12-22T06:54:47.000Z",
  "updated": "2022-05-08T05:39:27.000Z",
  "title": "Stochastic modeling of spreading and dissipation in mixed-chaotic systems that are driven quasistatically",
  "authors": [
    "Yehoshua Winsten",
    "Doron Cohen"
  ],
  "comment": "16 pages, 13 figures",
  "journal": "Phys. Rev. E 105, 054113 (2022)",
  "doi": "10.1103/PhysRevE.105.054113",
  "categories": [
    "cond-mat.stat-mech",
    "nlin.CD"
  ],
  "abstract": "We analyze energy spreading for a system that features mixed chaotic phase-space, whose control parameters (or slow degrees of freedom) vary quasi-statically. For demonstration purpose we consider the restricted 3~body problem, where the distance between the two central stars is modulated due to their Kepler motion. If the system featured hard-chaos, one would expect diffusive spreading with coefficient that can be estimated using linear-response (Kubo) theory. But for mixed phase space the chaotic sea is multi-layered. Consequently, it becomes a challenge to find a robust procedure that translates the sticky dynamics into a stochastic model. We propose a Poincar\\'e-sequencing method that reduces the multi-dimensional motion into a one-dimensional random-walk in impact-space. We test the implied relation between stickiness and the rate of spreading.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-05-08T05:39:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic model",
      "mixed-chaotic systems",
      "dissipation",
      "features mixed chaotic phase-space",
      "one-dimensional random-walk"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}