{
  "annotation_id": "1223071c-6228-42b3-b280-0a5d08db66f9",
  "date_created": "2026-03-02T18:00:43.267000Z",
  "date_modified": "2026-03-02T18:00:43.267000Z",
  "file_hash": "1b78a5fe783bc109f7c6e2d3048e75eb9d38137a82bc32bce826f22e41288db8",
  "private": false,
  "record": {
    "abstract": "Phase mixing of chaotic orbits exponentially distributes these orbits through\ntheir accessible phase space. This phenomenon, commonly called ``chaotic\nmixing\u0027\u0027, stands in marked contrast to phase mixing of regular orbits which\nproceeds as a power law in time. It is operationally irreversible; hence, its\nassociated e-folding time scale sets a condition on any process envisioned for\nemittance compensation. A key question is whether beams can support chaotic\norbits, and if so, under what conditions? We numerically investigate the\nparameter space of three-dimensional thermal-equilibrium beams with space\ncharge, confined by linear external focusing forces, to determine whether the\nassociated potentials support chaotic orbits. We find that a large subset of\nthe parameter space does support chaos and, in turn, chaotic mixing. Details\nand implications are enumerated.",
    "arxiv_id": "physics/0306006",
    "authors": [
      "Courtlandt L. Bohn",
      "Ioannis V. Sideris"
    ],
    "categories": [
      "physics.acc-ph"
    ],
    "doi": "10.1103/PhysRevSTAB.6.034203",
    "journal_ref": "Phys.Rev.ST Accel.Beams 6 (2003) 034203",
    "title": "Chaotic Orbits in Thermal-Equilibrium Beams: Existence and Dynamical   Implications",
    "url": "https://arxiv.org/abs/physics/0306006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "18598f91-cf65-48bf-b724-617cd53ea6b8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}