{
  "annotation_id": "61d05f78-0fd4-4ea8-8eb3-8fba9022a1c3",
  "date_created": "2026-03-02T18:01:21.521000Z",
  "date_modified": "2026-03-02T18:01:21.521000Z",
  "file_hash": "9e2413aa0a978e639a9f24babde72270e7eb2d9bcd8b65734c574e5c4ceb7047",
  "private": false,
  "record": {
    "abstract": "In this work we derive evolution equations for the nonlinear behavior of a\ncoasting beam under the influence of a resonator impedance. Using a\nrenormalization group approach we find a set of coupled nonlinear equations for\nthe beam density and the resonator voltage. Under certain conditions, these may\nbe analytically solved yielding solitary wave behavior, even in the presence of\nsignificant dissipation in the resonator. We find long-lived perturbations,\ni.e. droplets, which separate from the beam and decelerate towards a\nquasi-equilibrium state, in good agreement with simulation results.",
    "arxiv_id": "physics/9808032",
    "authors": [
      "S. I. Tzenov",
      "P. L. Colestock"
    ],
    "categories": [
      "physics.acc-ph",
      "nlin.PS",
      "patt-sol",
      "physics.plasm-ph"
    ],
    "title": "Solitary Waves on a Coasting High-Energy Stored Beam",
    "url": "https://arxiv.org/abs/physics/9808032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a61c46e4-7335-42cf-a517-8a55ed2c7dba",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}