{
  "annotation_id": "ea6f316c-a102-4f29-b4c1-91b8627019aa",
  "date_created": "2026-03-02T18:00:15.527000Z",
  "date_modified": "2026-03-02T18:00:15.527000Z",
  "file_hash": "0445cc7609238c87c5544ed3e788ac4d6f1d41e03bab6b3d3d7f60d0dd3ed241",
  "private": false,
  "record": {
    "abstract": "Linear rate equations are used to describe the cascading decay of an initial\nheavy cluster into fragments. This representation is based upon a triangular\nmatrix of transition rates. We expand the state vector of mass multiplicities,\nwhich describes the process, into the biorthonormal basis of eigenmodes\nprovided by the triangular matrix. When the transition rates have a scaling\nproperty in terms of mass ratios at binary fragmentation vertices, we obtain\nsolvable models with explicit mathematical properties for the eigenmodes. A\nsuitable continuous limit provides an interpolation between the solvable\nmodels. It gives a general relationship between the decay products and the\nelementary transition rates.",
    "arxiv_id": "nucl-th/9412026",
    "authors": [
      "B. G. Giraud",
      "W-h. Ma",
      "R. Peschanski"
    ],
    "categories": [
      "nucl-th",
      "hep-ph"
    ],
    "doi": "10.1103/PhysRevE.52.R4599",
    "title": "Eigenmodes of Decay and Discrete Fragmentation Processes",
    "url": "https://arxiv.org/abs/nucl-th/9412026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4903a88c-69d3-4cab-bf9c-51dd55621e1a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}