{
  "annotation_id": "59efa960-4729-455a-8bd0-76d1dab35724",
  "date_created": "2026-03-02T18:00:04.823000Z",
  "date_modified": "2026-03-02T18:00:04.823000Z",
  "file_hash": "23ad747856867bd9fccb4c6885440daa36861a54f9b0c4abb2f1fb0ec9b6f597",
  "private": false,
  "record": {
    "abstract": "We discuss an exact analytical solution of a simplified version of the\nstatistical multifragmentation model with the restriction that the largest\nfragment size cannot exceed the finite volume of the system. A complete\nanalysis of the isobaric partition singularities of this model is done for\nfinite volumes. It is shown that the real part of any simple pole of the\nisobaric partition defines the free energy of the corresponding state, whereas\nits imaginary part, depending on the sign, defines the inverse decay/formation\ntime of this state. The developed formalism allows us, for the first time, to\nexactly define the finite volume analogs of gaseous, liquid and mixed phases of\nthis model from the first principles of statistical mechanics and demonstrate\nthe pitfalls of earlier works. The finite size effects for large fragments and\nthe role of metastable (unstable) states are discussed.",
    "arxiv_id": "nucl-th/0507028",
    "authors": [
      "Kyrill A. Bugaev"
    ],
    "categories": [
      "nucl-th"
    ],
    "title": "Exact Analytical Solution of the Constrained Statistical   Multifragmentation Model and Phase Transitions in Finite Systems",
    "url": "https://arxiv.org/abs/nucl-th/0507028"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cf150f34-6ce8-48c8-8f39-89f2c836e622",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}