{
  "annotation_id": "75222040-be33-4e84-81e7-25269f7b8d00",
  "date_created": "2026-03-02T18:00:53.738000Z",
  "date_modified": "2026-03-02T18:00:53.738000Z",
  "file_hash": "66cdf422b570a88cec1dbfaa3bd0b2646c9d3e0809fbab26e3499414ff7c350f",
  "private": false,
  "record": {
    "abstract": "In principle, the generalized master equation can be used to efficiently\ncompute the macroscopic first passage time (FPT) distribution of a complex\nstochastic system from short-term microscopic simulation data. However,\ncomputing its transition function matrix, Gamma(tau), from such data can be\npractically difficult or impossible. We solve this problem by showing that the\nFPT moment generating function is a simple function of the (easily computable)\nLaplace transform of the local FPT distribution matrix. Physical insight into\nthis relationship is obtained by analyzing the process of steady-state\nrelaxation.",
    "arxiv_id": "physics/0409053",
    "authors": [
      "David Shalloway"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.chem-ph"
    ],
    "title": "Steady-state relaxation and the first passage time distribution of the   generalized master equation",
    "url": "https://arxiv.org/abs/physics/0409053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "57894e60-33be-4602-9882-42cd832b6d69",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}