{
  "annotation_id": "9cda9d50-e3d7-4756-be03-7643764a09d2",
  "date_created": "2026-03-02T18:01:03.866000Z",
  "date_modified": "2026-03-02T18:01:03.866000Z",
  "file_hash": "10c28059cb981012f1845fe84cdff6b426911648429356ee46de8b04d32b2a3f",
  "private": false,
  "record": {
    "abstract": "This paper is concerned with classes of models of stochastic reaction\ndynamics with time-scales separation. We demonstrate that the existence of the\ntime-scale separation naturally leads to the application of the averaging\nprinciple and elimination of degrees of freedom via the renormalization of\ntransition rates of slow reactions. The method suggested in this work is more\ngeneral than other approaches presented previously: it is not limited to a\nparticular type of stochastic processes and can be applied to different types\nof processes describing fast dynamics, and also provides crossover to the case\nwhen separation of time scales is not well pronounced. We derive a family of\nexact fluctuation-dissipation relations which establish the connection between\neffective rates and the statistics of the reaction events in fast reaction\nchannels. An illustration of the technique is provided. Examples show that\nrenormalized transition rates exhibit in general non-exponential relaxation\nbehavior with a broad range of possible scenarios.",
    "arxiv_id": "physics/0510054",
    "authors": [
      "Sergey Plyasunov"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.chem-ph"
    ],
    "title": "Averaging methods for stochastic dynamics of complex reaction networks:   description of multi-scale couplings",
    "url": "https://arxiv.org/abs/physics/0510054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f6491a7f-2d52-4878-afb7-57b5e9bb91a7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}