{
  "annotation_id": "1b418d86-7639-4eb2-bc0d-a423aa38d0b2",
  "date_created": "2026-03-02T18:00:11.223000Z",
  "date_modified": "2026-03-02T18:00:11.223000Z",
  "file_hash": "91f82c7478ab22b7945efac82a57f149831678804e4d359ac9441fc4e296b766",
  "private": false,
  "record": {
    "abstract": "The Green-Kubo-Nakano formula should be modified in relativistic\nhydrodynamics because of the problem of acausality and the breaking of sum\nrules. In this work, we propose a formula to calculate the transport\ncoefficients of causal hydrodynamics based on the projection operator method.\nAs concrete examples, we derive the expressions for the diffusion coefficient,\nthe shear viscosity coefficient, and corresponding relaxation times.",
    "arxiv_id": "nucl-th/0703038",
    "authors": [
      "T. Koide"
    ],
    "categories": [
      "nucl-th",
      "cond-mat.stat-mech",
      "hep-ph"
    ],
    "doi": "10.1103/PhysRevE.75.060103",
    "journal_ref": "Phys.Rev.E75:060103,2007",
    "title": "Microscopic formula for transport coefficients of causal hydrodynamics",
    "url": "https://arxiv.org/abs/nucl-th/0703038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "85f274c1-ee51-4c9a-a8d0-658fae807f0c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}