{
  "annotation_id": "333579c3-c703-4ceb-8380-fbf1a5f37ed2",
  "date_created": "2026-03-02T18:00:29.362000Z",
  "date_modified": "2026-03-02T18:00:29.362000Z",
  "file_hash": "7ccc1e02d5dcb82fef6e2fb2c16f926bb0c4db5511b358044f00d3a1960af511",
  "private": false,
  "record": {
    "abstract": "A system of inelastic hard disks in a thin pipe capped by hot walls is\nstudied with the aim of investigating velocity correlations between particles.\nTwo effects lead to such correlations: inelastic collisions help to build\nlocalized correlations, while momentum conservation and diffusion produce long\nranged correlations. In the quasi-elastic limit, the velocity correlation is\nweak, but it is still important since it is of the same order as the deviation\nfrom uniformity. For system with stronger inelasticity, the pipe contains a\nclump of particles in highly correlated motion. A theory with empirical\nparameters is developed. This theory is composed of equations similar to the\nusual hydrodynamic laws of conservation of particles, energy, and momentum.\nNumerical results show that the theory describes the dynamics satisfactorily in\nthe quasi-elastic limit, however only qualitatively for stronger inelasticity.",
    "arxiv_id": "patt-sol/9806003",
    "authors": [
      "Tong Zhou"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS",
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevE.58.7587",
    "title": "Velocity correlations in granular materials",
    "url": "https://arxiv.org/abs/patt-sol/9806003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "006971cc-5f52-4b97-b742-b5bc8c724202",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}