{
  "annotation_id": "482606f5-4c38-409b-910c-6c0f87dc6dca",
  "date_created": "2026-03-02T18:00:49.391000Z",
  "date_modified": "2026-03-02T18:00:49.391000Z",
  "file_hash": "6c8df6ab6d8ad2966995e7d0fd460a2f922cf8c7215d14a5f75ad6971d97805a",
  "private": false,
  "record": {
    "abstract": "Using the molecular dynamics method, we examine a discrete deterministic\nmodel for the motion of spherical particles in three-dimensional space. The\nmodel takes into account multiparticle collisions in arbitrary forms. Using\nfractional calculus we proposed an expression for the repulsive force, which is\nthe so called fractional interaction law. We then illustrate and discuss how to\ncontrol (correlate) the energy dissipation and the collisional time for an\nindividual article within multiparticle collisions. In the multiparticle\ncollisions we included the friction mechanism needed for the transition from\ncoupled torsion-sliding friction through rolling friction to static friction.\nAnalysing simple simulations we found that in the strong repulsive state binary\ncollisions dominate. However, within multiparticle collisions weak repulsion is\nobserved to be much stronger. The presented numerical results can be used to\nrealistically model the impact dynamics of an individual particle in a group of\ncolliding particles.",
    "arxiv_id": "physics/0404036",
    "authors": [
      "Jacek S. Leszczynski"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.geo-ph"
    ],
    "doi": "10.1103/PhysRevE.70.051315",
    "journal_ref": "Physical Review E 70(5), 2004, 051315",
    "title": "Using the fractional interaction law to model the impact dynamics in   arbitrary form of multiparticle collisions",
    "url": "https://arxiv.org/abs/physics/0404036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1512aa0d-276f-477c-abba-1b1cc8048fe0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}