{
  "id": "cond-mat/9912293",
  "version": "v1",
  "published": "1999-12-16T01:12:09.000Z",
  "updated": "1999-12-16T01:12:09.000Z",
  "title": "Particle Systems with Stochastic Passing",
  "authors": [
    "I. Ispolatov",
    "P. L. Krapivsky"
  ],
  "comment": "5 pages, 5 figures",
  "doi": "10.1103/PhysRevE.61.R2163",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We study a system of particles moving on a line in the same direction. Passing is allowed and when a fast particle overtakes a slow particle, it acquires a new velocity drawn from a distribution P_0(v), while the slow particle remains unaffected. We show that the system reaches a steady state if P_0(v) vanishes at its lower cutoff; otherwise, the system evolves indefinitely.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-12-16T01:12:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "particle systems",
      "stochastic passing",
      "fast particle overtakes",
      "slow particle remains",
      "velocity drawn"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}