{
  "id": "cond-mat/0101212",
  "version": "v2",
  "published": "2001-01-15T15:25:11.000Z",
  "updated": "2001-02-07T21:58:19.000Z",
  "title": "A Method of Intervals for the Study of Diffusion-Limited Annihilation, A + A --> 0",
  "authors": [
    "Thomas M. Masser",
    "Daniel ben-Avraham"
  ],
  "comment": "RevTeX, 13 pages, 4 figures, 1 table. References Added, and some other minor changes, to conform with final form",
  "journal": "Physical Review E 63, 066108 (2001).",
  "doi": "10.1103/PhysRevE.63.066108",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We introduce a method of intervals for the analysis of diffusion-limited annihilation, A+A -> 0, on the line. The method leads to manageable diffusion equations whose interpretation is intuitively clear. As an example, we treat the following cases: (a) annihilation in the infinite line and in infinite (discrete) chains; (b) annihilation with input of single particles, adjacent particle pairs, and particle pairs separated by a given distance; (c) annihilation, A+A -> 0, along with the birth reaction A -> 3A, on finite rings, with and without diffusion.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-02-07T21:58:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffusion-limited annihilation",
      "adjacent particle pairs",
      "manageable diffusion equations",
      "infinite line",
      "finite rings"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}