{
  "id": "cond-mat/0004442",
  "version": "v1",
  "published": "2000-04-26T16:24:21.000Z",
  "updated": "2000-04-26T16:24:21.000Z",
  "title": "Exact Calculation of the Spatio-temporal Correlations in the Takayasu model and in the q-model of Force Fluctuations in Bead Packs",
  "authors": [
    "R. Rajesh",
    "Satya N. Majumdar"
  ],
  "comment": "15 pages, RevTex, 2 figures",
  "journal": "Phys. Rev. E., 62 (2000) 3186",
  "doi": "10.1103/PhysRevE.62.3186",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We calculate exactly the two point mass-mass correlations in arbitrary spatial dimensions in the aggregation model of Takayasu. In this model, masses diffuse on a lattice, coalesce upon contact and adsorb unit mass from outside at a constant rate. Our exact calculation of the variance of mass at a given site proves explicitly, without making any assumption of scaling, that the upper critical dimension of the model is 2. We also extend our method to calculate the spatio-temporal correlations in a generalized class of models with aggregation, fragmentation and injection which include, in particular, the $q$-model of force fluctuations in bead packs. We present explicit expressions for the spatio-temporal force-force correlation function in the $q$-model. These can be used to test the applicability of the $q$-model in experiments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-04-26T16:24:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact calculation",
      "spatio-temporal correlations",
      "force fluctuations",
      "bead packs",
      "takayasu model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}