{
  "id": "cond-mat/9709117",
  "version": "v1",
  "published": "1997-09-10T12:41:31.000Z",
  "updated": "1997-09-10T12:41:31.000Z",
  "title": "Phase Transition in a Conserved-Mass Model of Aggregation and Dissociation",
  "authors": [
    "Supriya Krishnamurthy",
    "Satya N. Majumdar",
    "Mustansir Barma"
  ],
  "comment": "4 pages, Revtex, 3 Postscript figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We introduce a new model of aggregation of particles where in addition to diffusion and aggregation upon contact, a single unit of mass can dissociate from a conglomerate. This dissociation move conserves the total mass and leads to a striking behaviour in the steady state. As the parameters are varied, the system undergoes a dynamical phase transition in all dimensions. In one phase the mass distribution decays exponentially for large mass whereas in the other phase there is a power law distribution of masses which coexists with an infinite mass aggregate. The model is investigated analytically within mean field theory, and numerically in one dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-09-10T12:41:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase transition",
      "conserved-mass model",
      "aggregation",
      "mean field theory",
      "power law distribution"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1997cond.mat..9117K"
    }
  }
}