{
  "id": "1708.06440",
  "version": "v1",
  "published": "2017-08-21T22:32:07.000Z",
  "updated": "2017-08-21T22:32:07.000Z",
  "title": "Phase Transitions in Systems with Aggregation and Shattering",
  "authors": [
    "P. L. Krapivsky",
    "W. Otieno",
    "N. V. Brilliantov"
  ],
  "comment": "10 pages, 12 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider a system of clusters made of elementary building blocks, monomers, and evolving via collisions between diffusing monomers and immobile composite clusters. In our model, the cluster-monomer collision can lead to the attachment of the monomer to the cluster (addition process) or to the total break-up of the cluster (shattering process). A phase transition, separating qualitatively different behaviors, occurs when the probability of shattering events exceeds a certain threshold. The novel feature of the phase transition is the dramatic dependence on the initial conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-21T22:32:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase transition",
      "aggregation",
      "initial conditions",
      "elementary building blocks",
      "immobile composite clusters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}