{
  "id": "cond-mat/9703175",
  "version": "v1",
  "published": "1997-03-19T09:26:40.000Z",
  "updated": "1997-03-19T09:26:40.000Z",
  "title": "Branching Transition of a Directed Polymer in Random Medium",
  "authors": [
    "Giovanni Sartoni",
    "Attilio L. Stella"
  ],
  "comment": "REVTEX, 4 pages, 3 encapsulated eps figures",
  "doi": "10.1209/epl/i1997-00285-3",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "A directed polymer is allowed to branch, with configurations determined by global energy optimization and disorder. A finite size scaling analysis in 2D shows that, if disorder makes branching more and more favorable, a critical transition occurs from the linear scaling regime first studied by Huse and Henley [Phys. Rev. Lett. 54, 2708 (1985)] to a fully branched, compact one. At criticality clear evidence is obtained that the polymer branches at all scales with dimension ${\\bar d}_c$ and roughness exponent $\\zeta_c$ satisfying $({\\bar d}_c-1)/\\zeta_c = 0.13\\pm 0.01$, and energy fluctuation exponent $\\omega_c=0.26 \\pm0.02$, in terms of longitudinal distance",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-03-19T09:26:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "directed polymer",
      "random medium",
      "branching transition",
      "global energy optimization",
      "energy fluctuation exponent"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}