{
  "id": "cond-mat/0112384",
  "version": "v1",
  "published": "2001-12-20T15:00:46.000Z",
  "updated": "2001-12-20T15:00:46.000Z",
  "title": "Fragility of the glassy state of a directed polymer in random media: a replica approach",
  "authors": [
    "Marta Sales",
    "Hajime Yoshino"
  ],
  "comment": "5 pages",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the stability of the glassy equilibrium state of a directed polymer in random media against weak perturbations including the intriguing problem of temperature-chaos. The statistical correlation of two real replica systems under perturbations, such as small difference of temperature, is studied using the mapping to a quantum problem of interacting bosons. Explicit replica symmetry breaking takes place being induced by the infinitesimally weak perturbations in the $n \\to 0$ limit followed by the thermodynamic limit which leads to complete decorrelation of the two real replicas. The overlap lengths anticipated by phenomenological scaling arguments are retrieved as a correlation length associated with this explicit replica symmetry breaking.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-12-20T15:00:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random media",
      "directed polymer",
      "glassy state",
      "replica approach",
      "explicit replica symmetry breaking"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001cond.mat.12384S"
    }
  }
}