{
  "id": "cond-mat/0605173",
  "version": "v2",
  "published": "2006-05-07T20:00:24.000Z",
  "updated": "2006-08-02T11:55:19.000Z",
  "title": "DNA unzipping and the unbinding of directed polymers in a random media",
  "authors": [
    "Yariv Kafri",
    "Anatoli Polkovnikov"
  ],
  "comment": "5 pages, 2 figures, minor modifications, added discussion on stochastic matrix form decomposition",
  "journal": "Phys. Rev. Lett. 97, 208104 (2006)",
  "doi": "10.1103/PhysRevLett.97.208104",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We consider the unbinding of a directed polymer in a random media from a wall in $d=1+1$ dimensions and a simple one-dimensional model for DNA unzipping. Using the replica trick we show that the restricted partition functions of these problems are {\\em identical} up to an overall normalization factor. Our finding gives an example of a generalization of the stochastic matrix form decomposition to disordered systems; a method which effectively allows to reduce dimensionality of the problem. The equivalence between the two problems, for example, allows us to derive the probability distribution for finding the directed polymer a distance $z$ from the wall. We discuss implications of these results for the related Kardar-Parisi-Zhang equation and the asymmetric exclusion process.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-08-02T11:55:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "directed polymer",
      "random media",
      "dna unzipping",
      "stochastic matrix form decomposition",
      "asymmetric exclusion process"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}