{
  "id": "1703.04305",
  "version": "v1",
  "published": "2017-03-13T09:36:31.000Z",
  "updated": "2017-03-13T09:36:31.000Z",
  "title": "Statistical properties of one-dimensional directed polymers in a random potential",
  "authors": [
    "Victor Dotsenko"
  ],
  "comment": "68 pages, 7 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "This review is devoted to the detailed consideration of the universal statistical properties of one-dimensional directed polymers in a random potential. In terms of the replica Bethe ansatz technique we derive several exact results for different types of the free energy probability distribution functions. In the second part of the review we discuss the problems which are still waiting for their solutions. Several mathematical appendices in the ending part of the review contain various technical details of the performed calculations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-13T09:36:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional directed polymers",
      "random potential",
      "statistical properties",
      "free energy probability distribution functions",
      "replica bethe ansatz technique"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 68,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}