{
  "id": "1510.06698",
  "version": "v1",
  "published": "2015-10-22T17:45:54.000Z",
  "updated": "2015-10-22T17:45:54.000Z",
  "title": "Self-avoiding walks subject to a force",
  "authors": [
    "EJ Janse van Rensburg",
    "SG Whittington"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We prove some theorems about self-avoiding walks attached to an impenetrable surface (i.e. positive walks) and subject to a force. Specifically we show the force dependence of the free energy is identical when the force is applied at the last vertex or at the top (confining) plane. We discuss the relevance of this result to numerical results and to a recent result about convergence rates when the walk is being pushed towards the surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-22T17:45:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B41",
      "82B80",
      "65C05"
    ],
    "keywords": [
      "self-avoiding walks subject",
      "force dependence",
      "free energy",
      "convergence rates",
      "impenetrable surface"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/49/11/11LT01",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2016,
      "month": "Mar",
      "volume": 49,
      "number": 11
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016JPhA...49kLT01J"
    }
  }
}