{
  "id": "1009.5248",
  "version": "v1",
  "published": "2010-09-27T13:11:42.000Z",
  "updated": "2010-09-27T13:11:42.000Z",
  "title": "Analytical approaches to time and length scales in models of glasses",
  "authors": [
    "Silvio Franz",
    "Guilhem Semerjian"
  ],
  "comment": "Chapter of \"Dynamical heterogeneities in glasses, colloids, and granular media\", Eds.: L. Berthier, G. Biroli, J-P Bouchaud, L. Cipelletti and W. van Saarloos (Oxford University Press, to appear), more info at http://w3.lcvn.univ-montp2.fr/~lucacip/DH_book.htm",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "The goal of this chapter is to review recent analytical results about the growth of a (static) correlation length in glassy systems, and the connection that can be made between this length scale and the equilibrium correlation time of its dynamics. The definition of such a length scale is first given in a generic setting, including finite-dimensional models, along with rigorous bounds linking it to the correlation time. We then present some particular cases (finite connectivity mean-field models, and Kac limit of finite dimensional systems) where this length can be actually computed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-27T13:11:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "length scale",
      "analytical approaches",
      "finite connectivity mean-field models",
      "finite dimensional systems",
      "equilibrium correlation time"
    ],
    "tags": [
      "book chapter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.5248F"
    }
  }
}