{
  "id": "cond-mat/9905433",
  "version": "v4",
  "published": "1999-05-31T10:34:24.000Z",
  "updated": "1999-12-16T18:15:03.000Z",
  "title": "Theory of Non-linear Susceptibility and Correlation Length in Glasses and Liquids",
  "authors": [
    "Claudio Donati",
    "Silvio Franz",
    "Giorgio Parisi",
    "Sharon C. Glotzer"
  ],
  "comment": "4 pages, 3 figures Replaced version, corrected some minor misprint and a figure",
  "journal": "J. Non-Cryst. Solids 307 - 310 (2002) 215 - 224",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mtrl-sci",
    "cond-mat.stat-mech"
  ],
  "abstract": "Within the framework of the effective potential theory of the structural glass transition, we calculate for the p-spin model a static nonlinear susceptibility related to a four-point density correlation function, and show that it grows and diverges in mean field with exponent $\\gamma=1/2$ as the mode coupling critical temperature T_c is approached from below. When T_c is approached from above, we calculate within the mode coupling framework a dynamic nonlinear susceptibility and show that there is a characteristic time where the susceptibility is a maximum, and that this time grows with decreasing T. We find that this susceptibility diverges as T_c is approached from above, and has key features in common with the ``displacement-displacement susceptibility'' recently introduced to measure correlated particle motion in simulations of glass-forming liquids.",
  "revisions": [
    {
      "version": "v4",
      "updated": "1999-12-16T18:15:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "correlation length",
      "non-linear susceptibility",
      "four-point density correlation function",
      "static nonlinear susceptibility",
      "structural glass transition"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999cond.mat..5433D"
    }
  }
}