{
  "id": "cond-mat/0604053",
  "version": "v1",
  "published": "2006-04-03T14:00:17.000Z",
  "updated": "2006-04-03T14:00:17.000Z",
  "title": "On the dynamics of Kac $p$-spin glasses",
  "authors": [
    "Silvio Franz"
  ],
  "comment": "Submitted to JSP Special Issue on the Cortona Meeting \"Mathematical Physics of Spin Glasses\", Cortona (Italy), June 27 - July 2, 2005",
  "journal": "Journal of Statistical Physics, Vol. 126, Nos. 4/5, February/March 2007",
  "doi": "10.1007/s10955-006-9196-6",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "This paper discusses the dynamical properties of $p$-spin models with Kac kind interactions. For large but finite interaction range $R$ one finds two different time scales for relaxation. A first relaxation roughly independent of $R$ where the system is confined to limited regions of the configuration space and an $R$ dependent time scale where the system is able to escape the confining regions. I will argue that the $R$ independent time scales can be described through dynamical mean field theory, while non-perturbative new techniques have to be used to deal with the $R$ dependent scales.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-03T14:00:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin glasses",
      "kac kind interactions",
      "dynamical mean field theory",
      "finite interaction range",
      "first relaxation roughly independent"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}