{
  "id": "cond-mat/0003444",
  "version": "v1",
  "published": "2000-03-28T07:52:31.000Z",
  "updated": "2000-03-28T07:52:31.000Z",
  "title": "Dynamics of structural models with a long-range interaction: glassy versus non-glassy behavior",
  "authors": [
    "V. G. Rostiashvili",
    "T. A. Vilgis"
  ],
  "comment": "to be published in Phys. Rev E",
  "doi": "10.1103/PhysRevE.62.1560",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "By making use of the Langevin dynamics and its generating functional (GF) formulation the influence of the long-range nature of the interaction on the tendency of the glass formation is systematically investigated. In doing so two types of models is considered: (i) the non-disordered model with a pure repulsive type of interaction and (ii) the model with a randomly distributed strength of interaction (a quenched disordered model). The long-ranged potential of interaction is scaled with a number of particles $N$ in such a way as to enable for GF the saddle-point treatment as well as the systematic 1/N - expansion around it. We show that the non-disordered model has no glass transition which is in line with the mean-field limit of the mode - coupling theory (MCT) predictions. On the other hand the model with a long-range interaction which above that has a quenched disorder leads to MC - equations which are generic for the $p$ - spin glass model and polymeric manifold in a random media.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-03-28T07:52:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long-range interaction",
      "structural models",
      "non-glassy behavior",
      "non-disordered model",
      "spin glass model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}