{
  "id": "cond-mat/0005160",
  "version": "v1",
  "published": "2000-05-09T19:14:11.000Z",
  "updated": "2000-05-09T19:14:11.000Z",
  "title": "Entropy, Dynamics and Instantaneous Normal Modes in a Random Energy Model",
  "authors": [
    "Tom Keyes"
  ],
  "doi": "10.1103/PhysRevE.62.7905",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "It is shown that the fraction f of imaginary frequency instantaneous normal modes (INM) may be defined and calculated in a random energy model(REM) of liquids. The configurational entropy S and the averaged hopping rate among the states R are also obtained and related to f, with the results R~f and S=a+b*ln(f). The proportionality between R and f is the basis of existing INM theories of diffusion, so the REM further confirms their validity. A link to S opens new avenues for introducing INM into dynamical theories. Liquid 'states' are usually defined by assigning a configuration to the minimum to which it will drain, but the REM naturally treats saddle-barriers on the same footing as minima, which may be a better mapping of the continuum of configurations to discrete states. Requirements of a detailed REM description of liquids are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-09T19:14:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random energy model",
      "imaginary frequency instantaneous normal modes",
      "configurational entropy",
      "rem description"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}