{
  "id": "cond-mat/0003172",
  "version": "v1",
  "published": "2000-03-10T13:05:54.000Z",
  "updated": "2000-03-10T13:05:54.000Z",
  "title": "A minimal model for slow dynamics: Compaction of granular media under vibration or shear",
  "authors": [
    "Stefan Luding",
    "Maxime Nicolas",
    "Olivier Pouliquen"
  ],
  "comment": "8 pages, 4 figures - presented at: Compaction, Innsbruck, Austria Feb. 2000",
  "journal": "page 241 in: Compaction of Soils, Granulates and Powders, D. Kolymbas and W. Fellin (eds.), A. A. Balkema, Rotterdam (2000)",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "Based on experiments of the compaction of granular materials under periodic shear of a packing of glass beads, a minimal model for the dynamics of the packing density as a function of time is proposed. First, a random ``energy landscape'' is created by a random walk (RW) in energy. Second, an ensemble of RWs is performed for various temperatures in different temperature-time sequences. We identify the minimum (mean) of the energy landscape with the maximum (random) density. The temperature scaled by the step-size of the energy landscape determines the dynamics of the system and can be regarded as the agitation or shear amplitude. The model reproduces qualitatively both tapping and shear experiments. {\\bf Key-words}: Compaction, crystallization, Sinai-diffusion, random walks, quenched disorder",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-03-10T13:05:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal model",
      "slow dynamics",
      "granular media",
      "compaction",
      "random walk"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000cond.mat..3172L"
    }
  }
}