{
  "id": "cond-mat/0002324",
  "version": "v1",
  "published": "2000-02-21T13:01:58.000Z",
  "updated": "2000-02-21T13:01:58.000Z",
  "title": "Transient Dynamics of Pinning",
  "authors": [
    "G. K. Leaf",
    "S. Obukhov",
    "S. Scheidl",
    "V. M. Vinokur"
  ],
  "comment": "4 pages with figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the evolution of an elastic string into the pinned state at driving forces slightly below the depinning threshold force $F_c$. We quantify the temporal evolution of the string by an {\\it activity function} $A(t)$ representing the fraction of active nodes at time $t$ and find three distinct dynamic regimes. There is an initial stage of fast decay of the activity; in the second, intermediate, regime, an exponential decay of activity is observed; and, eventually, the fast collapse of the string towards its final pinned state results in an decay in the activity with $\\Am \\sim (t_p-t)^{\\psi}$, where $t_p$ is the pinning time in the finite system involved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-02-21T13:01:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transient dynamics",
      "distinct dynamic regimes",
      "final pinned state results",
      "initial stage",
      "temporal evolution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000cond.mat..2324L"
    }
  }
}