{
  "id": "0908.4154",
  "version": "v1",
  "published": "2009-08-28T08:35:39.000Z",
  "updated": "2009-08-28T08:35:39.000Z",
  "title": "Relaxation dynamics of an elastic string in random media",
  "authors": [
    "Jae Dong Noh",
    "Hyunggyu Park"
  ],
  "journal": "PRE 80, 040102(R) (2009)",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We investigate numerically the relaxation dynamics of an elastic string in two-dimensional random media by thermal fluctuations starting from a flat configuration. Measuring spatial fluctuations of its mean position, we find that the correlation length grows in time asymptotically as $\\xi \\sim (\\ln t)^{1/\\tilde\\chi}$. This implies that the relaxation dynamics is driven by thermal activations over random energy barriers which scale as $E_B(\\ell) \\sim \\ell^{\\tilde\\chi}$ with a length scale $\\ell$. Numerical data strongly suggest that the energy barrier exponent $\\tilde{\\chi}$ is identical to the energy fluctuation exponent $\\chi=1/3$. We also find that there exists a long transient regime, where the correlation length follows a power-law dynamics as $\\xi \\sim t^{1/z}$ with a nonuniversal dynamic exponent $z$. The origin of the transient scaling behavior is discussed in the context of the relaxation dynamics on finite ramified clusters of disorder.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-28T08:35:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.60.Ht",
      "05.70.Ln",
      "75.50.Lk",
      "75.60.Ch"
    ],
    "keywords": [
      "relaxation dynamics",
      "elastic string",
      "two-dimensional random media",
      "long transient regime",
      "energy fluctuation exponent"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "doi": "10.1103/PhysRevE.80.040102",
      "year": 2009,
      "month": "Oct",
      "volume": 80,
      "number": 4,
      "pages": "040102"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhRvE..80d0102N"
    }
  }
}