{
  "id": "cond-mat/0502271",
  "version": "v1",
  "published": "2005-02-10T21:40:30.000Z",
  "updated": "2005-02-10T21:40:30.000Z",
  "title": "Dynamic Heterogeneity in the Glauber-Ising chain",
  "authors": [
    "Peter Mayer",
    "Peter Sollich",
    "Ludovic Berthier",
    "Juan P. Garrahan"
  ],
  "comment": "18 pages, 4 figures",
  "journal": "J. Stat. Mech. (2005) P05002",
  "doi": "10.1088/1742-5468/2005/05/P05002",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "In a recent paper [P. Mayer et al., Phys. Rev. Lett. 93, 115701 (2004)] it was shown, by means of experiments, theory and simulations, that coarsening systems display dynamic heterogeneity analogous to that of glass formers. Here, we present a detailed analysis of dynamic heterogeneities in the Glauber-Ising chain. We discuss how dynamic heterogeneity in Ising systems must be measured through connected multi-point correlation functions. We show that in the coarsening regime of the Ising chain these multi-point functions reveal the growth of spatial correlations in the dynamics, beyond what can be inferred from standard two-point correlations. They have non-trivial scaling properties, which we interpret in terms of the diffusion-annihilation dynamics of domain walls. In the equilibrium dynamics of the Ising chain, on the other hand, connected multi-point functions vanish exactly and dynamic heterogeneity is not observed. Our results highlight the similarities between coarsening systems and glass formers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-10T21:40:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "glauber-ising chain",
      "display dynamic heterogeneity analogous",
      "multi-point functions vanish",
      "coarsening systems display dynamic heterogeneity",
      "glass formers"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2005,
      "month": "May",
      "volume": 2005,
      "number": 5,
      "pages": 5002
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005JSMTE..05..002M"
    }
  }
}