{
  "id": "1208.6121",
  "version": "v2",
  "published": "2012-08-30T09:53:19.000Z",
  "updated": "2012-11-11T00:59:06.000Z",
  "title": "Stretched exponentials and tensionless glass in the plaquette Ising model",
  "authors": [
    "Adam Lipowski"
  ],
  "comment": "extended version, Phys.Rev. E (accepted)",
  "journal": "Phys.Rev. E 86, 051129 (2012)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Using Monte Carlo simulations we show that the autocorrelation function $C(t)$ in the d=3 Ising model with a plaquette interaction has a stretched-exponential decay in a supercooled liquid phase. Such a decay characterizes also some ground-state probability distributions obtained from the numerically exact counting of up to 10^450 configurations. A related model with a strongly degenerate ground state but lacking glassy features does not exhibit such a decay. Althoug the stretched exponential decay of C(t) in the three-dimensional supercooled liquid is inconsistent with the droplet model, its modification that considers tensionless droplets might explain such a decay. An indication that tensionless droplets might play some role comes from the analysis of low-temperature domains that compose the glassy state. It shows that the energy of a domain of size l scales as l^1.15, hence these domains are indeed tensionless .",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-11-11T00:59:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.20.Jj"
    ],
    "keywords": [
      "plaquette ising model",
      "stretched exponential",
      "tensionless glass",
      "tensionless droplets",
      "monte carlo simulations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "doi": "10.1103/PhysRevE.86.051129",
      "year": 2012,
      "month": "Nov",
      "volume": 86,
      "number": 5,
      "pages": "051129"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvE..86e1129L"
    }
  }
}