{
  "id": "0803.1962",
  "version": "v1",
  "published": "2008-03-13T13:31:42.000Z",
  "updated": "2008-03-13T13:31:42.000Z",
  "title": "Multidimensional persistence behaviour in an Ising system",
  "authors": [
    "Anjan Kumar Chandra",
    "Subinay Dasgupta"
  ],
  "comment": "6 pages, 12 figures",
  "journal": "Physical Review E 77, 031111 (2008)",
  "doi": "10.1103/PhysRevE.77.031111",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider a periodic Ising chain with nearest-neighbour and $r$-th neighbour interaction and quench it from infinite temperature to zero temperature. The persistence probability $P(t)$, measured as the probability that a spin remains unflipped upto time $t$, is studied by computer simulation for suitable values of $r$. We observe that as time progresses, $P(t)$ first decays as $t^{-0.22}$ (-the {\\em first} regime), then the $P(t)-t$ curve has a small slope (in log-log scale) for some time (-the {\\em second} regime) and at last it decays nearly as $t^{-3/8}$ (-the {\\em third} regime). We argue that in the first regime, the persistence behaviour is the usual one for a two-dimensional system, in the second regime it is like that of a non-interacting (`zero-dimensional') system and in the third regime the persistence behaviour is like that of a one dimensional Ising model. We also provide explanations for such behaviour.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-13T13:31:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.60.Ht",
      "05.50.+q"
    ],
    "keywords": [
      "multidimensional persistence behaviour",
      "ising system",
      "spin remains unflipped upto time",
      "th neighbour interaction",
      "computer simulation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2008,
      "month": "Mar",
      "volume": 77,
      "number": 3,
      "pages": "031111"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvE..77c1111C"
    }
  }
}